Abdi W. H. : Proc. Nat. Symp. Special Functions & Appl., gGorakhpur 1986, 159-162. O
Bi-basic functional equation of hypergeometric type.
Abdi W. H. : J. Math. Phys. Sci. 22 (1988), No.1, 79-86. xci
On bibasic analogues of Ramanujan´s results.
Abelman S. & Eyre D. : Computers and Math. with Appl. 20 (1990), No.8, 51-60. lxxii
A numerical study of multistep methods based on continued fractions.
Abouzahra M. & Lewin L. : J. Number Theory 21 (1985), 214-244. #171
The polylogarithm in algebraic number fields.
Abouzahra M. & Lewin L. : Aequationes Math. 31 (1986), 315-321. #171
The polylogarithm in the field of two irreducible quintics.
Abramov S. A. : USSR Comp. Maths. Math. Phys. 11 (1971), 324-330. lxxv
On the summation of rational functions.
Achuthan P. & Ponnuswamy S. : J. Math. & Physical Sci. 22 (1988), No.6, 663-679. xx / xxxiv2
A theorem of Ramanujan and conversion of continued fractions into powers series.
Achuthan P. & Ponnuswamy S. : Internet. J. Control 48 (1988), No.2, 499-511. xcix
Simultaneous expansion and inversion of the Cauer continued fractions of certain transfer functions.
Achuthan P. & Ponnuswamy S. : J. Approx. Theory 64 No.3 (1991), 291-314. xvi
On general two-point continued fraction expansions and Padé tables.
Achuthan P. & Ponnuswamy S. : J. Computational & Appl. Math. 41 (1992), No.3, 247-264. xxvi
Padè Approximants and Eisenstein-Ramanujan continued fractions.
Achutan P. & Ponnuswamy S. & Sundar S. : Proc. Nat. Symp. Special Functions, Gorakhpur 1986, 50-63. O
On certain special functions, continued fractions and Padé Approximants.
Achuthan P. & Rangarajan R. : J. Math. & Phys. Sci. 24 (1990), No.6, 369-380. xxxiv2
On a continued fraction representation of general Cauer third form.
Achuthan P. & Rangarajan R. : Appl. Numer. Math. 12 (1993), No.4, 297-313. c / upv-i1 / cxlviii
On regular C-fraction and general T-fraction expansions for ratios of basic hyperg. series and Ramanujan type identit.
Achuthan P. & Sundar S. : J. of Mathematical & Physical Sciences 23 (1989), No.6, 481-491.xxiv
Ramanujan functions, continued fractions and rational approximants.
Acreman D. & Loxon J. H. : Aequationes Mathematicae 30 (1986), 106-117. lxxxvi / cxvi
Asymptotic analysis of Ramanujan´s pairs.
Adamchik V. & Wagon S. : Amer. Math. Monthly 104 (1997), No.9, 852-855. #154
A simple formula for Pi.
Adamchik V. S. & Srivastava H. M. : Analysis 18 (1998), 131-144. cv-4
Some series of the zeta and related functions.
Adams C. R. : Annals of Math. (2) 32 (1931), 67-82. cxxv
On multiple factorial series.
Adams C. R. : Bull. Amer. Math. Soc. 37 (1931), 361-400. cxxviii
Linear q-difference equations.
Adams C. R. : Bull. Amer. Math. Soc. 37 (1931), 741-748. cxxv
Transformations of double sequences with applications to Cesáro summability of double series.
Adams C. R. : Trans. Amer. Math. Soc. 34 (1932), 215-230. cxxv
On summability of double series.
Adams C. R. : Annals of Math. (2) 33 (1932), 406-412. cxxv
Note on multiple Dirichlet and multiple factorial series.
Adams C. R. : Bull. Amer. Math. Soc. 39 (1933), 244-252. cxxv
Haussdorff transformations for double sequences.
Adams J. C. : Proc. Cambridge Phil. Soc. 2 (1872), 269-270. cxvii
On some properties of Bernoulli´s number in particular on Clausen´s theorem respecting the fractional parts of these.
Adams W. W. : Proc. Nat. Acad. Sci. 55 (1966), 28-31. Pi : A source book, 368-371.
Asymptotic Diophantine Approximations to e.
Adams W. W. & Davison J. L. : Proc. Amer. Math .Soc 65 (1977), 194-198. liv
A remarkable class of continued fractions.
Adams W. W. & Razar M. J. : Proc. London Math. Soc. 41 (1980), 481-490. xxviii
Multiples of points on elliptic curves and continued fractions.
Adiga C. & Bhargava S. : Inter. J. Math. Ed. Sci. Tech. 14 (1983), 652-654. cxvii
A simple proof for finite double series representations for the Bernoulli, Euler and tangent numbers.
Adiga C. & Berndt B. C. & Bhargava S. & Watson G. N. : Mem. A. M S. 53 (1985) ,No. 315, January, 85pp. O
Chapter 16 of Ramanujan´s second notebook : Theta functions and q-series.
Adiga C. & Somashekara D. D. : Math. Balkanica (N.S.) 12 (1998), No.1-2, 37-45. cxxxiv
On some Rogers-Ramanujan type continued fraction identities.
Adler I. : J. of Algebra 205 (1998), No.1, 227-243. cxlviii
The role of continued fractions in phyllotaxis.
Aebischer B. Math. Zeitsch. 205 (1990), No.1, 49-59.xcviii
The limiting behavior of sequences of Mobius transformations.
Agarwal A. K. : J. Number Theory 28 No.3 (1988), 299-305. xvi
Rogers-Ramanujan identities for n-color partitions.
Agarwal A. K. : Proc. Amer. Math. Soc. 107 (1989), 561-567. lxxv / cxiv
New combinatorial interpretations of two analytic identities.
Agarwal A. K. : Canad. Math. Bull. 32 (1989), 327-332. cxx
Bijective proofs of some n-color partition identities.
Agarwal A. K. : Discrete Appl. Math. 34 (1991), 17-26. l-3
q-functional equations and some partition identities.
Agarwal A. K. & Andrews G. E. : J. Ramanujan Math. Soc. 1 (1986), No.1-2, 16-45. O
On Asai´s polynomials related to the twisting operators of finite classical groups.
Agarwal A. K. & Andrews G. E. : J. Combinatorial Theory Ser. A 45 (1987), No.1, 40-49. liv
Rogers-Ramanujan identites for partitions with " N copies of N, ".
Agarwal A. K. & Andrews G. E. & Bressoud D. M. : J. Indian Math. Soc. 51 (1987), 57-73. cix
The Bailey lattice.
Agarwal A.K. & Berndt B.C. & Krattenthaler C.F. & Mullen G.L. & Ramachandra K. & Waldschmidt M. (Eds.). 2002
Number Theory and Discrete Mathematics. Inter. Conf. In Honour of S. Ramanujan October 2002. Hindustan Book Agency.
Agarwal A. K. & Bressoud D. M. : Pacific J. Math. 136 (1989), No.2,
209-228. lxxviii
Lattice paths and multiple basic hypergeometric series.
Agarwal A. K. & Kalnins E. G. & Miller W. : SIAM J. Math. Anal. 18 (1987), 1519-1538. cxxx
Canonical equations and symmetry techniques for q-series.
Agarwal A. K. & Mullen G. L. : J. Combin. Theory 48 (1988), 120-135. cxxi
Partitions with d(a) copies of a.
Agarwal A. K. & Subbarao M. V. : Canad. Math. Bull. (2) 31 (1988), 210-214. lvi
Further theorems of the Rogers-Ramanujan type theorems.
Agarwal A. K. & Subbarao M. V. : Indian J. Pure & Appl. Math. 22 (1991), No.9, 737-743. cv-3
Some properties of perfect partitions.
Agarwal N. : Ganita 7 (1956), 139-143. lxxvii
Extensions of certain results on partial sums of series of hypergeometric type.
Agarwal R. P. : Ann. Soc. Sci. Bruxelles 64 (1950), 164-168. cviii
Sur une generalisation de la transformation de Hankel.
Agarwal R. P. : Ganita 11 (1950), 17-25. cxxii
On self-reciprocal functions involving two complex variables.
Agarwal R. P. : Bull. Calcuta Math. Soc. 43 (1951), 153-167. cviii
Some properties of the generalised Hankel transformation.
Agarwal R. P. : Ann. Soc. Sci. Bruxelles 67 (1953), 186-202. lxi
Some basic hypergeometric identities.
Agarwal R. P. : Quart. J. Math. (Oxford) (2) 4 (1953), 161-167. lxvi
On integral analogues of certain transformations of well-poised hypergeometric series.
Agarwal R. P. : Proc. Glasgow Math. Assoc. 1 (1953), 182-184. lxvii
Associated basic hypergeometric series.
Agarwal R. P. : Proc. Amer. Math. Soc. 4 (1953), 678-685. lxviii
Some transformations of well-poised basic hypergeometric series of the type 8phi7.
Agarwal R. P. : Proc. Cambridge Phil. Soc. 49 (1953), 441-445. lxviii
On the partial sums of series of hypergeometric type.
Agarwal R. P. : J. London Math. Soc. 34 (1959), 37-46. lxviii
Certain basic hypergeometric identities of the Cayley-Orr type.
Agarwal R. P. : Proc. Cambridege Philos. Soc. 63 (1967), 727-734. lxxvii
Generalized basic hypergeometric series with unconnected bases.
Agarwal R. P. : Quart. J. Math (Oxford) (2) 18 (1967), 181-192. lxxiv
Generalized basic hypergeometric series with unconnected bases. II
Agarwal R. P. : Quart. J. Math. (Oxford) (2) 20 (1969), 121-128. lxvi
Certain basic hypergeometric identities associated with mock theta functions.
Agarwal R. P. : Proc. Cambridge Phil. Soc. 66 (1969), 365-370. lxviii
Certain fractional q-integrals and q-derivatives.
Agarwal R. P. : Quart.J. Math. (Oxford) (2) 21 (1970), 384. lxxiv
Corrigenda " Generalized... II ".
Agarwal R. P. : Math. Student 40 (1972), 389-391. lxxvii
On partial sums of series of hypergeometric type.
Agarwal R. P. : Indian J. Pure & Appl. Math. 4 (1974), 791-801. l-4
Certain basic integral operators and hypergeometric transformations.
Agarwal R. P. : Indian J. Pure Appl. Math. 12 (1981), 728-737. l-4
A family of basic hypergeometric and combinatorial identities and certain summation formulae.
Agarwal R. P. : Indian J. Pure Appl. Math. 14 (1983), 944-954. tf1
Certain three term relations between partial theta functions and summation formulae.
Agarwal R. P. : Adv. Math. 53 (1984), 291-300. xliii3
On the paper " A 'Lost' notebook of Ramanujan.
Agarwal R. P. : Mathematics Student 53 (1985), No.1-4, 135-150, (1987). xix
Some recent works on Ramanujan- an overview.
Agarwal R. P. : Proc. Nat. Symp. Special Functions & Appl. , Gorakhpur 1986, 1-13. O
Special functions and their applications , key note address.
Agarwal R. P. : Math. Student 58 (1991), 121-150. xxxiv
Ramanujan´s last gift.
Agarwal R. P. : J. Math. Phys. Sci. 26 (1992), No.3, 281-290. xxxiv2
Padé approximants, continued fractions and Heine´s q-hypergeometric series.
Agarwal R. P. : Proc. Indian Acad. Sci. (Math. Sci.) 103 (1993), No.3, 269-293.xliii2
Lambert series and Ramanujan.
Agarwal R. P. : Proc. Nat. Acad. Sci. India Sect. A 63 (1993), No.3, 439-490. xci
Analytical generalisations of Rogers-Ramanujan identities.
Agarwal R. P. : J. Math. Phys. Sci. 28 (1994), No.3, 119-132. xxxiv2
Padé approximants, continued fractions and Heine´s q-hypergeometric series. II.
Agarwal R. P. : Proc. Indian Acad. Sci. 64 (1994), 95-107. cv
Mock theta functions - an analytical point of view.
Agarwal R. P. : Toils and Triumphs of Srinivasa Ramanujan, W. H. Abdi (Ed.), 1996, 265-283. O
Ramanujan and Theta Functions.
Agarwal R. P. : Ganita 47 (1996), ???-???. cv
A note on the Laplace transform of the beta function B(x,a).
Agarwal R. P. : J. Indian Math. Soc. (N.S.) 62 (1996), No.1-4, 283-291. cv-3
On the summation of certain double series.
Agarwal R. P. : New Age International Publ. New Delhi, 1999. O
Resonance of Ramanujan´s Mathematics. Volume III.
Agarwal R. P. & Verma A. : Proc. Cambridge Phil. Soc. 63 (1967), 727-734. lxviii
Generalized basic hypergeometric series with unconected bases.
Agarwal R. P. & Verma A. : Quart. J. Math. (Oxford) (2) 18 (1967), 181-192. lxvi
Generalized basic hypergeometric seires with unconnected bases II.
Agnew R. P. : Amer. J. Math. 54 (1932), 648-656. cxxiv
On summability of double sequences.
Agnew R. P. : Tôhoku Math. J. 35 (1932), 244-252. cxxv
On equivalence of methods of evaluation of sequences.
Agnew R. P. : Amer. J. Math. 56 (1934), 62-68. cxxiv
On summability of multiple sequences.
Ahirrao B.R. & More S.V. : Ramanujan Inter. Symp. Anal., Pune 1987, ed. Thakare, Macmillan (1989), 397-409. O
Some Abelian theorems of distribution Hardy transformation.
Ahlbrandt C. : SIAM J. Math. Anal. 24 (1993), No.6, 1597-1621. c / cxviii
Continued fractions representations of maximal and minimal solutions of a discrete matrix Riccati equation.
Ahlbrandt C. D. : J. Approx. Theory 84 (1996), No.2, (Feb.), 188-196. ci / cxix
A Pincherle theorem for matrix continued fractions.
Ahlgren S. : : Indag. Math. (N. S.) 10 (1999), 173-181. #158 / #164
Distribution of parity of the partition function in artihmetic progressions.
Ahlgren S. : Proc. Amer. Math. Soc. 128 (2000), No.5, 1333-1338. #166
The sixth, eigth, ninth and tenth powers of Ramanujan´s theta functions.
Ahlgren S. : Journal of Number Theory 89 (2001), No.2, August, 222-233. m-01
Multiplicative Relations in Powers of Euler's Product.
Ahlgren S. & English L. & Winters R. : Amer. Math. Monthly 104 (1997), No.10, 964-967. #154
An amusing representation of x / sin x.
Alhgren S. & Ono K. : J. Reine Angew. Math. 518 (2000), 187-212. #164
A Gaussian hypergeometric series and Apery number congruences.
Aitken A. C. : Proc. Royal Soc. Edinburgh. Ser. A 46 (1926), 289-305. xlvii2
On Bernoulli´s numerical solution of algebraic equations.
Aitken : Eds. : Proc. Edinburgh Math. Soc. (2) part. 2 16 (1968), 151-176. lxvii
Obituary of A. C. Aitken.
Aiyangar A. A. Krishnaswami : J. Indian Math. Soc. 18 (1929-1930), 214-217. #153
Partial solution to question 784.
Aiyangar A. A. Krishnaswami : J. Indian Math. Soc. 18 (1929-1930), 224. #153
Question 1567.
Aiyangar A. A. Krishnaswami : J. Indian Math. Soc. 18 (1929-1930), 278-285. #153
Some arithmetical identities.
Aiyar M. V. : J. Indian Math. Soc. 18 (1929/1930), 46-50. lxviii
On some elliptic function series.
Aiyar P. V. Seshu : J. Indian Math. Soc. 12 (1920), 81-86. xxxiv2
The Late Mr. Srinivasa Ramanujan, B.A., F.R.S.
Aiyar P.V. Sesshu & Rao R. Ramachandra : Collected Papers of S. Ramanujan , Chelsea,(1962), xi-xix. O
Srinivasa Ramanujan (1887-1920).
Aiyar S. Narayana : J. Indian Math. Soc. 5 (1913), 60-61. xxxiv2
Mr. S. Ramanujan´s theorems on prime numbers.
Aiyar S. Narayana : J. Indian Math. Soc. 5 (1913), 183-186. xxxiv2
Some theorems in summation.
Akhiezer N. I. : American Mathematical Society 1990-1999. O
Elements of the Theory of Elliptic Functions.
Akiyama S. : J. Number Theory 36 (1990), 328-331. lxxxvii / cxviii
Lehmer numbers and an saymptotic formula for Pi.
Akiyama S. & Tanigawa Y. : The Ramanujan Journal 5 (2001), No.4, December, 327-351. O
Multiple Zeta Values at Non-Positive Integers.
Alaogh L. & Erdös P. : Trans. Amer. Math. Soc. 56 (1944), 448-469. #158
On highly composite and similar numbers.
Al-Bassam M. A. : Ramanujan Inter. Symp. on Anal., Pune 1987, ed. N.K. Thakare, Macmillan (1988), 241-275. O
On applications of fractional calculus to differential equations of special functions.
Alder H. L. : Bull. Amer. Math. Soc. 54 (1948), 712-722. cxxii
The nonexistence of certain identities in the theory of partitions and compositions.
Alder H. L. : Pacific J. Math. 4 (1954), 161-168. viii
Generalizations of the Rogers-Ramanujan identities.
Alder H. L. : Amer. Math. Monthly 76 (1969), 733-746. cvi
Partitions identities - from Euler to the present.
Alexits G. : 1961 Pergamon Press. O
Convergence Problems of Orthogonal Series.
Alladi K. : Number Theory Ooctacamund, Indai (1984), (ed.): K. Alladi, Lect. Notes Math. 1122 (1985), 1-37. O
A study of the moments of additive functions using Laplace transforms and sieve methods.
Alladi K. : Number Theory, Madras (1987), (ed.): K. Alladi, Lect. Notes Math. 1395 (1989), 21-63. O
The distribution of additive functions in special sets of integers.
Alladi K. : J. Combin. Theory Ser. A 65 (1994), No.2, 214-245. xiv
On the modified convergence of some continued fractions of the Rogers-Ramanujan type.
Alladi K. : Trans. Amer. Math. Soc. 347 (1995), No.3, 897-914. cii / cxix
Some new observations on the Gollnitz-Gordon and Rogers-Ramanujan identities.
Alladi K. : Amer. Math. Monthly 103 (1996), No.8, 708-713. O
Reviews : Ramanujan: Letters and Commentary, by B.C. Berndt & R.A. Rankin.
Alladi K. : J. Comput. & Appl. Math. 68 (1996), No.1-2, 3-13. #161
The quintuple product identity and shifted partition functions.
Alladi K. : Special Functions, q-Series... M.E.H. Ismail..., (Eds.), A.M.S. 1997, 1-35. O
Refinements of Rogers-Ramanujan Type Identities.
Alladi K. : Trans. Amer. Math. Soc. 349 (1997), No.12, 5001-5019. cxvi
Partition identities involving gaps and weights.
Alladi K. : Trans. Amer. Math. Soc. 349 (1997), 2721-2735. cxvi
A combinatorial correspondence related to Göllnitz´(Big) partition theorem and applications.
Alladi K. : The Ramanujan Journal 2 (1998), No.1/2, 21-37. O
Partition Identities Involving Graps and Weights, II.
Alladi K. : J. Number Theory 69 (1998), 153-180. #159
On a problem theortem of Göllnitz and quadratic transformations.
Alladi K. & Andrews G. E. & Gordon B. : J. Reine Angew. Math. 460 (1995), 165-188. cxvi
Generalizations and refinaments of a partition theorem of Göllnitz.
Alladi K. & Andrews G. E. & Gordon B. : J. of Algebra 174 (1995), 636-658. cxvi
Refinements and generalizations of Capparelli´s conjecture on partitions.
Alladi K. & Erdös P. & Hoggatt V. E. Jr. : Discrete Math. 23 (1978), 201-221. cv-2
On additive partitions of integers.
Alladi K. & Gordon B. : J. Combin. Theory Ser. A 63 (1993), No.2, 275-300. xiii
Partitions identities and a continued fraction of Ramamujan.
Alladi K. & Gordon B. : Manuscripta Math. 79 (1993), No.2, 113-126. xcviii
Generalizations of Schur´s partition theorem.
Alladi K. & Gordon B. : The Rademacher Legacy to Math, Contemporary Math. A.M.S. 166 (1994), 129-139. O
Vanishing coefficients in the expansion of products of Rogers-Ramanujan type.
Alladi K. & Gordon B. : Trans. Amer. Math. Soc. 347 (1995), 1591-1608. cxvi
Schur´s partition theorem, companions, refinements and generalizations.
Alladi K. & Robinson M. L. : J. Reine Angew. Math. 318 (1980), 137-155. #175
Legendre polynomials and irrationality.
Allen E. J. : Math. Gaz. 69 (1985), 261-263. lv
Continued radicals.
Allouche H. & Cuyt A. : Numerical Algorithms 6 (1994), No.1-2, 137-168. xcviii
Singular rules for a multivariate quotient-difference algorithm.
Allouche J. P. : C. R. Acad. Sci. Paris Ser I. Math. 307 (1988), No.12, 631-633. xxv
Sur le developpement en fraction continue de certaines series formalles.
Allouche J.P. & Davison J.L. & Queffelec M. & Zamboni L.Q. : J. of Number. Theory 91 (2001), No.1, Novermber, 39-66. m-01
Transcendence of Sturmian or Morphic Continued Fractions.
Allouche J.P. & Mendès-France M. & Vander Poorten A.J.: Acta Arith. 59 (1991), No.2, 171-182.xxii
An infinite product with bounded partial quotients.
Almkvist G. : The Fibonacci Quarterly 24 (1986), No.4, 316-322. O
A Solution to a Tantalizing Problem.
Almkvist G. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 211-233. O
Wilf´s conjecture and a generalization.
Almkvist G. : Amer. Math. Monthly 104 (1997), No.4, 351-353. lxxxvii / cxvi
Many correct digits of Pi, Revisited.
Almkvist G. : Experimental Math. 7 (1998), No.4, 343-359. F.ps
Asypmtotic Formulas and Generalized Dedekind Sums.
Almkvist G. & Andrews G. E. : J. Number Theory 38 (1991), No.2, 135-144. xvi
A Hardy-Ramanujan formula for restricted partitions.
Almkvist G. & Berndt B. C. : Amer. Math. Monthly 95 (1988), No.7, 585-608. O
Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, Pi, and the Ladies Diary.
Almkvist G. & Granville A. : Experimental Math. 8 (1999), No.2, 197-203. .F.ps
Borwein and Bradley´s Apéry-Like Formulae for zeta(4n + 3).
Almkvist G. & Wilf H. S. : J. Number Theory 50 (1995), No.2, 329-334. cii / cxx
On the coefficients in the Hardy-Ramanujan-Rademacher formula for p(n).
Almkvist G. & Zeilberger D. : J. Symbolic Computation 10 (1990), 571-591. #172
The method of differentiating under the integral sign.
Alniacik K. : Acta Arith. 55 (1990), No.4, 301-310. xxiv
Representation of real numbers as sums of U(2)- numbers.
Al-Salam W. A. : Pacific J. Math. 26 (1959), 519-539. cxlii
Some functions related to Bessel polynomials.
Al-Salam W. A. & Fields J. L. : SIAM Review 28 (1986), 576-578. #172
An identity for double hypergeometric series. (Problem 85-24 proposed by H. M. Srivastava.).
Al-Salam W. A. & Ismail M. E. H. : Pacific J. Math. 104 (1983), 269-283. iii
Orthogonal polynomials associated with the Rogers-Ramanujan continued fraction.
Al-Salam W. A. & Ismail M. E. H. : Pacific J. Math. 135 (1988), 209-221. cxxv
q-beta integrals and q-Hermite polynomials.
Al-Salam W. A. & Verma A. : Proc. Amer. Math. Soc. 85 (1982), 360-362. cxxiv
Some remarks on q-beta integrals.
Al-Salam W. A. & Verma A. : SIAM J. Math. Anal. 15 (1984), 414-420. lxxiii / lxxxi1
On quadratic transformations of basic series.
Álvarez de Morales M. & Pérez T.E. & Piñar M.A. & Ronveaux A. : C. F. V, 96, LNPAM 199 (1998), 343-358. O
Orthogonal polynomials associated with a nondiagonal Sobolev inner product with polynomial coefficients.
Alzer H. : J. Number Theory 68 (1998), No.1, 57-62. cxlvii
On rational approximation to e.
Amoretti E. : Nouv. Ann. Math. 14 (1855), 40-44. xxv
Sur la fraction continue 1 / 1+ 1 / 2+ 1 / 3+ 1 / 4+ ...
Amoroso F. : The Ramanujan Journal 1 (1997), No.4, 357-362. O
A Remark on a Theorem of Szegö.
Amoroso F. & David S. : The Ramanujan Journal 5 (2001), No.3, September, 237-246. O
Densité des Points à Coordonnées Multiplicativement Indépendances.
AMS Staf (Eds.) : 1997-1998 AMS. O
Reviews in Number Theory 1984-1996, Volume 1 B : Chapters A-C.
AMS Staf (Eds.) : 1997-1998 AMS. O
Reviews in Number Theory 1984-1996, Volume 2 B : Chapters D-G.
AMS Staf (Eds.) : 1997-1998 AMS. O
Reviews in Number Theory 1984-1996, Volume 3 B : Chapter H-K.
AMS Staf (Eds.) : 1997-1998 AMS. O
Reviews in Number Theory 1984-1996, Volume 4 B : Chapter L-Q.
AMS Staf (Eds. ) : 1997-1998 AMS. O
Reviews in Number Theory 1984-1996, Volume 5 B : Chapter R-Y.
AMS Staf (Eds.) : 1997-1998 AMS. O
Reviews in Number Theory 1984-1996, Volume 6 B : Chapter Z.
Amulya Kummar Bag : Indian J. of History of Sci. 1 (1966), 98-106. xci
Trigonametrical series in the Karanapaddhati and the probable date of the text.
Ananda Rau K. : Proc. London Math. Soc. (2) 34 (1932), 414-440. xxi
On the convergence and summability of Dirichlet´s series.
Anastassiadis J. : 1964 Gauthier Villars. O
Définition des fonctions Eulériennes par des equations fonctionelles.
Anderson D. R. & Apostol T. M. : Duke Math. J. 20 (1953), 211-216. #160
The evaluation of Ramanujan´s sum and generalizations.
Anderson E. S. : Math. Scand. 1 (1953), 261-262. cviii
Two summation formulae for product sums of binomial coefficients.
Anderson G. W. : C. R. Acad. Sci. Paris Ser. I. 311 (1990), 469-472. cxxxvi
The evaluation of Selberg sums.
Anderson G. W. : Forum Mathematicum 3 (1991), 415-417. cxxxvi
A short proof of Selberg´s generalized beta formula.
Anderson G.M. & Qiu S.L. & Vamanamurthy M.K. & Vuorinen M. : Pacific J. Math. 192 (2000), 1-37. #160
Generalized Elliptic integrals and modular equations.
Anderson G.M. & Qiu S.L. & Vuorinen M. : J. Math. Anal. & Appl. 215 (1997), 212-234. #171
Precise estimates for Differences of the Gaussian hypergeometric
functions.
Anderson P. G. & Brown T. C. & Shiue P. : Proc. Amer. Math. Soc. 123 (1995), No.7, 2005-2009. xv
A simple proof of a remarkable continued fraction.
Andoyer H. : Bull. Sci. Math. (2) 43 (1908), 207-221. xxv
Sur une classe des fractions continues.
Andrade E. X. L. de & Dimitrov D. K. : RC O.F., M.T. & C.F. V, Brazil 1996, Dekker LNPAM 199 (1998), 1-14. O
Chebyshev-Laurent polynomials and weighted approximation.
Andrea S. A. & Berry T. G. : Linear Algebra & Appl. 161 (1992), 117-134. c / cxvii
Continued fractions and periodic Jacobi matrices.
André-Jeannin R. : C. R. Acad. Sci. Paris Ser. I Math. 308 (1989), 539-541. #163
Irrationalité de la Somme des Inverses de Certaines Suites Récurrentes.
André-Jeannin R. : The Fibonacci Quarterly 28 (1990), No.3, 223-226. O
Lambert Series and the Summation of Reciprocals in certain Fibonacci-Lucas-type Sequences.
Andrews G. E. : Proc. Amer. Math. Soc. 16 (1965), 333-334. lxx
A simple proof of Jacobi´s triple product identity.
Andrews G. E. : Amer. J. Math. 88 (1966), 454-490. xxi
On the theorems of Watson and Dragonette for Ramanujan´s mock theta functions.
Andrews G. E. : Amer. J. Math. 88 (1966), 844-846. lxix
An analyitc proof of the Rogers-Ramanujan Gordon identities.
Andrews G. E. : Quart. J. Math. (Oxford) (2) 17 (1966), 64-80. lxxiii
On basic hypergeometric series, mock theta functions, and partitions (i).
Andrews G. E. : Quart. J. Math. (Oxford) (2) 17 (1966), 132-143. lxxiv
On basic hypergeometric seires, mock theta functions and partitions (ii).
Andrews G. E. : Duke Math. J. 33 (1966), 575-582. lxxxiii
q-identities of Auluck, Carlitz and Rogers.
Andrews G. E. : Michigan J. Math. 13 (1966), 491-498. cvi
On generalizations of Euler´s partition theorem.
Andrews G. E. : J. Combin. Theory 3 (1967), 100-101. cvi
A generalization of a partition theorem of MacMahon.
Andrews G. E. : Glasgow Math. J. 8 (1967), 33-40. cvi
Enumerative proofs of certain q.identities.
Andrews G. E. : J. Combin Theory 2 (1967), 422-430. cvi
Partitions theorems related to the Rogers-Ramanujan identities.
Andrews G. E. : J. Combin Theory 2 (1967), 431-436. cvi
Some new partition theorems.
Andrews G. E. : Glasgow Math. J. 9 (1967), 127-132. cvi
On Schur ´s second partition theorem.
Andrews G. E. : Proc. Amer. Math. Soc. 18 (1967), 945-952. xcvi / ciii
A generalization of the Göllnitz-Gordon partition theorems.
Andrews G. E. : Quart. J. Math. 19 (1968), 433-447. xxxii
On q-difference equations for certain well-poised basic hypergeometric series.
Andrews G. E. : Acta Arithmetica 14 (1968), 429-434. cviii
A new generalization of Schur´s second partition theorem.
Andrews G. E. : Proc. Amer. Math. Soc. 19 (1968), 441-444. cxxii
On partition functions related to Schur´s second partition theorem.
Andrews G. E. : Proc. Amer. Math. Soc. 22 (1969), 552-553. liv
On Ramanujan´s summation of 1psi 1 (a; b; z).
Andrews G. E. : J. Combin. Theory 7 (1969), 262-263. cvi
Some new partition theorems. II.
Andrews G. E. : Amer. Math. Monthly 76 (1969), 66-68. cvi
On radix representation and the Euclidean algorithm.
Andrews G. E. : Proc. Amer. Math. Soc. 20 (1969), 499-502. cvi
Two theorems of Euler and a general partition theorem.
Andrews G. E. : Amer. J. Math. 91 (1969), 18-24. cviii
A general partition theorem with difference conditions.
Andrews G. E. : J. Reine Angew. Math. 236 (1969), 37-42. cxvi
On a partition theorem of Göllnitz and related formulae.
Andrews G. E. : Pacific J. Math. 31 (1969), 555-562. cviii
On a calculus of partition functions.
Andrews G. E. : Trans- Amer. Math. Soc. 145 (1969), 205-221. cxxi
A generalisation of the classical partition theorems.
Andrews G. E. : Proc. Amer. Math. Soc. 25 (1970), 554-558. liv
On a transformation of bilateral series with applications.
Andrews G. E. : Scripta Math. 28 (1970), 297-305. lxviii
A polynomial identity which implies the Rogers-Ramanujan identities.
Andrews G. E. : Glasgow Math. J. 11 (1970), 108-109. cvi
Note on a partition theorem.
Andrews G. E. : J. London Math. Soc. 82) 2 (1970), 571-576. cvi
On a partition problem of J. J. Sylvester.
Andrews G. E. : J. Combin. Theory 10 (1971), 266-270. lxxiv
A new property of partitions with applications to the Rogers-Ramanujan identities.
Andrews G. E. : J. London Math. Soc. (2) 3 (1971), 563-570. cvi
Generalization of the Durfee square.
Andrews G. E. : Studies in Appl. Math. 50 (1971), 345-375. cxxviii
On the foundation of combinatorial theory V : Eulerian differential operators.
Andrews G. E. : Adv. Math. 9 (1972), 10-51. lvii
Partition identities.
Andrews G. E. : J. London Math. Soc (2) 4 (1972), 618-622. lxvi
Summations and transformations for basic Appell series.
Andrews G. E. : Pacific J. Math. 41 (1972), 563-578. lxxxiii
Two theorems of Gauss and allied identities proved arithmetically.
Andrews G. E. : Rocky Mount. J. Math. 2 (1972), 49-56. lxxxv
Lambert series, false theta functions and partitions.
Andrews G. E. : Amer. J. Math. 94 (1972), 1214-1230. #168
Sieves in the theory of partitions.
Andrews G. E. : Illinois J. Math. 16 (1972), 270-275. cxxii
On the Rogers-Ramanujan identities and partial q-difference equations.
Andrews G. E. : The Theory of Arithemtical Functions, Lect. Notes Math. 251, (1972), 1-20. O
Sieves for theorems of Euler, Rogers, and Ramanujan.
Andrews G. E. : Duke Math. J. 40 (1973), 525-528. ??? / cxxviii
On the q-analogue of Kummer´s theorem and applications.
Andrews G. E. : Bull. Amer. Math. Soc. 80 (1974), 1033-1052. lii
A general theory of identities of the Rogers-Ramanujan type.
Andrews G. E. : SIAM Rev. 16 (1974), 441-484. liii
Applications of basic hypergeometric series.
Andrews G. E. : Mem. Amer. Math. Soc. 152. O
On the general Rogers-Ramanujan theorems.
Andrews G. E. : Proc. Nat. Acad. Sci. USA 71 (1974), 4082-4085. lxvii
An analytic generalization of the Rogers-Ramanujan identities for odd moduli.
Andrews G. E. : Memoirs of the Amer. Math. Soc (1974), No.152, 86 pp. O
A general theory of identities of the Rogers-Ramanujan type.
Andrews G. E. : Proc. London Math. Soc. 30 (1975), 330-346. xlvi
On Rogers-Ramanujan type identities related to the modulus 11.
Andrews G. E. : Amer. Math. Monthly 82 (1975), 830-833. cvi
A theorem on reciprocal polynomials with applications to permutations and compositions.
Andrews G. E. : Trans. Amer. Math. Soc. 204 (1975), 40-64. cix
On the Alder polynomials and a new generalisation of the Rogers-Ramanujan identities.
Andrews G. E. : Proc. Amer. Math. Soc. 53 (1975), 240-245. cxxix
Identities in combinatorics. II : A q-analog of the Lagrange inversion.
Andrews G. E. : Houston J. Math. 2 (1976), 289-298. lxvi
On identities implying the Rogers-Ramanujan identities.
Andrews G. E. : SIAM J. Math. Anal. 7 (1976), 332-336. cxxx
On q-analogues of the Watson and Whipple summations.
Andrews G. E. : Inventiones Math. 41 (1977), 91-102. cxxi
Partitions, q-series and the Lusztig-Macdonal-Wall conjectures.
Andrews G. E. : Pacific J. Math. 72 (1977), 283-291. #168
Plane Partitions (II) : The equivalence of the Bender-Knuth and MacMahon Conjectures.
Andrews G. E. : Proc. Nat. Acad. Sci. USA 74 (1997), 426-429. #178
MacMahon's conjecture on symmetric plane partitions.
Andrews G. E. : Amer. Math. Monthly. 86 (1979), 89-108. i
An introduction to Ramanujan´s "lost" notebook.
Andrews G. E. : Austral Math. Soc. Gaz. 6 (1979), 80-89. lxxxix
An incredible formula of Ramanujan.
Andrews G. E. : Proc. Symp. Pure Math. ( D. Ray-Chaudhuri ed. ) Vol. 34 AMS (1979), 1-24. #150
Connection coefficients problems and partitions.
Andrews G. E. : Inventiones Math. 53 (1979), 193-225. #171
Plane Partitions (III) : The Weak Macdonald Conjecture.
Andrews G. E. : SIAM J. Math. Anal. 11 (1980), 787-792. cxx
Notes on the Dyson conjecture.
Andrews G. E. : Adv. Math. 41 (1981), 137-172. iv1
Ramanujan´s "Lost" notebook : I : Partial Theta Functions.
Andrews G. E. : Adv. Math. 41 (1981), 173-185. iii
Ramanujan´s "Lost" notebook : II : Theta -Function Expansions.
Andrews G. E. : Adv. Math. 41 (1981), 186-208. i
Ramanujan´s "Lost" notebook : III : The Rogers-Ramanujan continued fraction.
Andrews G. E. : Proc. Natl. Acad. Sci. USA 78 (1981), 5290-5292. liii
The hard-hexagon model and Rogers-Ramanujan type identities.
Andrews G. E. : Pacific J. Math. 95 (1981), 251-256. lxxviii
The Rogers-Ramanujan reciprocal and Minc´s partition function.
Andrews G. E. : Houston J. Math. 6 (1981), 11-22. lxxxii
Multiple q-series identities.
Andrews G. E. : Lectures Notes in Math. , Springer Vol. 899 (1981), 10-48. cxxvi
Mordell integrals and Ramanujan lost notebook.
Andrews G. E. : Math. Chronicle 11 (1982), 1-15. lii
L. J. Rogers and the Rogers-Ramanujan identities.
Andrews G. E. : Adv. Math. 53 (1984), 55-74. iv1
Ramanujan´s "Lost" notebook : IV : Stacks and alternating parity in partitions.
Andrews G. E. : Pacific J. Math. 114 (1984), 267-283. v
Multiple series Rogers-Ramanujan type identities.
Andrews G. E. : J. Australian Math. Soc. Ser. A : 37 (1984), 17-26. vii
On the Wall Polynomials and L-M-W Conjectures.
Andrews G. E. : Trans. Amer. Math. Soc. 283 (1984), 451-458. lxxxiii
Hecke modular forms and the Kac-Peterson identities.
Andrews G. E. : Memoirs of the Amer. Math. Soc. 49 (1984), No.301, May, 44 pp. O
Generalized Frobenius partitions.
Andrews G. E. : London Math. Soc. Lect. Notes Ser. No. 103 (1985), 1-23 Surveys in Combinatorics, C.U.P.,. cxx
Combinatorics and Ramanujan´s 'Lost Notebook'.
Andrews G. E. : Adv. Math. 61 (1986), 156-164. iv1
Ramanujan´s "Lost" notebook : V : Euler´s partition identity.
Andrews G. E. : Amer. Math. Monthly. 93 (1986), 708-711. f
Questions and conjectures in partition theory.
Andrews G. E. : Trans. Amer. Math. Soc. 293 (1986), 113-134. v
The fifth and seventh order mock theta functions.
Andrews G. E. : J. Number Theory 23 (1986), 285-293. xli / cxi
EUREKA ! num = tri + tri + tri.
Andrews G. E. : Conference Board of the Math. Sci. Regional Confer. Ser. in Math. No. 66 (1986), xii + 130 pp. O
q-series : Their development and application in analysis, number theory, comniatorics, physics, and computer algebra.
Andrews G. E. : Amer. Math. Monthly 94 (1987), No.5, 437-439. O
Further Problems on Partitions.
Andrews G. E. : Amer. Math. Monthly 94 (1987), No.10, 1011. O
Problem 6562 ( Euler´s pentagonal number theorem ).
Andrews G. E. : Rocky Mountain J. Math. 17 (1987), No.4, 659-672. lvi
The Rogers-Ramanujan identities without Jacobi´s triple product.
Andrews G. E. : J. Combin Theory Ser. A 44 (1987), No.2, 267-273. cxxxii
Catalan numbers, q-Catalan numbers and hypergeometric series.
Andrews G. E. : Indian J. Math. 29 (1987), No.2, 117-125. cv
Rogers-Ramanujan identities for two-color partitions.
Andrews G. E. : Aequationes Math. 33 (1987), 230-250. #171
Plane Partitions (IV) : A conjecture of Mills-Robbins-Rumsey.
Andrews G. E. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 47-56. O
Ramanujan´s fifth order mock theta functions as constant terms.
Andrews G. E. : Number Theory, Madras (1987), (ed.): K. Alladi, Lect. Notes Math. 1395 (1989), 64-72. O
An identity of Sylvester and the Rogers-Ramanujan identities.
Andrews G. E. : Ramanujan Inter. Symp. on Analysis, Pune (1987), ed. N. K. Thakare, Macmillan (1989), 85-95. O
A formula of Ramanujan from the lost notebook.
Andrews G. E. : Proc. on q-series & partitions, March 7-11 1988, IMA Vol. 18, Springer (1989), 1-14. O
On the proof of the Rogers-Ramanujan identities.
Andrews G. E. : Proc. Symp. Pure Math. 49 part 2, Theta Function Bowdoin 1987, A.M.S. (1989), 283-298. O
Mock theta functions.
Andrews G. E. : Indian J. Math. 32 (1990), No.3, 207-216. xxii
A page from Ramanujan´s lost notebook.
Andrews G. E. : J. Amer. Math. Soc. 3 (1990), 653-669. lxxxiii
Euler´s " Exemplum memorabile inductionis fallacies " and q-trinomial coefficients.
Andrews G. E. : Progress Math 85 (1990), 1-11, B.C. Berndt (Ed.), Analytic Number Theory (Birkhäuser). civ / cxxix
q-trinomial coefficients and Rogers-Ramanujan type identities.
Andrews G. E. : Séminaire Lotharingien de Combinatoire 25 (1990), B25f, 12pp. F.ps
Three Aspects of Partitions.
Andrews G. E. : Illinois J. Math. 36 (1992), 251-274. xlvii / xli / lxxvi
Bailey chains and generalized Lambert series : I. Four identities of Ramanujan.
Andrews G. E. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 141-154. O
Schur´theorem, Capparelli´s conjecture and q-trinomial coefficients.
Andrews G. E. : Math. Intelligencer 16 (1994), No.4, 16-18. O
The death of proof ? Semi-rigorous mathematics ? You´ve got to be kidding !.
Andrews G. E. : J. Combin. Theory Ser. A 66 (1994), 28-39. #171
Plane Partitions (V) : The t.s.s.c.p.p. conjecture.
Andrews G. E. : J. Symbolic Comput. 20 (1995), 487-501. #174
On a Conjecture of Peter Borwein.
Andrews G. E. : Electronic J. Combinatorics 3 (1996), (2), R21. ejc1
Pfaff´s method (III) : Comparison with the WZ method.
Andrews G. E. : The Ramanujan Journal 1 No.1 (1997), 7-23. O
The Well-Poised Thread : An Organized Chronicle of Some Amazing Summations and Their Implications.
Andrews G. E. : Amer. Math. Monthly 104 (1997), No.10, 918-925. #154
Simplicity and surprise in Ramanujan´s "Lost" notebook.
Andrews G. E. : Séminarie Lotharingien de Combinatoire 42 (1998), B42a, 16pp. F.ps
Some debts I owe.
Andrews G. E. : The Ramanujan Journal 6 (2002), No.1, March, 5-6. O
Preface.
Andrews G. & ?????? : Advances in Appl. Math. 25 (2000), No.1, 2-11. #164
An infinite family of Engel expansions of Roger-Ramanujan type.
Andrews G. E. & Askey R. : Aequationes Math. 18 (1978), 333-337. liii
A simple proof of Ramanujan´s summation of the 1 psi 1.
Andrews G. E. & Askey R. : Proc. Amer. Math. Soc. 81 (1981), 97-100. cxxi
Another q-extension of the beta function.
Andrews G. E. & Askey R. & Berndt B.C. & Ramanathan K.G. & Rankin R.A. (eds.): A. P. 1988, xx + 609pp. O
Ramanujan Revisited, Proc. of the Centenary Conference University of Illinois at Urbana-Champaing June 1-5, 1987.
Andrews G. E. & Baxter R. J. : Amer. Math. Monthly 96 (1989), No.5, 401-409. O
A Motivated Proof of the Rogers-Ramanujan Identities.
Andrews G. E. & Baxter R. J. & Forrester P. J. : J. Stat. Phys. 35 (1984), 193-266. lxii
Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities.
Andrews G. E. & Baxter R. J. & ... : European J. Combinatorics 8 (1987), 341-350. eujc1
Partitions with prescribed hook differences.
Andrews G.E. & Berndt B.C. & Jacobsen L. & Lamphere R.L. : Lect. Notes Math. 1395 (1989), 73-83. O
Variations on the Rogers-Ramanujan continued fraction in Ramanujan´s notebooks.
Andrews G.E. & Berndt B.C. & Jacobsen L. & Lamphere R.L. : Memo. A. M. S. 99 (1992), No.477, Sep., 71 pp. O
The continued fractions found in the unorganized portions of Ramanujan´s notebooks.
Andrews G. E. & Bowman D.: Proc. Amer. Math. Soc. 123 (1995), (No.11 Nov), 3343-3350. xvi
A full extension of the Rogers-Ramanujan continued fraction.
Andrews G. E. & Bressoud D. M. : Discrete Math. 49 (1984), 223-236. cv
Identities in combinatorics III : Further aspects of ordered set sorting.
Andrews G. E. & Burge W. H. : Pacific J. Math. 158 (1993), 1-14. cxxxviii
Determiant identities.
Andrews G. E. & Dyson F. J. & Hickerson D. : Inventiones Math. 91 (1988), 391-407. cxxix
Partitions and indefinite quadratic forms.
Andrews G. E. & Garvan F. G. : Bull. Amer. Math. Soc. 18 (1988), No.2, 167-171. #156
Dyson´s crank of a partition.
Andrews G. E. & Garvan F. G. : Adv. Math. 73 (1989), 242-255. xliii3
Ramanujan´s "Lost" notebooks VI : The mock theta conjectures.
Andrews G. E. & Goulden I. P. & Jackson D. M. : J. Combin Theory Ser. A 43 (1986), 70-84. cxxix
Shak´s convergence acceleration transform, Padé approximants and partitions.
Andrews G. E. & Hickerson D. : Adv. Math. 89 (1991), No.1, 60-105. lvii
Ramanujan´s "Lost" notebooks VII : The six order mock theta functions......
Andrews G. E. & Jackson D. M. : Pacific J. Math. 14 (1990), 207-218. cviii
An algebraically derived q-analog of a character sum associated with a class of semiregular permutations.
Andrews G. E. & Kitaoka Y. : J. Number Theory 34 (1990), No.1, 54-62. cxxxv
A result on q-series and its application to quadratic forms.
Andrews G. E. & Knopfmacher A. & Knopfmacher J. : J. Number Theory 80 (2000), No.2, February, 273-290. #164
Engel expansion and the Rogers-Ramanujan identities.
Andrews G. E. & Lewis R. : J. Number Theory 85 (2000), No.1, November, 74-84. #167
The Ranks and Crank of Partitions moduli 2, 3, and 4.
Andrews G. E. & Olsson J. B. : J. Reine Angew. Math. 413 (1991), 198-212. cxvi
Partition identities with an application to group representation theory.
Andrews G.E. & Paule P. : Séminaire Lotharingien de Combinatoire 42 (1998), B42i, 24pp. F.ps
MacMahon´s Partition Analysis IV : Hypergeometric Multisums.
Andrews G. E. & Plínio O. & Santos J. : The Ramanujan Journal 1 (1997), No.1, 91-99. O
Rogers-Ramanujan Type Identities for Partitions with Attached Odd Parts.
Andrews J.J. & Lacher R.C. : Aequa. Math. 16 (1977), 137-147. liii
Stacked exponents.
Andrews G. E. & Schilling A. & Warnaar S. O. : J. Amer. Math. Soc. 12 (1999), No.3, 677-702. #166
An A2 Bailey lemma and Rogers-Ramanujan type identities.
Angelesko M. A. : C. R. Acad. Sci. Paris Ser. A 168 (1919), 262-265. lxvii
Sur deux extensions des fractions continues algébriques.
Angell D. : Bull. Austral. Math. Soc. 38 (1988), No.1, 67-76. xxv
The limiting behaviour of certain sequences of continued fractions.
Aomoto K. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 591-605. O
Correlation functions of the Selberg integral.
Aomoto K. : Proc. Symp. Pure Math. 49 part 2, Theta Functions Bowdoin 1987, A.M.S. (1989), 279-281. O
On the complex Selberg integral.
Apéry F. : The Math. Intell. 18 No.2 (1996), 54-61. O
Roger Apéry, 1916-1994 : A Radical Mathematician.
Apéry R. : C. R. Acad. Sci. Paris 251 (1960), 1451-1452. #153 / 161
Sur une équation diophantienne.
Apéry R. : Journées Arithétiques Luminy , Astérisque 61 (1979), 11-13. viii
Irrationalité de Zeta(2) et Zeta(3).
Apéry R. : Bull. Section des Sci. Bibliothéque National Paris, Tome III (1981), 37-53. viii
Interpolation des fractions continues et irrationalite de certaines constantes.
Apostal T. M. : Duke Math. J. 17 (1950), 147-157. lxxxiii
Generalized Dedekind sums and transformation formulae of certain Lambert series.
Apostol T. M. : Pacific J. Math. 1 (1951), 161-167. #158
On the Lerch Zeta function.
Apostol T. M. : Proc. Amer. Math. Soc. 5 (1954), 239-243. #168
Some series involving the Riemann zeta function.
Apostol T. M. : Proc. Amer. Math. Soc. 15 (1964), 618-622. #153
A short proof of Shô Iseki´s functional equation.
Apostol T. M. : The Math. Intell. 5 (1983), No.3, 59-60. O
A Proof that Euler Missed : Evaluating zeta(2) that Easy Way.
Apostol T. M. : The Math. Intell. 5 (1983), No.5, 59-60. Pi : A source book, 456-457.
A Proof that Euler Missed : Evaluating zeta(2) that Easy Way.
Apostol T. M. : Amer. Math. Monthly 106 (1999), No.5, 409-419. #154
An elementary view of Euler´s summation formula.
Apostol T.M. & Vu T.H. : J. Number Theory 19 (1984), 85-102. xxxix2 / cx
Dirichlet series related to the Riemann zeta-function.
Appel K. & Hacken W. : Illinois J. Math. 21 (1977), 429-490. cxlii
Every planar map is four colorable I. Discharging.
Appel K. & Hacken W. : Illinois J. Math. 21 (1977), 491-567. cxlii
Every planar map is four colorable II. Reducibility.
Appell P. : Math. Ann. 19 (1882), 84-102. xlvii2
Sur une classe de fonctions analogues aux fonctions Eulériennes.
Appel P. & Lacour E. : 2nd. Ed. 1922 Gauthier Villars. O
Pricciples de la Théorie des Fonctions Elliptiques et Applications.
Aptekarev A. I. & Kalyagin V. A. : Lect. Notes Math. (Rational Approx.), 1237 (1987), 145-160. cxxxi
Analytic proper. of two-dimensional continued P-fraction expans. with periodical coefficients and their P-H Approx.
Arakawa T. : Comment. Math. Univ. St. Pauli 42 (1993), No.1, 81-92. xcvi / cxv
A note on the Hirzebruch sum.
Arenas A. : Manuscripta Math. 57 (1987), 469-475. #157 / #152
On the summation of singular series.
Arenas A. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 1-11. O
On the number of genera of positive-definite integral ternary quadratic forms.
Argyros I. K. : Rev. Acad. Cienc. Zaragoza (2) 42 (1987), 18-23. xcviii
On the solution by series of some nonlinear equations.
Arias de Reyna J. : J. Combin. Theory Ser. B 70 (1997), No.2, 259-264. cxlviii
Finite fields and Ramanujan graphs.
Arkin J. : Amer. Math. Monthly 73 (1966), 1087-1090. xlv
An extension of a theorem of Ramanujan.
Arkin J. : Duke Math. J. 38 (1970), 403-409. ciii
Researches on partitions.
Arndt J. & Haenel Ch. : Translation English, Springer Verlag 2000/2001. O
Pi Unleashed.
Arnold C. : Numer. Algorithms 15 (1997), No.1, 111-134. cxlviii
Formal continued fractions solutions of the generalized second order Riccati equations.
Arnold V. I. : Comm. Pure & Appl. Math. 42 (1989), No.7, 993-1000. ci / cxx
A-graded algebras and continued fractions.
Arnoux P. & Nogueira A. : Ann. Sci. Ecole Norm. Sup. (4) 26 (1993), No.6, 645-664. xcix / cxvii
Mesures de Gauss pour des algorithmes de fractions continues multidimensionnelles.
Arthur J. : Proc. Indian Acad. Sci. (Math. Sci.): Ramanujan B.C.V. 97 (1987), No.1-3, 3-19. O
The Characters of supercuspidal representations as weighted orbital integrals.
Artin E. : B. G. Teubner 1931. O
Die Theorie der Gammafunktion.
Artin E. : Athena Series, Holt, Rinehart and Winston 1964. O
The Gamma Function.
Arwin A. : Annals of Math. (2) 26 (1925), 247-272. lii
On continued fractions in the theory of binary forms.
Arwin A. : J. Reine Angew. Math. 155 (1926), 111-128. lii
Einige periodische kettenbruchentwicklungen.
Arya S. P. : Ganita-Sandesh 1 (1987), No.1-2, 33-40. lxxxi1
Srinivasa Ramanujan : The Mathematician.
Ash J. M. : Amer. Math. Monthly 96 (1989), No. 10, 873-885. O
Unqueness of representation by trigonometric series.
Ash R. B. : Academic Press Inc. New York London 1971. O
Complex Variables.
Askey R. : Tôhoku Math. J. 24 (1972), 109-119. #175
Positive Jacobi polynomial sums.
Askey R. : Trans. Amer. Math. Soc. 179 (1973), 71-84. #176
Summability of Jacobi series.
Askey R. (ed.) : 1975 Academic Press. O
Theory and Applications of Special Functions.
Askey R. : Appl. Anal. 8 (1978), 125-141. liii
The q-gamma and q-beta functions.
Askey R. : Amer. Math. Monthly. 87 (1980), 346-359. iii
Ramanujan´s extensions of the gamma and beta functions.
Askey R. : SIAM J. Math. Anal. 11 (1980), 938-951. cxx
Some basic hypergeometric extension of integrals of Selberg and Andrews.
Askey R. : Quart. J. Math. (Oxford) (2) 32 (1981), 255-266. cxxxii
A q-extension of Cauchy´s form of the beta integral.
Askey R. : Proc. Amer. Math. Soc. 85 (1982), 192-194. lxxxvi / cxiv
Two integrals of Ramanujan.
Askey R. : SIAM J. Math. Anal. 13 (1982), 1008-1010. cxx
A q-beta integral associated with BC.
Askey R. : Proc. Amer. Math. Soc. 90 (1984), 575-579. cxxix
The very well poised 6phi6.
Askey R. : Math. Annalen 268 (1984), 123-126. #153
Remarks on the preceding paper by Gavin Brown and Edwin Hewitt.
Askey R. : Rocky Mount. J. Math. 15 (1985), 311-318. ii
Appendix to " Chapter 12 of Ramanujan´s second notebook : continued fractions".
Askey R. : Rend. del Sem. Mat. de la Univ. Torino (1985), 1-22. cxxxvi
Some problems about special functions and computations.
Askey R. : J. Approx. Theory 46 (1986), 213-216. cxxxii
Limits of some q-Laguerre polynomials.
Askey R. : Amer. Math. Monthly 94 (1987), No.2, 199-201. O
Solution problem Adv. 6497 [ 1985, 362] : q-Analogues of a Gamma Function Identity.
Askey R. : Amer. Math. Monthly 94 (1987), No.10, 1012-1014. O
Problem 6514 [ 1986, 304 ], Solution.
Askey R. : J. Indian Math. Soc. 51 (1987), 27-36. xxxiii
An integral of Ramanujan and orthogonal polynomials.
Askey R. : Indian J. Math. 29 (1987), 101-105. lvi
Ramanujan´s 1psi1 and formal Laurent series.
Askey R. : Number Theory, Madras (1987), (ed.): K. Alladi, Lect. Notes Math. 1395 (1989), 84-121. O
Beta integrals and the associated orthogonal polynomials.
Askey R. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 561-590. O
Beta integrals in Ramanujan´s papers, his unpublished work anf further examples.
Askey R. : Proc. Ramanujan Cent. Inter. Conf., Annamalainagar 1987, Ramanujan Math. Soc. (1988), 85-102. O
Beta integrals and q-extensions.
Askey R. : Number Theory and Related Topics, Bombay (1988), T.I.F.R. - O.U.P. (1989), 1-12. O
Variants of Clausen´s formula for the square of special 2F1.
Askey R. : Proc. on q-series & partitions, March 7-11 1988, IMA Vol. 18, Springer (1989), 151-158. O
Continuous q-Hermite polynomials when q > 1.
Askey R. : Ramanujan Inter. Symposium on Analysis, Pune (1987), ed. N. K. Thakare, Macmillan 1989, 1-83. O
Ramanujan and hypergeometric and basic hypergeometric series.
Askey R. : Proc. Symp. Pure Math. 49 part 2, Theta Function Bowdoin 1987, A.M.S. (1989), 299-321. O
Orthogonal polynomials and theta functions.
Askey R. : Russian Math. Survey 45 (1990), No.1, 37-86. xxxii
S. Ramanujan and Hypergeometric and basic hypergeometric series.
Askey R. : CWI Quarterly 5 (1992), No.4, 251-269. cxxxiv
The world of q.
Askey R. A. : Proc. Indian Acad. Sci. (Math. Sci.) 104 (1994), 237-243. lxii2
Gaussian quadrature in Ramanujan´s second notebook.
Askey R. : Rendiconti di Mat. e delle sue Appl. (Ser. 7) 14 (1994), 135-144. cxxxviii
Finite differences and orthogonal polynomials.
Askey R. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 1-13. O
Continued fractions and orthogonal polynomials.
Askey R. : Séminaire Lotharingien de Combinatoire 42 (1998), B42a. 24pp. F.ps
The Work of George Andrews a Madison Perspective.
Asky R. & Gasper G. : Amer. J. Math. 98 (1976), 709-737. #165
Positive Jacobi polynomials sums II.
Asket R. & Gasper G. & Ismail M. : J. Approx. Theory 13 (1975), 413-420. cxxxvii
A positive sum from summability theory.
Askey R. & Ismail M. E. H. : Proc. Amer. Math. Soc. 77 (1979), 218-222. lxxiv
The very well poised 6phi6.
Askey R. & Ismail M. : Memoirs of the Amer. Math. Soc. 49 (1984), No.300, May, 108 pp. O
Recurrence relations, continued fractions and orthogonal polynomilas.
Askey R. & Ismail M. E. H. & Van Assche W. : Journal of Computational and Applied Math. 133 (2001), No.1-2, 1-11. m-01
Ted Chihara and his work on orthogonal polynomials.
Askey R. & Koornwinder A. N. & Schempp W. (Eds.) : Reidel Publishing. Co. 1984. O
Special Functions : Group Theoretical Aspect and Applications.
Askey R. & Roy R. : Rocky Mount. J. Math. 16 (1986), 365-372. xciv / civ
More q-beta integrals.
Askey R. & Steining J. : Trans. Amer. Math. Soc. 187 (1974), 295-307. cxxxvi
Some positive trigonometric sums.
Askey R. &. Wilson J. : SIAM J. Math. Anal. 13 (1982), 651-655. lxxxv
A set of hypergeometric orthogonal polynomials.
Askey R. & Wilson J. A. : J. Austral. Math. Soc. Ser. A 36 (1984), 267-278. cxxxvii
A recurrente relation generalizing those of Apéry.
Atkin A. O. L. : Glasgow Math. J. : 8 (1967), 14-32. xl
Proof of a conjecture of Ramanujan.
Atkin A. O. L. : Duke Math. J. 34 (1967), 57-58. cxxii
Note on a paper of Cheema and Gordon.
Atkin A. O. L. : Canad. J. Math. 20 (1968), 67-78. #158
Ramanujan congruences for P-k (n).
Atkin A. O. L. : Proc. London Math. Soc. 18 (1968), 563-576. #165
Multiplicative congruence properties of p(n) and c(n) modulo powers of 13.
Atkin A. O. L. : Bull. London Math. Soc. 1 (1969), 191-192. cxix
Note on a paper of Rankin.
Atkin A. O. L. : Proc. London Math. Soc. (3) 18 (1969), 563-576. #149
???.
Atkin A. O. L. & O´Brien J. N. : Tran. Amer. Math. Soc. 126 (1967), 442-459. #158
Some properties of p(n) and c(n) modulo powers of 13.
Atkin A. O. L. & Lehner J. : Math. Annalen 185 (1970), 134-160. #176
Hecke operator on gamma(m).
Atkin A. O. L. & Swinnerton-Dyer P. : Proc. London Math. Soc. (3) 4 (1954), 84-106. lvii
Some properties of partitions.
Atkinson M. D. : Amer. Math. Monthly 93 (1986), No.5, 387-389. Ó
How to compute the series expansions of sec x and tan x.
Auluck F. C. & Chowla S. : J. Indian Math. Soc. (N.S.) 4 (1940), 169-173. #153
Some properties of a function considered by Ramanujan.
Auric A. : J. Math. Pures et Appl. (6) 3 (1907), 105-206. xiii
Recherches sur les fractions continues algébriques.
Auslander L. & Tolimieri R. : Bull. Amer. Math. Soc. (N.S.) 11 (1979), 847-897. cxxxviii
Is computing with finite Fourier transform pure or applied mathematics.
Avakumovic V. G. : Amer. J. Math. 62 (1940), 877-880. #160
Neuer beweis eines satzes von G.H. Hardy and S. Ramanujan über das asymptotische verhalten der zerfällungkoe.
Ayoub R. : Math. Surveys No. 10, 1963 American Mathematical Society. O
An Introduction to the Analytic Theory of Numbres.
Ayoub R. : Amer. Math. Monthly 81 (1974), 1067-1086. xlvii2
Euler and zeta-function.
Ayoub R. : Arch. Hist. Exact. Sci. 29 (1984), 131-149. xl
The lemniscate and Fagnáno´s contributions to elliptic integrals.
Ayoub R. : Amer. Math. Monthly 100 (1993), No.4, 351-364. O
What Is a Napierian Logarithm ?.
Ayyar M. V. & Rao M. B. : J. Indian Math. Soc. (N.S.) 4 (1940), 47-70. #153
Types of solutions of x^3 + y^3 + z^3 = 1 in integers ( I ).
Azevedo Pribitkin W. de : The Ramanujan Journal 4 (2000), No.4, December, 455-467. O
Revisiting Rademacher´s Formula for the Partition Function p(n).
Bach E. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 13-28. O
Improved approxmation for Euler products.
Bach E. & Lukes R. & Shallit J. & Williams H. : Math. of Comp. 65 (1996), 1737-1747. #169
Results and estimates on pseudopowers.
Bachman G. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 29-38. O
On exponential sums with multiplicative coefficients.
Bachman G. : Pacific J. Math. 169 (1995), 219-233. lxxviii
On the convergence of infinite exponentials.
Bachman G. : Proc. Amer. Math. Soc. 125 (1997), No.4, 1001-1003. #151
On an optimality property of Ramanujan sums.
Bachman G. & Rachakonda L. : The Ramanujan Journal 5 (2001), No.1, March, 65-71. O
On a Problem of Dobrowolski and Williams and the Pólya-Vinogradov Inequality.
Backhouse N. : Math. Gazette 79 (1995), 371-374. lxxxii / lxxxiv
Pancake functions and approximations to Pi.
Backlund R. : C. R. Acad. Sci. Paris 158 (1914), 1979-1982. xl
Sur les zéros de la fonction zeta(s) de Riemann.
Badea C. : Studia Univ. Babes-Bolyai Math. 31 (1986), No.3, 3-8. #158
The irrationality of certain infinite products.
Badea C. : Glasgow Math. J. 29 (1987), 221-228. cvi / #152
The irrationality of certain infinite series.
Badea C. : Acta Arithm. 63 (1993), No.4, 313-323. #159
A theorem on irrationalatity of infinite series and applications.
Baernstein A. et... (eds.) : Amer. Math. Soc. 1986. O
The Bieberbach Conjecture, Proceedings Symposia. Occasion of Proof.
Baez-Duarte L. : Advances in Math. 125 (1997), No.1, 114-120. #150
Hardy-Ramanujan´s asymptotic formula for partitions and the central limit theorem.
Baez-Duarte L. & Balazard M. : Advances in Mathematics 149 (2000), No.1, January 15, 130-144. m-01
Notes sur la fonction de Riemann, 3.
Bagemihl F. & McLaughlin J. R. : J. Reine Angew. Math. 221 (1966), 146-148. cxxxvii
Generalization of some classical theorems concerning triples of consecutive convergents to simple continued fractions.
Bailey D. : Math. Comp. 50 (1988), 275-281. xx / cxii
Numerical results on the transcendence of constants involving pi, e, and Euler´s constant.
Bailey D. H. : Math. Comput. 50 (1980), No.181, 283-296. Pi : A source book, 562-575.
The computation of Pi to 29,3600,000 decimal digits using Borwein´s quadratically convergent algorithm.
Bailey D.H. & Borwewin J.M. : B. Engquist & W. Schmid : Math. Unlimited 2001 & Beyond, Springer 2001.51-66. O
Experimental Mathematics : Recent Developments and Future Outlook.
Bailey D.H. & Borwein J.M. & Borwein P.M. & Plouffe S.: Math. Intell. 19 (1997), No.1, 50-57. O
The Quest for Pi.
Bailey D. & Borwein J. & Crandall R. : Mathematics of Comput. 66 (1997) 417-431. #174
On the Khintchine constant.
Bailey D.H. & Borwein J.M. & Girgenson R. : Experimental Math. 3 (1994), No.1, 17-30. l / cxxx / F.ps
Experimental Evaluation of Euler Sums.
Bailey D.H. & Borwein P. & Plouffe S. : Math. Comput. 66 (1997), No.218, 903-913. cxiv
On the rapid computation of various polylogarithmic constants.
Bailey D.H. & Borwein P. & Plouffe S. : Math. Comput 66 (1997), No.218, 903-913, Pi : A source book, 663-676.
On the rapid computation of varius polylogarithmic constants.
Bailey D. H. & Ferguson H. R. P. : Math. of Comput. 53 (1989), 649-656. cxlv
Numerical results on relations between numerical constants using a new algorithm.
Bailey W. N. : Proc. London Math. Soc. (2) 28 (1928), 242-254. xlix
Products of generalized hypergeometric series.
Bailey W. N. : Proc. London Math. Soc. (2) 29 (1929), 495-502. lxv
Transformations of generalized hypergeometric series.
Bailey W. N. : Proc. London Math. Soc. (2) 29 (1929), 503-516. lxv
Some identities involving generalized hypergeometric series.
Bailey W. N. : J. London Math. Soc. 4 (1929), 254-257. lxi
An identity involving Heine´s basic hypergeometric series.
Bailey W. N. : J. London Math. Soc. 5 (1930), 92-95. cviii
On a function which is its own reciprocal in the Fourier-Bessel integral transformation.
Bailey W. N. : J. London Math. Soc. 5 (1930), 200-202.xlv
A generalization of an integral due to Ramanujan.
Bailey W. N. : J. London Math. Soc. 5 (1930), 258-265. cviii
Some classes of functions which are their own reciprocals in the Fourier-Bessel integral transformation.
Bailey W. N. : Proc. London ath. Soc. (2) 31 (1930), 505-511. lxv
An extension of Whipple´s theorem on well-poised hypergeometric series.
Bailey W. N. : J. London Math. Soc. 6 (1931), 40-41. xlii
The partial sum of the coefficients of the hypergeometric series.
Bailey W. N. : J. London Math. Soc. 6 (1931), 216-217. xlv
A note on an integral due to Ramanujan.
Bailey W. N. : J. London Math. Soc. 6 (1931), 242-247. cix
On the solution of some integral equations.
Bailey W. N. : Math. Gazette 15 (1931), 299-300. cxlii
An elementary proof of Saalschutz´s theorem on generalized hypergeometric series.
Bailey W. N. : J. London Math. Soc. 7 (1932), 34-36. xlv
On one of Ramanujan´s theorems.
Bailey W. N. : J. London Math. Soc. 7 (1932), 82-87. cix
Relations between some definite integrals involving self-reciprocal functions.
Bailey W. N. : Quart. J. Math. Oxford Ser. 3 (1932), 168-182. lxv
Some transformations of generalized hypergeometric series, and contour integrals of Barnes´s type.
Bailey W. N. : J. London Math. Soc. 8 (1933), 100-107. lxi
On certain relation between hypergeometric series of higher order.
Bailey W. N. : Quart. J. Math (Oxford) 4 (1933), 305-308. lxxii
A reducible case of the fourth type of Appell´s hypergeometric functions of two variables.
Bailey W. N. : Proc. London Math. Soc. (2) 36 (1934), 235-240. lxv
Transformations of well-poised hypergeometric series.
Bailey W. N. : Quart. J. Math. (Oxford) 5 (1934), 291-292. cxli
On the reducibility of Appell´s function F4.
Bailey W. N. : Proc. London Math. Soc. (2) 38 (1935), 377-384. xlix
Some theorems concerning products of hypergeometric series.
Bailey W. N. : Quart. J. Math. (Oxford) 6 (1935), 233-???. cxli
Some expansions in Bessel functions involving Appell´s function F4.
Bailey W. N. : Quart. J. Math. (Oxford) 7 (1936), 105-115. lxxii
Series of hypergeometric type which are infinite in both directions.
Bailey W. N. : J. London Math. Soc. 11 (1936), 156-160. cxxvi
An algebraic identity.
Bailey W. N. : J. London Math. Soc. 11 (1936), 286-289. cxxvi
Some identities connected with representations of numbers.
Bailey W. N. : Quart. J. Math. (Oxford) 8 (1937), 113-114. cxli
A new proof of Dixon´s theorem on hypergeometric series.
Bailey W. N. : Quart. J. Math. (Oxford) 8 (1937), 115-118. cxli
Associated hypergeometric series.
Bailey W. N. : J. London Math. Soc. 13 (1938), 8-11. cxxxviii
The generating function of Jacobi polynomials.
Bailey W. N. : Quart. J. Math. (Oxford) 12 (1941), 12-14. cxli
On the double integral representation of Appell´s function F4.
Bailey W. N. : Quart. J. Math. (Oxford) 12 (1941), 173-175. lxxii
A note on certain q-identities.
Bailey W. N. : J. London Math. Soc. 18 (1943), 249-256. lxi
Francis John Welsh Whipple.
Bailey W. N. : Proc. London Math. Soc. (2) 49 (1947), 421-435. lii
Some identities in combinatorial analysis.
Bailey W. N. : J. London Math. Soc. 22 (1947), 237-240. lxviii
A transformation of nearly-poised basic hypergeometric series.
Bailey W. N. : Quart. J. Math. (Oxford) 18 (1947), 157-166. lxxii
Well-poised basic hypergeometric series.
Bailey W. N. : Proc. London Math. Soc. (2) 50 (1949), 1-10. lxiii
Identities of the Rogers-Ramanujan type.
Bailey W. N. : Quart. J. Math. (Oxford) (2) 1 (1950), 194-198. lxxii
On the basic bilateral hypergeometric series 2Phi2.
Bailey W. N. : Quart. J. Math (Oxford) (2) 1 (1950), 318-320. lxxii
On the analogue of Dixon´s theorem for bilateral basic hypergeometric series.
Bailey W. N. : Proc. London Math. Soc. (3) 1 (1951), 217-221. liv
On the simplification of some identities of the Rogers-Ramanujan type.
Bailey W. N. : Quart. J. Math. (Oxford) (2) 3 (1952), 29-31. xxxvii
A note on two of Ramanujan´s formulae.
Bailey W. N. : Quart. J. Math. (Oxford) (2) 3 (1952), 158-160. xxx
A further note on two of Ramanujan´s formulae.
Bailey W. N. : Quart. J. Math. (Oxford) (2) 4 (1953), 237-240. cxxxix
On the sum of a terminating 3F2 (1).
Bailey W. N. : Proc. Amer. Math. Soc. 4 (1953), 569-572. cxlii
An expression for Theta1(nz)=theta1(z).
Bailey W. N. : J. London Math. Soc. 29 (1954), 498-503. xlii
Ernest William Barnes.
Bailey W. N. : Proc. Glasgow Math. Assoc. 2 (1954), 62-65. cxxxvii
Contiguous hypergeometric functions of the type 3F2 (1).
Bailey W. N. : Math. Gazette 40 (1956), 277-278. cxlii
A note on a 3F2.
Bailey W. N. : Quart. J. Math. (Oxford) (2) 10 (1959), 92-94. cxxxix
On the sum of a particular bilateral hypergeometric series 3H2.
Bailey W. N. : Quart. J. Math. (Oxford) (2) 10 (1959), 236-240. cxxxix
On two manuscripts by Bishop Barnes.
Baily W. Jr. : Proc. Indian Acad. Sci. (Math. Sci.) Ramanujan B.C.V. 97 (1987), 21-30. O
On the proof of the reciprocity law for arithmetic Siegel modular functions.
Baker A. : Acta Arithmetica 10 (1964), 315-323. Pi : A source book, 359-367.
Approximations to the logarithms of certain rational numbers.
Baker A. : Acta Artihmetica 10 (1964), 315-323. cxl
Approximations to the logarithms of certain rational numbers.
Baker A.: Mathematika 13 (1966), 204-216. cxxxix
Linear forms in the logarithms of algebraic numbers. I.
Baker A. : Mathematika 14 (1967), 102-107. cxxxix
Linear forms in the logarithms of algebraic numbers. II.
Baker A. : Mathematika 14 (1967), 220-228. cxxxix
Linear forms in the logarithms of algebraic numbers. III.
Baker A. : Mathematika 15 (1968), 204-216. cxxxix
Linear forms in the logarithms of algebraic numbers. IV.
Baker A. L. : 1890 John Wiley and Sons. e-B
Elliptic Functions, An Elementary Text-book for Students of Mathematics.
Baker A. L. : 1915 John Wiley ans Sons. O
Elliptic Functions, An Elementary Text-book for Student of Mahematics.
Baker G. A. : J. Math. Phys. 10 (1969), 814-820. lvi2
Best error bounds for Padé approximants to convergent series of Stieltjes.
Baker G. A. Jr. : J. Math. Anal. & Appl. 43 (1973), 498-528. cxlv
Existence and convergence of subsequences of Padé approximants.
Baker H. F. : J. London Math. Soc. 5 (1930), 307-318. xlii
Percy Alexander MacMahon.
Baker I. N. : Math. Ann. 129 (1955), 174-180. xlvii2
The iteration of entire transcendental functions and the solution of the functional equation...
Baker R. C. & Harman G. : Proc. London Math. Soc. (3) 72 (1996), No.2, 261-280. #154
The difference between consecutive primes.
Balakrishnan U. : J. Indian Math. Soc. 46 (1982), 181-187. lxxvii
On the Laurent expansion of zeta(s,a) at s=1.
Balasubrahmanian N. : Math. Student 18 (1950), 130-132. lxxvii / ?
On the number defined by Nr = (1/e) SUM (n^f / n! ).
Balasubramanian N. : Nieuw Arch. Wiskunde (4) 15 (1997), No.3, 133-140. #150
On the Bushe-Ramanujan identities.
Balasubramanian R. : J. Indian Inst. Sci. 1987 ( Special Issue ), 39-44. xxxiii / O
The circle method and its implications.
Balasubramanian R. & Deshouillers J.M. : C. R. Acad. Sci. Paris Sér. I. Math. 303 (1986), 85-88. cxxvi
Probléme de Waring pour les bicarrés. I. Schéma de la solution.
Balasubramanian R. & Deshouillers J.M. : C. R. Acad. Sci. Paris Sér. I. Math. 303 (1986), 161-163. cxxvi
Probléme de Waring pour les bicarrés. II. Résultats auxiliaires pour le theórème asymetrique.
Balasubramanian R. & Ponnussamy S. : Proc. Indian Acad. Sci. Math. Sci. 108 (1998), No.2, 95-108. cv-3
On Ramanujan asymptotic expansions and inequalities for hypergeometric functions.
Balasubramanian R. & Ramachandra K. : Proc. R. C.I.C Annamalainagar 1987, Ramanujan M. S. (1988), 27-30. O
On square-free numbers.
Balasubramanian R. & Ramachandra K. : Number Theory, Bombay (1988), T.I.F.R. - O.U.P. (1989), 12-22. O
Titchmarsh´s phenomenon for zeta(s).
Balazard M. & Saias E. & Yor M. : Adv. Math. 143 (1999), 284-287. #169
Notes sur la fonction zeta de Riemann. 2.
Baldwin P. R. : J. Statist. Phys. 66 (1992), No.5-6, 1463-1505. lxxxi1
A multidimensional continued fraction and some statistical properties.
Baldwin P. R. : J. Statist. Phys. 66 (1992), No.5-6, 1507-1526. lxxxi1
A convergence exponent for multidimensional continued fraction algorithm.
Balladi V. : Gazette des Matématiciens (1991), SMF 47, Janvier. #156
Comment compter avec les fonctions zeta.
Ballantine J. P. : (1939), 499-501. Pi : A source book, 271-273.
The best (?) formula for computing Pi to a thousand places.
Ballantine J. P. : Amer. Math. Monthly 46 (1939), 499-501. #162
The best (?) formula for computing Pi to a thousand places.
Ballieu R. : Mathesis, Recueil Mathematique a l´usage des écoles speciales. 54 (1942), 304-314. lxxxviii
Sur le dévelopement des irrationelles quadratiques en fractions continues régulières.
Baltus C. : J. Comput. & Appl. Math. 46 (1993), No.3, 395-404. c / upv-i1
Truncation error bounds for the compasition of limit-periodic linear fractional transformations.
Baltus C. & Cooper S. C. & Craviotto C. & McCabe J. H.: J. Comput. Appl. Math. 37 (1991), No.1-3, 57-69. c / upv-i1
On the use of a corresponding sequence algorithm for delta-fractions.
Baltus C. & Jones W. B. : Numer. Math. 46 (1985), 541-569. xxix / cx / cxxiv
Truncation error bounds for limit periodic continued fractions K( An / 1 ).
Baltus C. & Jones W.B. : Proc. Analytic T. Continued Fractions II, 1985, Lect. Notes Math. 1199 (1986), 1-20. O
a Family o f best value regions for modified continued fractions.
Baltus C. & Jones W. B. : Numer. Math. 55 (1989), No.3, 281-307. xv
Truncation error bounds for modified continued fractions with applications to special functions.
Bambah R. P. : J. London Math. Soc. (2) 2 (1946), 91-93. #165
Two congruence properties of Ramanujan´s function tau(n).
Bambah R. P. & Chowla S. : J. London Math. Soc. 22 (1947), 140-147. #160
The Residue of Ramanujan´s function tau(n) to the modulus 2^8.
Bangerezako G. : The Ramanujan Journal 5 (2001), No.2, June, 167-181. O
The Fourth Order Difference Equation for the Laguerre-Hahn Polynomials Orthogonal on Specoal Non-uniform Lattices.
Bankier J. D. & Leighton W. : Amer. J. Math. 64 (1942), 653-668. xxx
Numerical continued fractions.
Banks W. D. : The Ramaujan Journal 5 (2001), No.2, June, 153-157. O
Some Unusual Identities for Special Values of the Riemann Zeta Function.
Baragar A. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta.. (Eds.), 1999 AMS, 1-6. O
Rational curves with zero self intersection on certain K3 surfaces.
Baratella P. & Gabutti B. : J. Comput. & Appl. Math. 62 (1995), 181-196. #170
Uniform approximation on unit disk of series arising in plate contact problems.
Barbier L. E. : Ann. de Math. Pures et Appl. 21 (1831), 262-279. xlviii
Méthode pour la transformation d´une série quelconque, ou du rapport entre deux séries...
Barbolosi D. : Monatsch. Math. 109 (1990), No.1, 25-37. xxi
Sur le developpement in fractions continues a quotients partiels impaires.
Barbolosi D. : J. Theorie Nombres-Bordeaux. 5 (1993), No.1, 1-22. xxii / xx / civ
Automates et fractions continues.
Barbolosi D. : J. Number Theory 66 (1997), No.1, 172-182. cxlvii
Une application due theoreme ergodique sous-additif a la theorie metrique des fractions continues.
Barbolosi D. & Faivre C. : Indag. Math. 6 (1995), No.3, 257-265. xcvii
Metrical properties of some random variables connected with the continued frctions expansion.
Barbolosi D. & Jager H. : J. Theorie Nombres Bordeaux 6 (1994), No.1, 81-94. xciv / civ
On a theorem of Legendre in the theory of continued fractions.
Barkan P. : C. R. Acad. Sci. Paris Ser. A 284 (1977), 923-926. cxl
Sur les sommes de Dedekind et les fractions continues finies.
Barlow R. H. : BIT 14 (1974), 112-116. xl
Convergent continued fraction approximants to generalised polylogarithms.
Barnard R. W. : J. Comput. & Appl. Math. 105 (1999), No.1-2, 1-8. #166/#171
On Applications of hypergeometric functions.
Barnard R. W. & Pearce K. & Richards K. : ?? #171
An inequality involving the generalized hypegeometric function and the Arc length of an ellipse.
Barnard R. W. & Pearce K. & Schovanec L. : SIAM J. Math. Anal. ?? (????), ???-???. #171
On the Muir-Ramanujan approximation to the Arc length of an ellipse.
Barnes C. W. : Amer. Math. Monthly 91 (1984), No.7, 428-430. Ó
Euler´s constant and e.
Barnes E. R. & Kaufman W. E. : Amer. Math. Monthly 72 (1965), 1023. #168
The Euler-Mascheroni constant.
Barnes E. W. : Messenger of Mathematics 29 (1900), 64-128. xxxviii
The theory of the Gamma function.
Barnes E. W. : Quart. J. Pure & Appl. Math. 35 (1904), 175-188. lxxvi
The generalization of the Maclaurin sum formula, and the range of its applicability.
Barnes E. W. : Messenger of Mathematics 34 (1905), 52-71. li
On the homogeneous linear differene equation of the second order with linear coefficients.
Barnes E. W. : Proc. London Math. Soc. (2) 3 (1905), 253-272. cxxiii
The Maclaurin sumformula.
Barnes E. W. : Proc. London Math. Soc. (2) 5 (1907), 59-116. xliv
The Asymptotic expansion of integral functions defined by generalized hypergeometric series.
Barnes E. W. : Trans. Cambridge Phil. Soc. 20 (1907), 253-279. xcii
On functions defined by simple types of hypergeometric series.
Barnes E. W. : Quart. J. Pure & Appl. Math. 38 (1907), 108-140. cxxx
Th e use of factorial series in an asymptotic expansion.
Barnes E. W. : Proc. London Math. Soc. (2) 6 (1908), 141-177. xlix
A new development of the theory of the hypergeometric functions.
Barnes E. W. : Quart. J. Math. Pure & Appl. 41 (1910), 136-140. lxv
A transformation of generalized hypergeometric series.
Barnsley M. : Rocky Mount. J. Math. 4 (1974), 331-333. lxxvi
The bounding properties of the multiple-point Padé approximant to series of Stieltjes.
Barrionuevo J. & Burton R. M. & Dajani K. & Kraaikamp : Acta Arithm. 74 (1996), No.4, 311-327. #159
Ergodic properties of generalized Lüroth series.
Barrios D. & Lopez G. & Martinez A. & Torrano E. : J. Approx. Theory 93 (1998), No.2, 177-200. cxlviii
On the domain of convergence and poles of complex J-fractions.
Barrios D. & Lopez G. & Torrano E. : Sbornik Math. 186 (1995), No.5-6, (May-Jun), 629-659. lxxxv / cxii / cxiii
Polynomials generated by a three term recurrence relation with asymptotically periodic complex elemnets.
Barrow D. F. : Amer. Math. Monthly 43 (1936), 150-160. lxxviii
Infinite exponentials.
Barry P. D. & Hurley D. J. : Amer. Math. Monthly 98 (1991), No.3, 240-242. O
On Series of Partial Fractions.
Bartle R. G. & Sherbert D. R. : 2000 Limusa - Wiley. O
Introducción al Análisis Matemático de una Variable.
Bartos P. : Casopis pro Pestovani Matematiky 95 (1970), 411-415. #173
A remark on the number of solutions of the equation 1/x + 1/y = a/b in natural numbers.
Baruah N. D. (Nayandeep Deka) : The Ramanujan Journal 4 (2000), No.3, September, 239-250. O
A Few Theta-Function Identities and Some of Ramanujan´s Modular Equations.
Baruah N. D. : Journal of Mathematical Analysis and Applications 268 (2002), No.1, April 1, 244-255. m-01
Modular Equations for Ramanujan's Cubic Continued Fraction.
Basin S. L. : The Fibonacci Quarterly 1 (1963), No.1, February, 53-56. O
The Fibonacci sequence as it appears in nature.
Basin S. L. : The Fibonacci Quarterly 2 (1964), No.2, April, 119-122. O
A note on Waring´s formula for sums of like powers of roots.
Basin S. L. & Hoggatt V. E. Jr. : The Fibonacci Quarterly 1 (1963), No.1, February, 65-72. O
A primer on the Fibonacci sequence. Part I.
Basin S. L. & Hoggatt V. E. Jr. : The Fibonacci Quarterly 1 (1963), No.2, April, 61-68. O
A primer on the Fibonacci sequence. Part II.
Basu A. : The Ramanujan Journal 3 (1999), No.3, September, 297-301. O
Alternate proof of Shô Iseki´s functional equation.
Basu A. & Apostol T. M. : The Ramanujan Journal 4 (2000), No.4, December, 397-419. O
A New Method for Investigating Euler Sums.
Bateman H. : 1953 Mc Graw-Hill. O
Transcendental Functions. Volume 1.
Bateman P.T. & Diamond H.G. : Amer. Math. Monthly 103 (1996), No.9, 729-741. O
A hundred years of prime numbers.
Bateman P. T. & Grosswald E. : Illinois J. Math. 2 (1958), 88-98. cviii
On a theorem of Erdös and Szekeres.
Bateman P. T. & Knopp M. I. : The Ramanujan Journal 2 (1998), No.1/2, 247-269. O
Some New Old-Fashioned Modular Identities.
Bateman P. T. & Low M. E. : Amer. Math. Monthly 72 (1965), 139-143. cix
Prime numbers in artihmetic progressions with difference 24.
Batut C. & Olivier M. : Sem. Theor. Nombres. Bordeaux (1979-1980), 25 pages. xxxix
Sur l´acceleration de la convergence de certaines fractions continues.
Batyrev V.V. & Tschinkel Yu. : 4º Conf. Canad. Numb. Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 39-48. O
Rational points on toric varieties.
Bauer F. L. : J. Soc. Ind. Appl. Math. 8 (1960), 1-17. lxxi
The g-algorithm.
Bauer F. L. : The Math. Intelligencer 20 (1998), 12-13 & 38. O
An infinite product for square-rooting with cubic convergence.
Bauer G. : J. Reine Angew. Math. 56 (1859), 101-121. xlix
Von den coefficienten der reihen von kugelfunctionen einer variablen.
Bauer G. : Abh. der Kgl. Bayer Akad. der Wiss. München, Zwiete Klasse 11 (1872), 96-116. xc /xcii
Von einem kettenbruch von Eulers und einem theorem von Wallis.
Bauer M. : Linear Algebra & Appl. 174 (1992), 183-213. c / cxvii
Dilatations and continued fractions.
Bauer M. & Bennett M. A. : The Ramanujan Journal 6 (2002), No.2, June, 209-270. O
Applications of the Hypergeometric Method to the Generalized Ramanujan-Nagell Equation.
Baum L. E. & Sweet M. M. : Annals of Math. 103 (1976), 593-610. xcvi
Continued fractions of algebraic power series in characteristic 2.
Baum L. E. & Sweet M. M. : Annals of Math. 105 (1977), 573-580. xcvi
Badly approximable power series in characteristic 2.
Baumgart B. G. : The Fibonacci Quarterly 2 (1964), No.4, December, 260 & 302 & 313. O
Letter to the editor. ( Tribonacci, Tetranacci, Pentanacci, Hexanacci Series...).
Baweja K. K. & Kumar R. & Rai J. & Gary S. : Ganita 33 (1982), No.1-2, 50-52. cv-2
Sum of a double hypergeometric series.
Baxa C. : Acta Math. Inform. Univ. Ostraviensis 2 (1994), No.1, 81-84. lxxx1
Fast growing sequences of partial denominators.
Baxter R. J. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 69-84. O
Ramanujan´s identities in statistical mechanics.
Beals R. : GTM 12, 1973 / 1987, Springer Verlag. O
Advanced Mathematical Analysis.
Bean M. A. : 4º Conf. Canad. Number Theory 1994, K. Dilcher (ed.), 1995 AMS, 49-54. O
The number of solutions of the Thue inequality.
Bear R. S. C. : The Fibonacci Quarterly 2 (1964), No.3, October, 161-162. O
Fibonacci drawing board.
Beardon A. F. : Graduate Text Math. No. 132, Springer Verlag 1991. O
Iteration of Rational Functions.
Beardon A. F. : Journal of Computational and Aplpied Mathematics 131 (2001), Issue 1-2, 1 June, 143-148. #175 / m-01-pdf
Worpitzky's theorem on continued fractions.
Beardon A. F. & Lorentzen L. : Journal of Computational and Applied Mathematics 132 (2001), Issue 2, 15 July, 467-477. m-01
Approximants of Leszyski-Pringsheim Continued Fractions.
Beck M. : The Ramanujan Journal 4 (2000), No.3, September, 299-310. O
Counting Lattice Points by Means of the Residue Theorem.
Beckmann P. : The Golem Press, 1970. O
A History of Pi.
Beckenbach E. F. : Amer. Math. Monthly 57 (1950), 1-6. cxxviii / cxlv
A class of mean value functions.
Becker H. W. & Riordan J. : Amer. J. Math. 70 (1948), 385-391. lxxvii
The Artihmetic of Bell and Stirling numbers.
Becker P. G. : Elemente der Mathematik 45 (1990), No.1, 1-8. lxxxvii
Periodizitatseigenschaften p-adischer kettenbruche.
Beckman A. & Fornberg B. & Tengvald A. : BIT 9 (1969), 78-80. xl
A method for convergence acceleration of infinite series.
Bedocchi E. : Annali Mat. Pura & Appl. Ser. 4ª 152 (1988), 197-207. xxv
A note on p-adic continued fractions.
Bedocchi E. : Boll. Un. Mat. Ital. A (7) 3 (1989), No.2, 209-214. xiii
Remarks on periods of p-adic continued fractions.
Bedocchi E. : Manuscripta Math. 67 (1990), No.2, 187-195. xxi
Sur le developpement de root(m) en fraction continued p-adique.
Bedocchi E. : Boll. Un. Mat. Ital. A (7) 7 (1993), No.2, 259-265. xiii
Fractions continues p-adiques : periodes de longueur pair.
Beebee J. : Amer. Math. Monthly 99 (1992), No.10, 946-948. O
Bernoulli Numbers and Exact Covering Systems.
Beerends R. J. & Opdam E. M. : Trans. Amer. Math. Soc. 339 (1993), No.2, 581-609. cxxxi
Certain hypergeometric series related to the root system BC.
Behera A. & Panda G. K. : The Fibonacci Quarterly 37 (1999), No.2, May, 98-105. O
On the Square Roots of Triangular Numbers.
Belair J. & Milton J. G. : Applied Math. Letters 1 (1998), No.4, 339-342. xcvi
Itinerary of a discontinuous map from the continued fractions expansion.
Belevitch V. : SIAM J. Math. Anal. 13 (1982), 1024-1040. viii
The Gauss hypergeometric ratio as a positive real function.
Bell E. T. : A.M.S. Colloquium Vol. VII, American Mathematical Society, 1927. O
Algebraic Arithmetic. ( Signature of G. H. Hardy ).
Bell E. T. : Amer. Math. Monthly 35 (1928), 239-241. xlv
Certain completely solvable systems of simultaneous diophantine equations.
Bell E. T. : Annals of Math. 35 (1934), 258-277. lxxviii
Exponential polynomials.
Bell E. T. : Annals of Math. 39 (1938), 539-557. lxxviii
The iterated exponential integers.
Bell J. P. : Journal of Number Theory 87 (2001), No.1, March, 144-153. m-01
A Proof of a Partition Conjecture of Bateman and Erdos.
Bellman R. : Amer. Math. Monthly 50 (1943), 318-319. #168
A note on divergence of a series.
Bellman R. : Amer. Math. Monthly 53 (1947), 778-779. #168
A note on relatively primitive sequences.
Bellman R. : Holt, Rinehart and Winston 1961. O
A Brief Introduction to Theta Functions.
Bellman R. E. & Roth R. S. : World Scientific, 1984. O
The Laplace Transform.
Bender C. M. & Milton K. A. : J. Math. Phys. 35 (1994), No.1, 364-367. ci
Continued fraction as a discrete nonlinear transform.
Bender E. A. : Proc. Amer. Math. Soc. 42 (1974), 16-22. cvi
A lifting theorem for formal power series.
Bendersky L. : Acta Math. Stockholm 61 (1933), 263-322. lxxix
Sur la fonction gamma généralisée.
Bennett M. A. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 55-65. O
Simultaneous approximation to pairs of algebraic numbers.
Berend D. & Boshernitzan M. D. : Acta Math. Hungarica 66 No.1-2 ( 1995), 113-126. xiv
Number with complicated decimal expansions.
Berg L. : Resultate der Mathematik 30 (1996), No.3-4, 225-227. cxlvii
On an entry of Ramanujan concerning divergent series.
Bergeron F. & Berstel J. & Brlek S. : J. Theorie Nombres Bordeaux 6 (1994), No.1, 21-38. xciv / civ
Efficient computation of addition chains.
Bergeron F. & Berstel J. & Brlek S. & Duboc C. : J. Algorithms 10 (1989), No.3, 403-412. lxxxi3
Additions chains using continued fractions.
Berkovich A. & McCoy B. M. : Proc. Intern. Congress of Math. Berlin Vol. III (1998), 163-172. #159
Rogers-Ramanujan identities : A century of progress from Mathemtics to Physics.
Berkovich A. & McCoy B. M. : The Ramanujan Journal 4 (2000), No.4, December, 353-383. O
The Permutation phi2,1 of the M(p, p+1) Models of Conformal Field Theory and Related Polyn.-Character Identities.
Berkovich A. & Paule P. : The Ramanujan Journal 5 (2001), No.4, December, 391-404. O
Variants of the Andrews-Gordon Identities.
Berkovich A. & Paule P. : The Ramanujan Journal 5 (2001), No.4, December, 409-425. O
Lattice Paths, q-Multinomials and Two Variants of the Andrews-Gordon Identities.
Berlekamp E. & Wolfe D. : 1994 AK Peters. O
Mathematical Go, chilling gets the last point.
Bernadac E. : C. R. Acad. Sci. Paris Ser. I Math. 315 (1992), No.3, 329-332. xcv
Fractions continues sur les matrices symetriques reelles et la loi gaussienne inverse.
Bernadac E. : C. R. Acad. Sci. Paris Ser. I Math. 316 (1993), No.8, 859-864. xcv
Fractions continues aleatoires sur un cone symetrique.
Bernadac E. : J. Theoretical Probability 8 (1995), No.2 (Abr.), 221-259. xxii
Random continued fractions and inverse gaussian distribution on a symetric cone.
Berndt B. C. : Rocky Mount. J. Math. 2 (1972), 151-157. lxxix
On the Hurwitz zeta-function.
Berndt B. C. : Canad. Math. Bull. 16 (1973), 381-387. lxii4
A new method in arithmetical functions and contour integration.
Berndt B. C. : Trans. Amer. Math. Soc. 178 (1973), 495-508. xciv
Generalized Dedekind eta-functions and generalized Dedekinds sums.
Berndt B. C. : Maths. Mag. 48 (1975), 148-154. xliv
Elementary evaluations of Zeta(2n).
Berndt B. C. : J. Number Theory 7 (1975), 413-445. lvi
Character analogues of the Poisson and Euler-Maclaurin summation formulas with applications.
Berndt B. C. : J. Reine Angew. Math. 272 (1975), 182-193. lxxx
Generalized Eisenstein series and modified Dedekind sums.
Berndt B. C. : Acta Arithm. 28 (1975), 299-320. lxxxiii
On Eisenstein series with characters and the values of Dirichlet L-functions.
Berndt B. C. : J. London Math. Soc. (2) 13 (1976), 129-137. lxxx
Dedekind sums and a paper of G. H. Hardy.
Berndt B. C. : Rocky Mountain J. Math. 7 (1977), 147-189. xliv
Modular transformations and generalizations of several formulae of Ramanujan.
Berndt B. C. : J. Reine Angew. Math. 303 / 304 (1978), 332-365. vi1
Analytic Eisenstein Series, Theta functions and Series Relations in the Spirit of Ramanujan.
Berndt B. C. : Math. Magazine 51 (1978), 147-164. xxxii
Ramanujan´s notebooks.
Berndt B. C. : L´Enseignement Math. 26 (1980), 1-65. cxxii
Chapter 14 of Ramanujan´s second notebook.
Berndt B. C. : Pacific J. Math. 103 (1982), 295-299. xli / lxxxii
An arithmetic Poisson formula.
Berndt B. C. : J. Indian Math. Soc. 46 (1982), 31-76. lvii
Chapter 10 of Ramanujan´s second notebook.
Berndt B. C. : Amer. Math. Monthly. 90 (1983), 505-516. iii
The Quarterly Reports of S. Ramanujan.
Berndt B. C. : Resultate der Math. 6 (1983), 7-26. cxxiii
Chapter 6 of Ramanujan´s second notebook.
Berndt B. C. : Bull. London Math. Soc. 15 (1983), 273-320. cxxi
Chapter 11 of Ramanujan´s second notebook.
Berndt B. C. : J. Reine Angew. Math. 338 (1983), 1-55. lvi
Chapter 8 of Ramanujan´s second notebook.
Berndt B. C. : Bull. London Math. Soc. 16 (1984), 449-489. xl
Ramanujan´s quarterly reports.
Berndt B. C. : Amer. Math. Monthly. 92 (1985), 126-129. f
The gamma function and the Hurwitz zeta-function.
Berndt B. C. : Number Theory Ooctacamund, India (1984), (ed.):K.Alladi, Lect. Notes Math. 1122 (1985), 47-55. O
Remarks on some of Ramanujan´s number theoretical discoveries found in his second notebook.
Berndt B. C. : The Math. Intell. 8 (1986), No.1, 25-30. O
A Pilgrimage.
Berndt B. C. : The Math. Intell. 10 No.3 (1988), 24-29. O
Ramanujan -- 100 Years Old (Fashioned) or 100 Years New (Fangled) ?.
Berndt B. C. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 313-333. O
Ramanujan´s modular equations.
Berndt B. C. : Proc. Ramanujan Cent. Inter. Conf., Annamalainagar 1987, Ramanujan Math. Soc. (1988), 15-20. O
Introduction to Ramanujan´s modular equations.
Berndt B. C. : Number Theory, Madras (1987), (ed.): K. Alladi, Lect. Notes Math. 1395 (1989), 122-139. O
Ramanuajn and the theory of prime numbers.
Berndt B. C. : Number Theory and Related Topics, Bombay (1988), T.I.F.R. - O.U.P. (1989), 23-29. O
Ramanujan´s formulas for Eisenstein series.
Berndt B. C. : Indian J. Math. 32 (1990), No.2, 179-185. xliii2
Some asymptotic formulas for q-series found in Ramanujan´s third notebook and "Lost Notebook".
Berndt B. C. : Ganita 43 (1992), No.1-2, 33-43. xxxix
On certain theta-function in a letter of Ramanujan from Fitzroy House.
Berndt B. C.: CRM Proc. & Lect. Notes Vol. 1, Murty (ed.), Theta functions, A.M.S. (1993), 1-63. O
Ramanujan´s theory of theta-functions.
Berndt B. C. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), xiii-xxxvi. O
Hans Rademacher 1892-1969.
Berndt B. C. : Numb. Theory & Appl. Surikaisikenkyuusho Kokyuuroku No.1060, RIMS Kyoto Univ1998,111-118. f.
The Remaining 40% of Ramanujan´s Lost Notebook.
Berndt B. C. : Charlemagne & His Heritage:1200 Years of Civil.& Sci. In Europe Vol. 2 Math. Arts, 1998 119-146.f
An Overview of Ramanujan´s Notebooks.
Berndt B. C. & Bhargava S. : J. Math. Anal. Appl. 160 (1991), 504-524. v
Ramanujan´s inversion formulas for the lemmniscate and allied functions.
Berndt B. C. & Bhargava S. : Glasgow Math. J. 34 (1992), 341-345. xl
A remarkable identity found in Ramanujan´s third notebook.
Berndt B. C. & Bhargava S. : Amer. Math. Monthly 100 No.7 (1993), 644-656. O
Ramanujan - For Lowbrows.
Berndt B. C. & Bhargava S. & Garvan F. G. : Trans. Amer. Math. Soc. 347 (1995), 4163-4244. lxxv / lxxvi
Ramanujan´s theories of elliptic functions to alternative bases.
Berndt B.C. & Biagioli A.J. & Purtilo J.M. : J. Ramanuajn Math. Soc. 1 (1986), No.1-2, 46-70. O
Ramanujan´s "mixed" modular equations.
Berndt B.C. & Biagioli A.J. & Purtilo J.M. : J. Indian Math. Soc. 51 (1987),75-110. xxxiii
Ramanujan´s modular equations of "large" prime degree.
Berndt B.C. & Biagioli A.J. & Purtilo J.M. : Indian J. Math. 29 (1987), 215-228. xliii
Ramanujan´s modular equations of degres 7 and 11.
Berndt B.C. & Bialek P. : 4º Conf. Canad. Numb. Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 67-86. O
Five formulas of Ramanujan arising from Eisenstein series.
Berndt B.C. & Bowman D.C. : CMS Conf. Proc. 27 : Const. Exper. and Non-linear Analysis. 2000 AMS, 19-27. #166
Ramanujan´s short unpublished manuscript on integrals and series related to Euler constant.
Berndt B. C. & Chan H. H. : Canadian J. Math. 47 (1995), No.5 (Oct.), 897-914. xxi
Some values for the Roger-Ramanujan continued fraction.
Berndt B. C. & Chann H. H. : Mathematika 42 (1995), 278-294. lxxiv
Ramanujan´s explicit values for the classical theta-function.
Berndt B.C. & Chan H.H. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta ... (Eds.), 1999 AMS, 7-16. O
Notes on Ramanujan´s singular moduli.
Berndt B. C. & Chan H. H. : Canad. Math. Bull. 212 (1999), No.4, 427-440. #164
Ramanujan and the modular j-invariant.
Berndt B.C. & Chan H.H. & Huang S.S. & Kang S.Y. & Sohn J. & Son S.H. : J.C.&A.M. 105 (1999), 9-24. #161
The Rogers-Ramanujan continued fraction.
Berndt B. C. & Chan H. H. & Liaw W. Ch. : Journal of Number Theory 88 (2001), No.1, May, 129-156. m-01
On Ramanujan's Quartic Theory of Elliptic Functions.
Berndt B. C. & Chan H. H. & Sohn J. & Son S. H. : The Ramanujan Journal 4 (2000), No.1, March, 81-114. O
Eisenstein Series in Ramanujan´s Lost Notebook.
Berndt B. C. & Chan H. H. & Zhang L. C. : Acta Arith. 73 (1995), No.1, 67-85. xxii
Ramanujans class invariants and cubic continued fraction.
Berndt B. C. & Chan H. H. & Zhang L. C. : J. Reine Angew. Math. 480 (1996), 141-159. lviii
Explicit evaluations of the Rogers-Ramanujan continued fraction.
Berndt B. C. & Chan H. H. & Zhang L. C. : The Ramanujan Journal 1 (1997), No.1, 53-74. O
Ramanujan´s Singular Moduli.
Berndt B. C. & Chan H. H. & Zhang L. C. : Trans. Amer. Math. Soc. 349 (1997), 2125-2173. lxvi
Ramanujan´s class invariants, Kronecker´s limit formula and modular equations.
Berndt B.C. & Chan H.H. & Zhang L.C. : Special Functions, q-Series.. M.E.H. Ismail (Eds.), A.M.S. 1997, 37-53. O
Ramanujan´s Class Invariants with Applications to the Values of q-Continued Fractions and Theta Functions.
Berndt B. C. & Chan H. H. & Zhang L. C. : Proc. Edinburgh Math. Soc. 40 (1997), 583-612. lxxiv
Ramanujan´s remarkable product of theta-functions.
Berndt B. C. & Chan H. H. & Zhang L. C. : Amer. Math. Monthly 104 (1997), No.10, 905-911. #154
Ramanujan´s association with radicals in India.
Berndt B. C. & Chan H. H. & Zhang L. C. : Acta Arithm. 87 (1998), No.2, 145-158. cxlvii
Radicals and units in Ramanujan work.
Berndt B.C. & Choi Y.S. & Kang S.Y. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Math. 236 (1999), 15-56. O
The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society.
Berndt B. C. & Dieter U. : J. Reine Angew. Math. 337 (1982), 208-220. xl
Sums involving the greatest integer function and Riemann-Stieltjes integration.
Berndt B. C. & Evans R. J. : J. Number Theory 11 (1979), 349-398. #170
Sums Gauss, Jacobi, and Jacobsthal.
Berndt B. C. & Evans R. J. : Illinois J. Math. ?? (1979-1980), ???-???. #176
Sums of Gauss, Eisnestein, Jacobi, Jacobsthal and Brewer.
Berndt B. C. & Evans R. J. : Expositiones Math. 2 (1984), 289-347. lvi
Chapter 13 of Ramanujan´s Second Notebook: Integrals and Asymptotic expansions.
Berndt B. C. & Evans R. J. : J. Reine Angew. Math. 361 (1985), 118-134. #152
Extensions of asymptotic expansions from chapter 15 of Ramanujan´s second notebook.
Berndt B. C. & Evans R. J. : Acta Arithm. 47 (1986), 123-142. lvi
Chapter 15 of Ramanujan´s Second Notebook : part 2 , modular forms.
Berndt B. C. & Evans R. J. : Proc. 1ª Conf. Canadian Number Theory ( Banff, AB, 1988), (Gruyter 1990),1-6. O
An integral functional equation of Ramanujan related to the dilogarithm.
Berndt B. C. & Evans R. J. : J. Computational & Appl. Math. 37 (1991), No.1-3, 35-41. xxvi
Some elegant approximations and asymptotic formulas of Ramanujan.
Berndt B. C. & Evans R. J. : Proc. Edinburgh Math. Soc. (2) 35 (1992), No.2, 189-199. lxxiv
Asymptotic expansions of a series of Ramanujan.
Berndt B. C. & Evans R. J. : The Rademacher Legacy to Math. Contemporary Math. A.M.S. 166 (1994), 1-7. O
On Rademacher´s multiplier system for the classical theta-function.
Berndt B. C. & Evans R. J. & Wilson B. M. : Adv. in Math. 49 (1983), 123-169. cxxi
Chapter 3 of Ramanujan´s second notebook.
Berndt B. C. & Galway W. F. : The Ramanujan Journal 4 (2000), No.1, March, 41-42. O
On the Brocard-Ramanujan Diophantine Equation n! + 1 = m^2.
Berndt B. C. & Gesztesy F. (eds.) : Contemporary Mathematics Vol. 236 (1999), AMS, xviii + 379 pp. O
Continued Fractions : from analytic number theory to constructive approximation. A Volume in Honor of L.J. Lange.
Berndt B. C. & Gesztesy F. : Contemporary Mathematics Vol. 236 (1999), xii-xiv. O
L. J. Lange on his 70th birthday.
Berndt B. C. & Hafner J. L. : Proc. Indian Acad. Sci. (Math. Sci.) 104 (1994), 245-252. lxii2
Two remarkable doubly exponential series transformations of Ramanujan.
Berndt B. C. & Huang S. S. & Sohn J. & Son S. H. : Trans. Amer. Math. Soc. 352 (2000), No.5, 2157-2177. #164
Some theorems on the Rogers-Ramanujan continued fraction in Ramanujan lost notebook.
Berndt B. C. & Joshi P. T. : Contemporary Mathematics Vol. 23 (1983), AMS, 83 pp. O
Chapter 9 of Ramanujan´s second notebook : Infinite series identities, transformations and evaluations.
Berndt B. C. & Joshi P. T. & Wilson B. M. : Glasgow Math. J. 22 (1981), 199-216. cxxi
Chapter 2 of Ramanujan´s second notebook.
Berndt B. C. & Lamphere R. L. & Wilson B. M. : Rocky Mount. J. Math. 15 (1985), 235-310. xliv
Chapter 12 of Ramanujan´s Second Notebook : continued fractions.
Berndt B. C. & Ono K. : Séminaire Lotharingien de Combinatoire 42 (1998), B42c. 63pp. F.ps
Ramanujan´s Unpublished Manuscript on the Partition and Tau Functions with Proofs and Commentary.
Berndt B. C. & Ono K. (eds.) : 2001 American Mathematical Society. O
Q-Series with Applications to Combinatorics, Number Theory and Physics.
Berndt B. C. & Rankin R. A. (Eds.) : American Mathematical Society, 2001. O
Ramanujan : Essays and Surveys.
Berndt B.C. & Schoenfeld L. : Acta Arithm. 28 (1975), 23-68. xlvii2
Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with appl. to N.T.
Berndt B. C. & Wilson B. M. : Proc. Royal Soc. Edinburgh 89 A (1981), 87-109. lvii
Chapter 4 of Ramanujan Second Notebook.
Berndt B. C. & Wilson B. M. : Knopp, M.I. (Ed.) : Anal. Numb. Theory, Lect. Notes Math. 899 (1981), 49-78. cxxviii
Chapter 5 of Ramanujan´s second notebook.
Berndt B. C. & Zhang L. C. : Math. Ann. 292 (1992), 561-573. lxxvii
Ramanujan identities for eta-functions.
Berndt B. C. & Zhang L. C. : J. Number Theory 48 (1994), 224-242. #169
A new class of theta-function identities originating in Ramanujan´s notebooks.
Bernoulli D. : Ouvres - Werke - Opera. lxxxvi
Adversaria analytica miscellanea de fractionibus continuis.
Bernstein F. & Szász O. : Mathematische Annalen 76 (1915), 295-300. xlvii2
Über irrationalität unendlicher kettenbrüche mit einer anwendung auf die reihe S(q^v^2 X^v).
Bernstein V. : 1933 Gauthier Villars. O
Leçons sur les Progrès Récents de la Théorie des Séries de Dirichlet.
Berrizbeitia P. & Elliot P. D. T. A. : The Ramanujan Journal 2 (1998), No.1/2, 219-223. O
On Products of Shifted Primes.
Berry A. : Amer. J. Math. 30 (1908), 156-169. xxxi
On elliptic modular equations for transformations of order 29, 31, 37.
Berry T. G. : Arch. Math (Basel) 55 (1990), No.3, 259-266. lxxx
On periodicity of continued fractions in hyperelliptic functions fields.
Bertin M. J. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 17-23. O
The operator x+(1/x)-2 and the reciprocal integers.
Bertolini M. & Darmon H. : B. Engquist & W. Schmid : Math. Unlimited 2001 & Beyond, Springer 2001, 109-170. O
The p-adic L-Functions of Modular Elliptic Curves.
Bertram W. : C. R. Acad. Sci. Paris Ser. I Math. 316 (1993), No.11, 1161-1166. ciii
Generalisation d´une formule de Ramanujan dans le cadre de la transformation de Fourier spherique associe...
Bertram W. : J. Functional Analysis 148 (1997), No.1, 117-151. #151
Ramanujan´s master theorem and duality of simmetric spaces.
Bertrand D. : The Ramanujan Journal 1 (1997), No.4, 339-350. O
Thta Functions and Transcendence.
Berwick W. E. : Proc. London Math. Soc. 28 (1927), 53.69. lxxix
Modular invariants, expresible in terms of quadratic and cubic irrationalities.
Beskin N. : Mir Moscu, 1980-87. O
Fracciones Maravillosas.
Bessenrodt C. : European J. Combinatorics 12 (1991), 271-276.
A combinatorial proof of the Andrews-Olsson partition identity.
Bessenrodt C. : J. Comb. Theory Ser. A 69 (1995), No.1, (Jan), 159-167. xcviii
On a theorem od Alladi and Gordon and the Gaussian polynomials.
Beukers F. : Bull. London Math. Soc. 11 (1979), 268-272. xviii
A note on the irrationality of zeta(2) and zeta(3).
Beukers F. : Bull. London Math. Soc. 11 (1979), 268-272. Pi : A source book, 434-438.
A note on the irrationality of zeta(2) and zeta(3).
Beukers F. : Acta Arithmetica 38 (1981), 389-410. #153 / #159
On generalized Ramanujan-Nagell equation. I.
Beukers F. : Acta Arithmetica 39 (1981), 113-123. #153 / #159
On generalized Ramanujan-Nagell equation. II.
Beukers F. : J. Number Theory 21 (1985), 141-155. #170
Some congruences for the Apéry numbers.
Beukers F. : J. Number Theory 25 (1987), 201-210. #170
Another congruence for the Apéry numbers.
Beukers F. : Asterisque 147-148 (1987), 271-283 & 345. #157 / #152
Irrationality proofs using modular forms.
Beukers F. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 25-33. O
Integral points on cubic surfaces.
Beukers F. & Bézivin J.P. & Robba P. : Amer. Math. Monthly 97 (1990), No.3, 193-197, Pi : A source book, 649-653.
An alternate proof of the Lindemann-Weierstrass theorem.
Beukers F. & Heckman G. : Invent. Math. 95 (1989), 325-354. #174
Monodromy for the hypergeometric function nFn-1.
Beukers F. & Peters Ch. A. M. : J. Reine Angew. Math. 351 (1984), 42-54. #155
A family of k3 surfaces and zeta(3).
Beyer W. A. & Louck J. D. & Stein P. R. : J. Math. Phys. 28 (1987), No.3, 497-508. cvii
Group theoretical bases of some identities for the generalized hypergeometric series.
Beynon W. M. : J. Algorithms 4 (1983), 221-240. lxii4
A formal account of some elementary continued fractions algorithms.
Bezivin J. P. : C. R. Acad. Sci. Paris Ser. I Math. 318 (1994), No.11, 991-994. xciv
Fractions continues et suites recurrentes.
Bhagirathi N. A. : Mathematics Student 56 (1988), No.1-4, 97-104, (1989). xix / O
On certain continued fractions an q-series.
Bhagirathi N. A. : Mathematics Student 56 (1988), No.1-4, 135-141, (1989). xix / O
On basic bilateral hypergeometric series and continued fractions.
Bhagirathi N. A. : Mathematics Student 56 (1988), No.1-4, 158-170, (1989). xix / O
On certain investigations in q-series and continued fractions.
Bhagirathi N. A. : Mathematics Student 59 (1991), No.1-4, 190-192. xix / O
A note on certain papers of Neera A. Bhagirathi.
Bhargava S. : J. Indian Math. Soc. 57 (1991), 35-44. xxxiii / ?
Some series inversions akin to Ramanujan´s inversion formulas for the lemniscate function.
Bhargava S. : Ganita 43 (1992), 63-67. xliii2
On a family of Ramanujan´s formulas for sums of fourth powers.
Bhargava S. : J. Math. Anal. Appl. 193 (1995), 543-558. lxxv / cxiv
On unification of the cubic analogues of the Jacobian theta-function.
Bhargava S. & Adiga C. : Proc. Amer. Math. Soc. 92 (1984), 13-18. i
On some continued fraction identities of Srinivasa Ramanujan.
Bhargava S. Adiga C. : Number Theory, India (1984), Ed.: K. Alladi, Lect. Notes Math. 1122 (1985), 56-62. O
Two generalizations of Ramanujan´s continued fraction identities.
Bhargava S. & Adiga C. : Indian J. Pure Appl. Math. 17 (1986), 338-342. xliii3
A basic hypergeometric transformation of Ramanujan and a generalization.
Bhargava S. & Adiga Ch. : Internat. J. Math. Ed. Sci. Tech. 18 (1987), No.2, 318-320. liv
On two elliptic theta-function identities stated by Srinivasa Ramanujan.
Bhargava S. & Adiga Ch. : Internat J. Math. Ed. Sci. Tech. 19 (1988), 779-782. liv
Simple proofs of Jacobi´s two and four square theorems.
Bhargava S. & Adiga C. & Somashekara D. D. : Proc. Indian Acad. Sci. (Math.Sci.) 97 (1987), 31-43. O
On Some generalizations of Ramanujan´s continued fraction identities.
Bhargava S. & Adiga C. & Somashekara D. D. : J. Math. Phys. Sci. 21 (1987), No.6, 613-629. xxxiv2
On certain continued fractions related to 3phi2 basic hypergeometric functions.
Bhargava S. & Adiga C. & Somashekara D. D. : Math. Student 57 (1989), 88-100. xxxiv2
Parity results deducible from certain theta function identities found in chapter 16 of Ramanujan´s second notebook.
Bhargava S. & Adiga C. & Somashekara D.D. : Proc. Symp. Algeb. Number Theory, Kerala 1990, 23-29. O / f
Some relations between infinite series and infinite products.
Bhargava S. & Adiga C. & Somashekara D. D. : Bull. Austral. Math. Soc. 44 (1991), No.1, 149-154. ciii
An estimate of Ramanujan to the greatest integer function.
Bhargava S. & Adiga C. & Somashekara D. D. : Comment. Math. Univ. St. Pauli 41 (1992), No.2, 125-134. xcv / lxii4
A generalization of Shiokawa´s rational approximation to the Rogers-Ramanujan continued fraction.
Bhargava S. & Adiga C. & Somashekara D.D. : Indian J. of Math. 41 (1999), No.1, 39-42. cv-3
Ramanujan´s 1phi1 summation and an interesting generalization of an identity of Jacobi.
Bhaskaran M. : Proc. Ramanujan Cent. Inter. Conf., Annamalainagar 1987, Ramanujan Math. Soc. (1988), 77-84. O
Some applications of Tchebotarev density theorem.
Bhatnagar G. : The Ramanujan Journal 3 (1999), No.2, June, 175-203. O
Dn Basic Hypergeometric Series.
Bhatnagar G. & Milne S. C. : Adv. in Math. 131 (1997), 188-252. cxviii
Generalized bibasic hypergeometric series and their U(n) extensions.
Bhatnagar N. : Proc. Indina Acad. Sci. Math. Sci. 107 (1997), No.1, 95-100. cv-3
Discrete Fourier transform computation using prime Ramanujan numbers.
Bhatnagar G. & Schlosser M. : Constr. Approx. 14 (1998), 531-567. cxlv
Cn and Dn very-well-poised 10phi9 transformations.
Biagioli A. J. : Glasgow Math. J. 31 (1989), No.3, 271-295. li
A proof of some identities of Ramanujan using modular forms.
Biagioli A. J. F. : Acta Artihmetica 54 (1990), 273-300. xxxix2 / cx
The construction of modular forms as products of transforms of the Dedekind eta-function.
Bicknell-Johnson M. & Fielder D. C. : The Fibonacci Quaterly 37 (1999), No.1, February, 47-60. O
The Number of Representations of N Using Distinct Fibonacci Numbers, counted by Recursive Formulas.
Bicknell M. & Hoggarr V. E. Jr. : The Fibonacci Quarterly 1 (1963), No.2, April, 47-52. O
Fibonacci matrices and lambda functions.
Bieberbach L. : Amer. Math. Soc. - Chelsea, 1949-53-64-2000. O
Conformal Mapping.
Biermann K. R. : J. Reine Angew. Math. 216 (1964), 159-198. lxxix
Thomas Clausen. Mathematiker und Astronom.
Biler P. & Nadzieja T. : Prepint, August 1990 Wroclaw University. O
Differential Equations : A Collection of Exercises, Problems, Theorems, Examples and Countreexamples.
Birch B. J. : J. London Math. Soc. 42 (1967), 149-151. #160
Multiplicative functions with non-decreasing normal order.
Birch B. J. : Mathematika 16 (1969), 283-294. liv
Weber´s class invariants.
Birch B. J. : Math. Proc. Cambridge Philos. Soc. 78 (1975), 73-79. xxv
A look back at Ramanujan´s notebooks.
Birch B. J. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 600. O
Commentary : ( With P. Erdös), On the addition of residue classes mod p. ( Heilbronn).
Birch B. J. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 602. O
Commentary : On the average length of a class of finite continued fractions. (Heilbronn).
Birch B. J. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 602-603. O
Commentary : On the 2-class group of cubic fields.
Birch B. J. & Vaughan R. C. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 576-585. O
The Papers on Waring´s Problem.
Birch R. H. : (1946), 173-174. Pi : A source book, 274-275.
An algorithm for the construction of arctangent relations.
Birkhoff G. (ed.) : Harvard University Press 1973. O
A Source Book in Classical Analysis.
Bissinger B. H. : Bull. Amer. Math. Soc. 50 (1944), 868-876. cix
A generalization of continued fraction.
Blackwell P. : Amer. Math. Soc. 78 (1971), No.3, March, 273. f
An alternative proof of a theorem of Erdös and Szekeres.
Blanch G. : SIAM Rev. 6 (1964), 383-421. vi2
Numerical evaluation of continued fractions.
Blanksby P. E. : J. Austral Math. Soc. 10 (1969), 145-154. xiv
A result for semi-regular continued fractions.
Blecksmith R. F. : Thesis 1983. F
The Determination of Ramanujan Pairs.
Blecksmith R. & Brillhart J. & Gerst I. : Math.of Comp.46 (1986), 731-749. #169
A computer assisted investigation of Ramanjan pairs.
Blecksmith R. & Brillhart J. & Gerst I. : Math. Comp. 48 (1987), 29-38. xli / cxiii
Parity results for certain partition functions and identities similar to theta function identities.
Blecksmith R. & Brillhard J. & Gerst I. : Math. Comp. 51 (1988), 301-314. xxxix2 / cxii
Some infinite products identities.
Blecksmith R. & Brillhard J. & Gerst I. : Math. Comp. 61 (1993), 83-95. #159
A fundamental modular identity and some applications.
Blij F. van der : Math. Student 18 (1950),. 83-99. #160
The function tau(n) of Ramanujan.
Block D. : Scripta Math. 21 (1955), 208-213. cix
Some properties of the convergents of root(2).
Blom J. : J. Austral. Math. Soc. Ser. A 53 (1992), No.1, 78-91. xiv
Metrical properties of best approximants.
Bloom D. M. : The Fibonacci Quarterly 2 (1964), No.3, October, 218. O
Corrected factorizations of Fibonacci numbers.
Blümer F. : Comm. Math. Helvetici 10 (1937-1938), 18-41. lxiii
Über die güte der approximation einer reelen zahl durch die näherungbrüche ihre halregelmässigen...
Blümer F. : Comm. Math. Helvetici 10 (1937-1938), 97-109. lxiii
Über das wachtum der näherungsnenner halbregelmässiger kettenbrüche.
Blümer F. : Acta Arithm. 3 (1939), 3-63. lxxxi1
Über die verschiedenen Kettenbruchentwicklungen beliebiger reele zahlen und die peirodischen Kettenbuchen...
Blyth C. R. & Pathak P. K. : Amer. Math. Monthly 93 (1986), No.5, 376-379. Ó
A note on esay proofs of Stirling´s theorem.
Bo D. : Amer. Math. Monthly 97 No.9 (1990), 836. O
A Simple Derivation of the Maclaurin Series for Sine and Cosine.
Boas R. P. Jr. : J. London Math. Soc. 21 (1946), 102-105. cix
Poisson´s summation formula in L^2.
Boas R. P. Jr. : Academic Press Inc. Publishers N.Y. 1954. O
Entire functions.
Boas R. P. Jr. : Archiv der Math. 11 (1960), 350-351. #151
A series considered by Ramanujan.
Boas R. P. Jr. : Amer. Math. Monthly 84 (1977), 237-258. xlix
Partial sums of infinite series, and how they grow.
Boas R. P. & Pollard H. : Amer. Math. Monthly 80 (1973), No.1, 18-25. lxxxiii
Continuous analogues of series.
Böcherer S. : Proc. Symp. Pure Math. 49, part 2, Theta Functions Bowdoin 1987 A.M.S. (1989), 3-17. O
Siegel modular forms and theta series.
Bochner S. : Annals of Math. (2) 53 (1951), 332-363. lii
Some properties of modular relations.
Bochner S. & Chandrasekharan K. : Annals of Math. 63 (1956), 336-360. #156
On Riemann´s functional equation.
Bodendiek R. & Halbritter U. : Abh. Math. Sem. Univ. Hamburg 38 (1972), 147-167. lxxxiv
Über die transformation formel von log n(t) und gewisser Lambertscher Reihen.
Bodnar D. I. : Ukrainian Math. J. 41 (1989), No.11, 1339-1343. xxiii
Convergence test of Pringsheim type for branching continued fractions.
Bodnar D. I. : Ukrainian Math. J. 43 (1991), No.4, 437-444. xcviii
Correslonding branched continued fractions with linear partial numerators for doible power series.
Bodnar D. I. : J. Soviet Math. 67 (1993), No.5, 3265-3268. lxxxv
On Koch´s convergence test for branching continued fractions.
Böhmer P. E. : Math. Ann. 96 (1926), 367-377. lix
Über die transzendenz gewisser dyadische brüche.
Böhmer P. E. : Math Ann. 96 (1926), 735. lix
erratum : Über die transzendenz ...
Bojanov B. & Sri Ranga A. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 57-70. O
Some examples of moment preserving approximation.
Bollobás B. : Eureka 48 (1988), 81-98. xxxvi / ?
Ramanujan - a glimpse of his life and his mathematics.
Bóna M. : The Ramanujan Journal 3 (1999), No.2, June, 215-220. O
Partitions with k Crossings.
Bonan-Hamada C.M. & Jones W.B. & Njastad O. : RC ... C. F. V 1996, Dekker (1998), LNPAM 199, 15-30. O
Natural solutions of indeterminate strong Stieltjes moment problems derived from PC-fractions.
Bonan-Hamada C. M. & Jones W. B. & Thron W. J. : Numer. Algorithms 3 (1992), No.1-4, 67-74. xcviii
Para-orthogonal Laurent polynomials and associated sequences of rational functions.
Bonan-Hamada C.M. & Jones W.B. & Thron W.J. & Magnus A. : P. C.F IV, Dekker LNPAM 154 (1994), 1-21. O
Discrete distribution functions for log-normal moments.
Bonan-Hamada C.M. & Jones W.B. & Thron W.J. & Njastad O. : C. F. V 96, Dekker LNPAM 199 (1998), 31-55. O
A class of indeterminate strong Stieltjes moment problem with discrete distributions.
Bonse : Arch. der Math. u. Phys. (3) 12 (1907), 292-295. lxxx
Über eine bekamte Eigenschaff der Zahl 30 und ihre Verallgemeinerung.
Boo R. C. : Amer. Math. Monthly 94 (1987), 662-663. O
An elementary proof of SUM (n>=1) 1/n^2 = (3Dpi^2)/6.
Boos J. : 2000 Oxford University Press. O
Classical and Modern Methods in Summability.
Borchardt C. W. : J. Reine Angew. Math. 48 (1854), 69-104. civ
Application des transcendantes abéliennes à la théorie des fractions continues.
Borel A. & Chowla S & Herz C. S. & Iwasawa K. & Serre J. P. : Lect. Notes Math. 21, Springer Verlag 1966. O
Seminar on Complex Multiplication.
Borel A. : Proc. Indian Acad. Sci. (Math. Sci.): Ramanujan B.C.V. 97 (1987), 45-52. O
On the set of discrete subgrups of bounded covolume in a semisimple group.
Borel J. P. : Monatsh. Math. 110 (1990), No.3-4, 207-216. xcvii
Suites dont la discrepance est comparable a un logarithme.
Borodoin A. & Fagin R. & Hopcroft J. E. & Tompa M. : J. Symbolic Comput. 1 (1985), 169-188. cxlvii
Decreasing the nesting depth of expressions involving square roots.
Borodin A. & Munro I. : American Elsevier 1975. O
The Computational Complexity of Algebraic and Numerical Problems.
Boros G. & Moll V. H. : Journal of Computational & Appl. Math. 130 (2001), Issue 1-2, 1 May, 337-344. #175 / m-01-pdf
The double square root, Jacobi polynomials and Ramanujan's master theorem.
Bortolotti E. : Rend. Circl. Mat. di Palermo 6 (1892), 1-13. lxxx
Sulla generalizzazione delle frazioni continue algebriche.
Bortolotti E. : Rend. Circl. Mat. di Palermo 9 (1895), 136-149. lxxx
Sulle frazioni continue algebriche periodiche.
Bortolotti E. : Atti delle R. Accad. dei Lincei Ser. 5 Vol. 8 (1) (1899), 28-33. xlviii2
Sulla convergenze delle frazioni continue algebriche.
Borwein D. & Borwein J. M. : Proc. Amer. Math. Soc. ?? (1994), ???-???. #151
On an intriguing integral and some series related to zeta(4).
Borwein D. & Borwein J. M & Girgensohn R. : Proc. Edinburgh Math. Soc. 38 (1995), 277-294. #151
Explicit evaluation of Euler sums.
Borwein D. & Borwein J. M. : The Ramanujan Journal 5 (2001), No.1, March, 73-89. O
Some Remarkable Properties of Sinc and Related Integrals.
Borwein D. & Borwein J. M. & Mares B. A. Jr. : The Ramanujan Journal 6 (2002), No.2, June, 189-208. O
Multi-Variable Sinc Integrals and Volumes of Polyhedra.
Borwein J. M. : Proc. Amer. Math. Soc. 95 (1985), 365-371. v
Some modular identities of Ramanujan useful in approximating Pi.
Borwein J. M. : Amer. Math. Monthly 98 No.8 (1991),735-739. O
Nested Radicals.
Borwein J. M. : The Math. Intelligencer 20 (1998), 14-15. O
Brouwer-Heyting Sequences Convergence. (50b. PI)
Borwein J.M. & Borwein P.B. : BIT 23 (1983), 538-540. xxx
A very rapidly convergent product expansion for Pi.
Borwein J.M. & Borwein P.B. : SIAM Rev. 26 (1984), 351-365. xl
The Arithmetic-Geometric Mean and fast computation of elementary functions.
Borwein J.M. & Borwein P.B. : SIAM Rev. 26 (1984), No.3, 351-365. Pi : A source book, 537-552.
The Arithmetic-Geometric Mean and fast computation of elementary functions.
Borwein J. M. & Borwein P. B. : Canad. Math .Bull. 27 (1984), 436-443. cxxiv / cxxxv
Cubic and hifher order algorithms for Pi.
Borwein J. M. & Borwein P. B. : Math. Comput. 46 (1986), 247-253. cxxiv
More quadratically converging algorithms for Pi.
Borwein J.M. & Borwein P.B. : Amer. Math. Monthly 94 (1987), No.6, 519-522. O
The Way of All Means.
Borwein J.M. & Borwein P.B. : Proc. Indian Acad. Sci. (Math. Sci.) 97 (1987), 53-59. O
Explicit Ramanujan-type approximations to pi of high order.
Borwein J.M. & Borwein P.B. : J. Indian Math. Soc. 51 (1987), 147-160. xlviii2 / lvii
Ramanujan´s rational and algebraic series for 1/Pi.
Borwein J. M. & Borwein P. B. : Scientific American 256 (1988), 112-117. Pi : A source book, 588-595.
Ramanujan and Pi.
Borwein J. M. & Borwein P. B. : Ramanujan Rev. , Proc. Cent. Conf. Univ. Illinois (1987), AP (1988), 359-374. O
More Ramanujan-type series for 1/pi.
Borwein J. M. & Borwein P. B. : Rocky Mountain J. Math. 19 (1989), No.1, 93-102. xxxix / xliii
Approximating Pi with Ramanujan "Solvable" Modular Equations.
Borwein J. M. & Borwein P. B. : Lect. Not. Math. No.1435 (1990), 27-31. O
A remarkable cubic mean iteration.
Borwein J. M. & Borwein P. B. : Trans. Amer. Math. Soc. 323 (1991), 691-701. v
A cubic counterpart of Jacobi´s identity and the AGM.
Borwein J. M. & Borwein P. B. : Amer. Math. Monthly 99 (1992), No.7, 622-640. O
Strange series and high precision fraud.
Borwein J. M. & Borwein P. M. : Notices Amer. Math. Soc. 39 (1992), 825-829. #160
Some observations on computer aided analysis.
Borwein J. M. & Borwein P. M. : J. Comput. Appl. Math. 46 (1993), No.1-2, 281-290. xxxix2 / upv-i1
Class number three Ramanujan type series for 1/Pi.
Borwein J. M. & Borwein P. B. : J. Number Theory 43 (1993), No.3, 293-318. c / cxviii
On the generatin function of the integer part :
Borwein J. M. & Borwein P. B. : J. Math. Anal. & Appl. 177 (1993), 572-582. #171
Inequalities for compound mean iterations with logarithmic asymptotes.
Borwein J.M. & Borwein P. B. & Bailey D. H.: Amer. Math. Month. 96 (1989), No.3, 201-219. O
Ramanujan, Modular Equations and Approximations to Pi, or How to compute one Billion digits of pi.
Borwein J.M. & Borwein P. B. & Bailey D. H. : Amer. Math. M. 96(1989), No.3, 201-219, Pi : A source book, 623-641.
Ramanujan, Modular Equations, and Approximations to Pi or How to Compute one Billon Digits of Pi.
Borwein J. M. & Borwein P. B. & Dilcher K.:Amer. Math. Monthly 96 No. 8 (1989), 681-687. O
Pi, Euler Numbers, and Asymptotic Expansions.
Borwein J. M. & Borwein P. B. & Dilcher K. : Amer. Math. M. 96 (1989), No.9, 681-687, Pi : A source book, 642-648.
Pi, Euler Numbers, and Asymptotic Expansions.
Borwein J. M. & Borwein P. M. & Garvan F. G. : Trans. Amer. Math. Soc. 343 (1994), No.1, 35-47. v
Some cubic modular identities of Ramanujan.
Borwein J. M. & Borwein P. B. & Jörgenson L. & Corless R. (eds.) : CMS cpNo. 20, 1997 Amer. Math. Scoiety. O
Organic Mathematics.
Borwein J. M. & Bradley D. M. : SIGSAM Bull. of Symbolic and Algebraic Manipulation. 30 (2) (1996), 2-7. cxlv
Searching symbolically for Apéry-like formulae for values of the Riemann zeta function.
Borwein J. M. & Bradley D. M. : Experimental Math. 6 (1997), 181-194. cxlvii & F.ps
Empirically determined Apéry-like formulae for zeta(4n + 3).
Borwein J. M. & Bradley D. M. & Crandall R. E. : J. Comput. & Appl. Math. 121 (2000), No.1-2, 247-296. #161
Computational strategies for the Riemann zeta function.
Borwein J. M. & Girgensohn R. : Canad. J. Math. 47 (1995), 262-273. lxxxii
Addition theorems and binary expansions.
Borwein J. M. & Zucker I. J. : IMA J. Numer. Anal. 12 (1992), 519-526. lxxv / cxiv
Fast evaluation of the gamma function for small rational using complete elliptic integrals of the 1º kind.
Borwein P. B. : Math. Scandinavica 53 (1983), 114-124. #156
Rational approximations to Stieltjes transforms.
Borwein P. B. : Construc. Approx. 4 (1988), 391-402. #157 / #152.
Padé approximants for the q-elementary functions.
Borwein P. B. : J. Number Theory 37 (1991), No.3, 253-259. cxxxv
On the irrationality of S(1/q^n+r).
Borwein P. B. : Math. Proc. Cambridge Philos. Soc. 112 (1992), 141-146. #163
On the Irrationality of Certain Series.
Borwein P.: CMS Conf. Proc. 27, Constructive. Experimental and. Non-linear Analysis 2000 AMS, ???-???. #166
An efficient algorithm for the Riemann zeta function.
Borwein P. & Erdelyi T. : The Ramanujan Journal 1 (1997), No.3, 309-323. O
Markov - and Berstein-Type Inequalities for Polynomials with Restricted Coefficients.
Bos M. K. & Misra K. C. : Comm. Algebra 22 (1994), No.10, 3965-3983. cii / cxix
Level two representations of A^2 /7 and Rogers-Ramanujan identities.
Bosma W. : Indag. Math. 49 (1987), 353-379. lx
Optimal continued fractions.
Bosma W. : Math. Comput. 54 (1990), No.189, 421-434. ci / cxix
Approximation by mediants.
Bosma W. & Jager H. & Wiedijk F. : Indag. Math. 45 (1983), 281-299. lx
Some metrical observations on the approximation by continued fractions.
Bosma W. & Kraaikamp C. : J. Number Theory 34 (1990), No.3, 251-270. xv
Metrical theory for optimal continued fractions.
Bosma W. & Kraaikamp C. : J. Austral. Math. Soc. Ser. A 50 (1991), No.3, 481-504. xiv
Optimal approximation by continued fractions.
Bottazzini U. : Springer Verlag 1986. O
The Higher Calculus : A History of Real and Complex Analysis from Euler to Weierstrass.
Bousquet-Mélou M. & Eriksson K. : The Ramanujan Journal 1 (1997), No.1, 101-111. O
Lecture Hall Partitions.
Bousquet-Mélou M. & Eriksson K. : The Ramanujan Jorunal 1 (1997), No.2, 165-185. O
Lecture Hall Partitions II.
Boutin A. : Mathesis (2) 17 (1897), 8-13. xxxvii / ?
Développement de root(x) en fraction continue.
Bowman D. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 155-165. O
Modified convergence for q-continued fractions defined by functional relations.
Bowman D. & Choi G. : J. Number Theory 85 (2000), No.2, December, 158-171. #167
Rational Approximation to a New Generalization of the Rogers-Ramanujan Continued Fraction.
Bowman D. & Choi G. : J. Math. Anal. & Appl. 243 (2000), No.2, March, 338-343. #167
G-continued fractions for basic hypergeometric functions.
Bowman K. O. & Shenton L. R. : Communications Stat. Simulat. & Comput. 16 (1987), No.4, 1189-1207. xciii / ???
Sums of powers of binomial coefficients.
Boyd D. W. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 301-308. O
Large factors of small polynomials.
Boylan M. : The Ramanujan Journal 5 (2001), No.4, December, 385-390. O
Congruences for 2F1 Hypergeometric Functions Over Finite Fields.
Boylan M. : Journal of Number Theory 92 (2002), No.1, January, 131-138. m-01
Congruences for 2t-Core Partition Functions.
Bracciali C. F. : B. C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 71-83. O
Relations between certain symmetric strong Stieltjes distributions.
Bracciali C.F. & Capela J.M.V. & Srin-Ranga A. : O. F., C. F. V 1996, Dekker LNPAM 199 (1998), 57-67. O
Symmetric orthogonal L-polynomials in the complex plane.
Braden B. : Amer. Math. Monthly 99 No.7 (1992), 649-655. O
Calculating Sums of Infinite Series.
Bradley H. C. : Amer. Math. Monthly 28 (1921), 305-307. #160
Question 45.
Bradley D. : Proc. Amer. Math. Soc. 121 (1994), No.4, 1145-1149. cii / cxix
On a claim of Ramanujan about certain hypergeometric series.
Bradley D. : Math. Proc. Cambridge Philos. Soc. 120 (1996), 391-401. lxxiv
Ramanujan´s formula for the logarithmic derivative of the gamma function.
Bradley D. M. : The Ramanujan Journal 3 (1999), No.2, June, 159-173. O
A Class of Series Acceleration Formulae for Catalan´s Constant.
Bradshaw J. W. : Amer. Math. Monthly 45 (1938), 352-363. xlv
Continued fractions and modified continued fractions for certain series.
Bradshaw J. W. : Amer. Math. Monthly 46 (1939), 486-492. #162
Modified series.
Bradshaw J. W. : Amer. Math. Monthly 49 (1942), 513-519. #162
Modified Continued Fractions.
Bradshaw J. W. : Amer. Math. Monthly 51 (1944), 389-391. #155
???.
Braess D. : J. Approx. Theory 40 (1984), 375-379. cxxiv
On the conjecture of Meinardus on rational approximation to e^a, II.
Brag H. E. : Annals. of Math. (2) 20 (1918), 177-186. lviii
Elementary properties of Stieltjes integrals.
Brambilla N. & Montaldi I. : Math. Balkanica (N.S.) 11 (1997), No.1-2, 153-168. #149
Remarks on some series considered by Ramanujan.
Branges L. de : Prentice-Hall 1968. O
Hilbert Spaces of Entire Functions.
Branges L. de & Rovnyak J. : Athena Series, Selec. Topics in Maths, Holt, Rinehart and Winston, 1966, 104pp. O
Square Summable Power Series.
Brannan D. A. : H. Clunie - Hayman (Eds.) : Symp.Complex Anal.. London Math. Soc. Lect. N.. Ser. 12 (1973), 17-27. #171
On Coefficient problems for certain power series.
Brauer A. & Macon N. : Amer. J. Math. 71 (1949), 349-361. cix
On the approximation of irrational numbers by the convergents of their continued fractions.
Brauer A. & Macon N. : Amer. J. Math. 72 (1950), 419-424. cix
On the approximation of irrational numbers by the convergents of their continued fractions. II.
Brauer F. : Amer. Math. Monthly 94 (1987), No.5, 453-455. O
A simplification of Taylor´s theorem.
Braun M. : 4th ed. TAM 11, 1993 Springer Verlag. O
Differential Equations and Their Applications.
Bremner A. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 87-91. O
On sums of three cubes.
Bremner A. & R. K. Guy : Amer. Math. Monthly 95 (1988), No.1, 31-36. O
A dozen difficult diophantine dilemmas.
Brendt R. P. : Austral Math. Soc. Gaz. 20 (1993), No.5, 149-155. lxxxix
An asymptotic expansion inspired by Ramanujan.
Brennan T. A. : The Fibonacci Quarterly 2 (1964), No.2, April, 93-103. O
Fibonacci powers and Pascal´s triangle in a matrix -- Part I.
Brennan T. A. : The Fibonacci Quarterly 2 (1964), No.3, October, 177-184. O
Fibonacci powers and Pascal´s triangle in a matrix -- Part II.
Brenner C. H. : J. Combin. Theory Ser. A 43 (1986), No.2, 303-319. xcviii
Asymptotic analogs of the Rogers-Ramanujan identities.
Brent R. P. : Journal of the Assoc. Comput. Machin. 23 (1976), No.2, 242-251. Pi : A source book, 424-433.
Fast multiple-precision evaluation of elementary functions.
Brent R. P. : Math. Comp. 31 (1977), 771-777. v
Computation of the regular continued fraction for Euler´s constant.
Brent R. P. & McMillan E. M. : Math. Comput. 34 (1980), No.149, 305-312. Pi : A source book, 448-455.
Some new algorithms for high-precision computation of Euler´s constant.
Brent R. P. & Van der Porten & te Riele H.J.J. : Proc. 2ª Intetn. Symp. Algorit. Num. T. Bordeaux 1996, 35-47. lxxix
A comparative study of algorithms for computing continued fractions of algebraic numbers.
Bressoud D. M. : J. London Math. Soc. (2) 16 (1977), 9-18. #159
Some identities involving Rogers-Ramanujan-type functions.
Bressoud D. M. : Thesis 1977. F
Proof and Generalization of Certain Identities Conjetured by Ramanujan
Bressoud D. M. : Pacific J. Math. 77 (1978), 71-74. cxxii
A new family of partition identities.
Bressoud D. M. : Proc. Amer. Math. Soc. 72 (1978), 89-94. cxxxii
Applications of Andrews basic Lauricella transformation.
Bressoud D. M. : J. Comb. Theory 27 (1979), 64-68. lxxx
A generalisation of the Rogers-Ramanujan identities for all moduli.
Bressoud D. M. : J. Reine Angew. Math. 305 (1979), 215-217. cxvi
On a partition theorem of Göllnitz.
Bressoud D. M. : Memoirs of the Amer. Math. Soc. 24 (1980), No.277, March, 54 pp. O
Analytic and combinatorial generalizations of Rogers-Ramanujan identities.
Bressoud D. M. : Proc. Amer. Math. Soc. 79 (1980), 338-340. cxvi
Combinatorial proof of Schur´s 1926 partition theorem.
Bressond D. M. : Quart. J. Math. (Oxford) (2) 31 (1980), 385-399. lxxxiv
An analytic generalisation of the Rogers-Ramanujan identities with interpretation.
Bressoud D. M. : Indiana Univ. Math. J. 29 (1980), 577-580. cxxviii
A simple proff of Mehler´s formula for q-Hermite polynomials.
Bressoud D. M. : J. Number Theory 12 (1980), 87-100. #172
Extension of the partition sieve.
Bressoud D. M. : Proc. London Math. Soc. (3) 42 (1981), 478-500. cxxviii
On partitions, orthogonal polynomials and the expansion of certain infinite products.
Bressoud D. M. : Math. Proc. Cambridge Philos. Soc. 89 (1981), 221-223. lxxviii
Some identities for terminating q-series.
Bressoud D. M. : J. Numb. Theory 16 (1983), 235-241. v
An easy proof of the Rogers-Ramanujan identities.
Bressoud D. M. : Proc. Amer. Math. Soc. 88 (1983), 446-448. cxxxii
A matrix inverse.
Bressoud D. M. : Illinois J. Math. 30 (1986), 185-196. xciv
Hecke modular forms and q-Hermite polynomials.
Bressoud D. M. : Proc. Indian Acad. Sci. (Math. Sci.): Ramanujan B.C.V. 97 (1987), 61-66. O
Almost poised basic hypergeometric series.
Bressoud D. M. : Ramanujan Revisited , Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 57-67. O
The Bailey lattice : An introduction.
Bressoud D. M. : Number Theory, Madras (1987), (ed.): K. Alladi, Lect. Notes Math. 1395 (1989), 140-172. O
Lattice paths and the Rogers-Ramanujan identities.
Bressoud D. M. : Number Theory and Related Topics, Bombay (1988), T.I.F.R. - O.U.P. (1989), 31-39. O
On the proof of Andrews´q-Dyson conjecture.
Bressoud D. M. : Ramanujan Inter. Symp. on Analysis, Pune 1987, ed. N.K. Thakare, Macmillan (1989), 97-115. O
Some directions for multiple hypergeometric series.
Bressoud D. M. : Proc. on q-series & partitions, March 7-11 1988, IMA Vol. 18, Springer (1989), 45-55. O
In the land of Oz.
Bressoud D. M. : Discrete Math. 99 (1992), No.1-3, 17-24. upv-il
Unimodality of Gaussian polynomials.
Bressoud D. M. : 1999 Mathematical Association of America & Cambridge University Press. O
Proofs and Confirmations, The Story of the Alternating Sign Matrix Conjecture.
Bressoud D. M. : The Ramanujan Journal 4 (2000), No.1, March, 69-80. O
Elementary Proofs of Identities for Schur Function and Plane Partitions.
Bressoud D. & Goulden I. P. : Trans. Amer. Math. Soc. 291 (1985), 203-228. cxxxii
Constant term identities extending the q-Dyson theorem.
Bressoud D. & Ismail M. E. H. & Stanton D. : The Ramanujan Journal 4 (2000), No.4, December, 435-453. O
Charge of Base in Baileys Pairs.
Bressoud D. M. & Plínio O. Santos J. & Mondek P. : The Ramanujan Journal 4 (2000), No.3, 311-315. O
A Family of Partition Identities Proved Combinatorially.
Bressoud D. M. & Zeilberger D. : Discrete Math. 38 (1982), 313-315. lvi
A short Rogers-Ramanujan bijection.
Bressoud D. M. & Zeilberger D. : Amer. Math. Monthly 92 (1985), 54-55. cxxi
A bijective proof of Euler´s recurrence for the number of partitions of an integer.
Bressoud D. M. & Zeilberger D. : Adv. in Math. 78 (1989), No.1, 42-75. cii / cxx
Generalized Rogers-Ramanujan bijections.
Breuer F. : The Ramanujan Journal 5 (2001), No.3, September, 311-317. O
Heights of CM Points on Complex Affine Curves.
Breusch R. : Michigan Math. J. 11 (1964), 311-315. cix
An asymptotic formula for primes of the form 4n+1.
Brezinski C. : Lect. Notes. Math. No. 584, Springer Verlag 1977. O
Accélération de la Convergence en Analyse Numérique.
Brezinski C. : 1978 Technip. O
Algorithmes d' Accélération de la Convergence :Étude Numérique.
Brezinski C. : H. Padé Oeuvres, Blanchard (1984), 7-54. O
Documents sur la vie et l´oeuvre de Henri Padé.
Brezinski C. : J. Computational & Appl. Math. 19 (1987), No.1, 67-74. xxvi
Successive modifications of limit periodic continued fractions.
Brezinski C. : Appl. Numer. Math. 4 (1988), No.2-4, 231-239. O
On the asymptotic behaviour of continued fractions.
Brezinski C. & Lembarki A. : J. Computational & Appl. Math. 19 (1987), 75-77. xxvi
The linear convergence of limit periodic continued fractions.
Brian R. : The Fibonacci Quarterly 2 (1964), No.4, December, 310-313. O
The problem of the little old lady trying to cross the busy street or Fibonacci gained and Fibonacci relost.
Briggs W. E. : Michigan Math. J. 3 (1955-1956), 117-121. lxxviii
Some constants associated with the Riemann Zeta-function.
Briggs W. E. & Buchman R. G. : Illinois J. Math. 5 (1961), 43-44. lxxviii
The power series coefficients of functions defined by Dirichlet series.
Briggs W. E. & Chowla S. : Amer. Math. Monthly 62 (1955), 323-325. lxxviii
The power series coefficients of zeta(s).
Briggs W.E. & Chowla S. & Kempner A.J. & Mientka W.E. : Scripta Mathematica 21 (1955), 28-30. lxxviii
On some infinite series.
Brigham E. O. : 8rd Impr. 1974 Prentice-Hall Inc. O
The Fast Fourier Transform.
Brigham N. : Proc. Amer. Math. Soc. 1 (1950), 182-191. #160
A general asymptotic formula for partition functions.
Brigham N. : Proc. Amer. Math. Soc. 1 (1950), 192-204. #160
On a certain weighted partition function.
Brillhart J. : The Fibonacci Quarterly 2 (1964), No.3, October, 220. O
Remarks on a second order recurring sequence.
Brillhart J. & Morton P. : Math. Comp. 65 (1996), 1379. lxxv / cxiv
Table Errata : Heinrich Weber, Lerhbuch der Algebra Vol. 3, •rd. ed. Chelsea N.Y. 1961.
Brindza B. : Publ. Math. Debrecen 53 (1998), No.1-2, 225-233. cv-3
On a generalization of the Ramanujan-Nagell equation.
Brindza B. & Erdös P. : J. Austral Math. Soc. Ser. A 51 (1991), No.1, 1-7. cxlvi
On some Diophantine problems involving powers and factorials.
Briot C. & Bouquet J. C. : 2nd ed. , 1er, Fascicule, Gauthier-Villars 1873. O
Théorie des Fonctions Elliptiques.
Briot C. & Bouquet J. C. : 2nd ed. 1875 Gauthier Villars. O
Théorie des Fonctions Elliptiques.
Broline D. M. : Amer. Math. Monthly 94 (1987), No.4, 380-381. O
Counting partitions.
Bromwich T. J. I´. A. : Mathematische Annalen 65 (1908), 350-369. cxxv
On the limit of certain infinite series and integrals.
Bromwich T. J. I´. A. : Proc. London Math. Soc. (2) 7 (1909), 101-106. cxli
An asymptotic formula for the generalized hypergeometric series.
Bromwich T. J. I'. A : 2nd. Ed. Macmillan 1926. O
An Introduction to the Theory of Infinite Series.
Bromwich T. J. I´. A. & Hardy G. H. : Proc. London Math. Soc. (2) 2 (1904), 161-189. cxli
Some extensions to multiple series of Abel´s theorem on the continuity of power series.
Bronstein M. : 1997 Springer Verlag. O
Symbolic Integration I : Transcendental Functions.
Brooke M. : The Fibonacci Quarterly 1 (1963), No.2, April, 60. O
Fibonacci formulas, Letter to the Editor.
Brooke M. : The Fibonacci Quarterly 2 (1964), No.2, April, 149-153. O
Fibonacci numbers : Their history through 1900.
Brother U. Alfred : The Fibonacci Quarterly 1 (1963), No.1, February, 34-42. O
Additional factors of the Fibonacci and Lucas series.
Brother U. Alfred : The Fibonacci Quarterly 1 (1963), No.1, February, 43-45. O
On the form of primitive factors of 43 Fibonacci numbers.
Brother U. Alfred : The Fibonacci Quarterly 1 (1963), No.1, February, 57-63. O
Exploring Fibonacci numbers.
Brother U. Alfred : The Fibonacci Quarterly 1 (1963), No.2, April, 81-84. O
Exploring recurrent sequences.
Brother U. Alfred : The Fibonacci Quarterly 1 (1963), No.3, October, 33-42. O
Periodic properties of Fibonacci summations.
Brother U. Alfred : The FibonacciQuarterly 1 (1963), No.3, October, 60. O
Exploring Fibonacci polygons.
Brother U. Alfred : The Fibonacci Quarterly 1 (1963), No.4, December, 43-46. O
On the ordering of the Fibonacci sequence.
Brother U. Alfred : The Fibonacci Quarterly 1 (1963), No.4, December, 53-56. O
Dying rabbit problem revived.
Brother U. Alfred : The Fibonacci Quaterly 1 (1963), No.4, December, 72. O
Exploring the Fibonacci representation.
Brother U. Alfred : The Fibonacci Qaurterly 2 (1964), No.1, February, 11-12. O
On square Lucas numbers.
Brother U. Alfred : The Fibonacci Qaurterly 2 (1964), No.1, February, 33-38. O
Primes which are factors of all Fibonacci sequences.
Brother U. Alfred : The Fibonacci Qaurterly 2 (1964), No.1, February, 42. O
Exploring Fibonacci residues.
Brother U. Alfred : The Fibonacci Quarterly 2 (1964), No.2, April, 81-92. O
Some determinants involving powers of Fibonacci numbers.
Brother U. Alfred : The Fibonacci Quarterly 2 (1964), No.2, April, 138. O
Exploring Fibonacci numbers with a calculator.
Brother U. Alfred : The Fibonacci Quarterly 2 (1964), No.3, October, 216. O
Exploring Fibonacci magic squares.
Brother U. Alfred : The Fibonacci Quarterly 2 (1964), No.4, December, 269-276. O
Continued fractions of Fibonacci and Lucas ratios.
Brother U. Alfred : The Fibonacci Quarterly 2 (1964), No.4, December, 318-319. O
Exploring geometric-algebraic Fibonacci patterns.
Brothers H. J. & Knox J. A. : Math. Intell. 20 (1998), No.4, 25-29. O
New Colsed-Form Approximations to the Logarithmic Constant e.
Brousseau Brother A. : The Fibonacci Quarterly 7 (1969), No.2, 143-168. O
Summation of Infinite Fibonacci Series.
Browkin J. & Schinzel A. : C. R. Acad. Sci. Paris 242 (1956), 1780-1781. #160
Sur les nombres de Mersennes qui sont triangulaires.
Brown G. & Hewitt E. : Math. Annalen 268 (1984), 91-122. cxxxviii
A class of positive trigonometric sums.
Brown G. & Yin Q. : Osaka J. Math. 33 (1996), No.4, 951-970. cxlvi
Metrical theory for Farey continued fractions.
Brown J. L. Jr : The Fibonacci Qaurterly 1 (1963), No.1, February, 3-15. O
A generalization of semi-completeness for integer sequences.
Brown J. L. Jr. : The Fibonacci Quarterly 2 (1964), No.3, October, 163-168. O
Zeckendorf´s theorem and some applications.
Brown M. & Ismail M. E. H. : Proc. Amer. Math. Soc. 123 (1995), 2071-2079. cxxxvii
A right inverse of the Askey-Wilson operator.
Bruce J. M. : Amer. Math. Monthly 49 (1942), 184-185. #162
Approximation to a circular arc.
Bruckman P. S. : The Fibonacci Quarterly 15 (1977), No.4, 293-310. O
On the Evaluation of certain Infinite Series by Elliptic Functions.
Bruggeman R. W. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 197-210. O
On the distribution of Dedekind sums.
Bruijn N. G. de : Duke Math. J. 17 (1950), 197-226. #160
The roots of trigonometric integrals.
Bruin M. G. de : J. Approx. Theory 24 (1978), 177-207. lxiv / cxiii
Convergence of generalized C-fractions.
Bruin M. G. de : J. Comp. Appl. Math. 9 (1983), 271-278. xxviii
New convergence results for continued fractions generated by four term recurrence relations.
Bruin M. G. de : Indag. Math. 51 (1989), No.4, 385-407. #149
Updown generation of Beatty sequences.
Bruin M.G. de & Driver K.A. & Lubinsky D.S. : Numer. Algorithms 3 (1992), No.1-4, 185-192. cxxix
Convergence of simultaneous Hermite-Padé approximants to then-tuple of q-hypergeometric series 1phi1.
Bruin M.G. de & Gilewicz J. & Runckel H.J. : Lect. Notes Math. (Rational Approx.), 1237 (1987), 1-23. cxxxi
A survey of bounds for the zeros of analytic functions obtained by continued fractions methods.
Bruin M. G. & Jacobsen L. : Lect. Notes Math. (Rational Approx.), 1237 (1987), 161-176. cxxxi
Modification of generalized continued fractions : I. Definition and application to the limit-periodic case.
Brun V. : Bull. Sci. Math. 43 (1919), 100-104 & 124-128. lxxvii
La Série 1/5 + 1/7 + 1/11 + 1/13 + 1/17 + 1/19 + 1/29 + 1/31 + 1/41 + 1/43 + 1/59 + 1/61 + ... où les dénomiateurs...
Brun V. & Knudsen F. F. : Math. Scand. 31 (1972), 231-236. #155
On the posibility of finding certain criteria for the irrationality of a number as a limit of a sequence of rational numbers
Brunel M. G. : Bordeaux 1886. F
Monographie de la Fonction Gamma.
Buchmann J. : Publ. Math. Debrecen 37 (1990), No.1-2, 109-114. xxiv
On generalized continued fraction expansion of period length.
Buck M. W. & Robbins D. P. : J. Number Theory 50 (1995), No.2, 335-344. xcix / cxviii
The continued fraction expansion of an algebraic power series satisfying a quadratic equation.
Buck R. C. : International Series in Pure and Applied Mathematics, 1956 McGraw-Hill. O
Advanced Calculus.
Buck R. C. (ed.) : MAA Studies in Math. Vol. 1 , 1962 Mathematical Association of America. O
Studies in Modern Analysis.
Buckholtz J. D. : Proc. Amer. Math. Soc. 14 (1963), 564-568. lv
Concerning an approximation of Copson.
Buell D. A. : 5º Conf. Cand. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 35-53. O
The last exhaustive computation of class groups of complex quadratic number fields.
Buell D. A. & Teitelbaum J. T. (Eds.) : 1998 AMS. O
Computational Perspectives on Number Theory.
Bugeaud Y. : The Ramanujan Journal 2 (1998), No.4, 449-457. O
Algebraic Numbers Close to 1 in Non-Archimedian Metrics.
Bühler W. K. : Math. Intell. 7 No.2 (1985), 35-40. O
The Hypergeometric Function - a biographical sketch.
Bühring W. : SIAM J. Math. Anal. 18 (1987), No.3, 884-889. cxxx
An analytic continuation of the hypergeometric series.
Bühring W. : SIAM J. Math. Anal. 18 (1987), 1227-1234. lxxv / cxi
The behaviour at unit argument of the hypergeometric function 3F2.
Bülent Ekin A. : J. Combinatorial Theory Ser. A 83 (1998), No.2, 283-289. #150
Inequalities for the crank.
Bultheel A. & Díaz-Mendoza C. & González-Vera P.&Orive R.:Berndt-Gesztesy :Cont.Math. 236 (1999), 85-100. O
Estimates of the rate of convergence for certain quadrature formulas on the half-line.
Bultheel A. & Diaz-Mendoza C. & Gonzalez-Vera P. & Orive R. : Math. Of Comput. 69 (2000), No.230, 721-747. #166
On the convergence of certain Gauss-type quadrature formulas for unbounded intervals.
Bultheel A. & González-Vera P. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Math. 236 (1999), 101-126. O
Wavelets by orthogonal rational kernels.
Bultheel A. & Gonzalez-Vera P. & Hendriksen E. & Njastad O. : C.F. IV 92, Dekker, LNPAM 154 (1994), 23-46. O
Reucrrence relations for orthogonal functions.
Bultheel A. & Gonzalez-Vera P. & Hendriksen E. & Njastad O. : C.F. V 96 Dekker, LNPAM 199 (1998), 69-100. O
Continued fractions and orthogonal rational functions.
Bultheel A. & Gonzalez-Vera P. & Hendriksen E. & Njastad O. : C.F.V96 Dekker, LNPAM 199 (1998), 101-110. O
Interpolation of Nevanlinna functions by rationals with poles on the real line.
Bultheel A. & Van Barel M. : Appl. Numer. Math. 4 (1988), No.2-4. O
A matrix Euclidean algorithm and the matrix minimal Padé approximation problem.
Bundschuh P. : Invent. Math. 6 (1969), 275-295. #159
Arithmetische Untersuchungen unendliche produkte.
Bundschuh P. : Invent. Math. 9 (1970), 175-184. #175
Ein satz über ganze funktionen und irrationalitätsaussagen.
Bundschuh P. : Math. Annalen 192 (1971), 229-242. cxxviii
Irrationalitätsmasse für e^a, a=/ 0 rational oder Liouville-Zahl.
Bundschuh P. : Portugalia Math. 33 (1974), No.1, 1-47. #165
Verschärfung eines Arithmetischen Satzes von Tschakaloff.
Bundschuh P. : J. Number Theory 18 (1984), 91-98. cxxxv
Transcendental continued fractions.
Bundschuh P. & Pethö A. : Monatsh. Math. 104 (1987), 199-223. #164
Zur transzendenz gewisser Reihen.
Bundschuh P. & Väänänen K. : Compositio Math. 91 (1994), 175-199. #158
Arithmetical investigations of a certain infinite product.
Bundschuh P. & Waldschmidt M. : Acta Arithm. 53 (1989), 289-307. lvi2
Irrationality results for the theta functions by Gel´fond-Schneider´s method.
Burchnall J. L. . Quart. J. Math. Oxford Ser. 3 (1932), 318-320. lxv
A relation between hypergeomretric series.
Burchnall J. L. : Quart. J. Math. (Oxford) 10 (1939), 145-150. cxli
The differential equations of Appell´s function F4.
Burchnall J. L. : Quart. J. Math. (Oxford) 12 (1941), 9-11. cxli
A note on polynomials of Hermite.
Burchnall J. L. : Quart. J. Math. (Oxford) 13 (1942), 90-106. cxli
Differential equations associated with hypergeometric functions.
Burchnall J. L. : J. London Math. Soc. 23 (1948), 253-257. cxlii
On the well-poised 3F2.
Burchnall J. L. : Proc. London Math. Soc. (3) 1 (1951), 232-240. cxlii
An algebraic property of the classical polynomials.
Burchnall J. L. & Chaundy T. W. : Quart. J. Math. (Oxford) 11 (1940), 249-270. cxli
Expansions of Appell´s double hypergeometric series.
Burchnall J. L. & Chaundy T. W. : Quart. J. Math. (Oxford) 12 (1941), 112-128. cxli
Expansions of Appell´s double hypergeometric functions. II.
Burchnall J. L. & Chaundy T. W. : Proc. London Math. Soc. (2) 50 (1949), 56-74. cxxix
The hypergeometric identities of Cayley, Orr and Bailey.
Burchnall J. L. & Lakin A. : Quart. J. Math. (Oxford) (2) 1 (1950), 161-164. cxxxix
The theorems of Saalschutz and Dougall.
Burge W. : Discrete Math. 34 (1981), 9-15. lxxxvi / upv-i1 / cv-2
A correspondance between partitions related to generalisation of the Rogers-Ramanujan identities.
Burger E. B. & Dubois E. : C. R. Acad. Sci. Paris Ser. I Math. 319 (1994), No.5, 421-426. xcv
Sur les quotients partiels de U-nombres dans un cops de series formelles (Laurent Series).
Burger E. B. & Ch. S. Kollett : The Fibonacci Quarterly Vol. 34 No. 3 (1996), 200-212. O
On the structure of quadratic irrationals associated with generalized Fibonacci and Lucas numbers.
Buger M. & Li J. S. & Sarnak P. : Bull. Amer. Math. Soc. (N.S.) 26 (1992), No.2, 253-257. ciii
Ramanujan duals and automorphic spectrum.
Burkhardt H. : Math. Annalen 70 (1911), 169-206. cxlvi
Über den Gebrauch divergenten Reihen in der zeit von 1750-1850.
Burkill J. C. : University Math. Text, 1956 Oliver and Boyd. O
The Theory of Ordinary Differential Equations.
Burkill J. C. : Cambridge University Press 1964. O
A First Course in Mathematical Analysis.
Burkill J. C. : Bull. London Math. Soc. 11 (1979), 59-103. liii
John Edensor Littlewood.
Burnside W. : Messenger of Math. 12 (1883), 154-157. liii
The elliptic functions of 1/3 K., & c.
Burnside W. : Messenger of Math. 46 (1917), 157-159. #171
A rapidly convergens series for log N!.
Burnside W. : Messenger of Math. 46 (1917), 159-???. #178
An approximate expression for Sum (1/(m+n)^r).
Burrows B. L. & Talbot R. F. : Amer. Math. Monthly 91 (1984), No.7, 394-403. Ó
Sums of Powers of Integers.
Burwell W. R. : Proc. London Math. Soc. 22(1924), 57-72. cxli
Asymptotic expansions of generalized hypergeometric functions.
Busbridge I. W. : J. London Math. Soc. 14 (1939), 93-97. cxlii
The evaluation of certain integrals involving products of Hermite polynomials.
Busbridge I. W. : J. London Math. Soc. 23 (1948), 135-141. cxlii
Some integrals involving Hermite polynomials.
Busbridge I. W. : Quart. J. Math. (Oxford) (2) 1 (1950), 176-184. cxxxix
On the integro-exponential function and the evaluation of some integrlas involving it.
Busby R. C. & Fair W. : J. Comput. Appl. Math. 54 (1994), No.3, 377-387. xcix / upv-i1
Quadratic operator equations and periodic operator continued fractions.
Buschman R. G. : Amer. Math. Monthly 67 (1960), 260-263. lxxviii
Some infinite series for zeta(2n+1).
Buschman R. G. : The Fibonacci Quarterly 1 (1963), No.4, December, 1-7, & 19. O
Fibonacci numbers, Chebyshev polynomials, generalizations and difference equations.
Buslaev V.I. & Gonchar A.A. & Suetin S.P. : Math. U.S.S.R. Sbornik 48 (1984), 535-540. cxxiv
On the convergence of subsequences of the nth row of a Padé table.
Bustoz J. : Proc. Amer. Math. Soc. 45 (1974), 69. cxxxvii
Note on " Positive Cesàro means of numerical series ".
Button J. O. : Journal of Number Theory 87 (2001), No.1, March, 77-95. m-01
Markoff Numbers, Pricipal Ideals and Continued Fraction Expansions.
Butzer P.L. & Markett C. & Schmidt M. : Resultate der Mathematiker 19 (1991), 257-274. #155
Stirling numbers, cnetrla fractional numbers, and representations of the Rieman zeta functions.
Byrd P. F. : The Fibonacci Quarterly 1 (1963), No.1, February, 16-28. O
Expansion of analytic functions in polynomials associated with Fibonacci numbers.
Cailler C. : Bull. Soc. Math. France (2) 30 (1906), 21-30. cxxviii
Une propieté de la serie hypergéometrique.
Cajori F. : Macmillan and Co. N.Y. 1904. O
An Introduction to the Modern Theory of Equations.
Calinger R. : Archives for history of Exac. Sci. 15 (1975-1976), No.3, 211-233. #155
Euler´s letters to a princes of germany as an expresion of his mature scientific outlook.
Calinger R. : Historia Mathematica 23 (1996), 121-166. #155
Leonhard Euler : The firts St. Peterburg Years (1727-1741).
Callas N.P. & Thron W.J. : J. Indian Math. Soc. 32 Supplement 1 (1968), 325-353. xxxvi
Singular points of certain functions represented by C-fractions.
Callas N. P. & Thron W. J. : Proc. Amer. Math. Soc. 33 (1972), 445-454. lxiii
Singularities of a class of meromorphic functions.
Candelpergher B. & Coppo M.A. & Delabaere E. : L´Enseignement Math. (2) 43 (1997), No.1-2, 93-132. cxlviii
La sommation de Ramanujan.
Cangelmi L. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 93-108. O
Construction of polynomials with some Frobenius groups as Galois groups.
Cantor D. G. : Acta Arith. 68 (1994), No.4, 295-305. xvii
On the continued fractions of quadratic surds.
Capparelli S. : J. Reine Angew. Math. 154 (1993), 335-355. cxvi
On some representation of twister affine Lie algebras and combinatorial identities.
Capparelli S. : Communications in Algebra 23 (1995), 2959-2969. #170
A combinatorial proof of a partition identity related to the level 3 representation of a twisted affine Lie algebra.
Capparelli S. : Trans. Amer. Math. Soc. 348 (1996), No.2, 481-501. #151
A construction of the level 3 modules for the Lie algebra A{(2)} and a new combinatorial identity of the R-R type.
Carathéodory C. : Vol. 1, Chelsea Publishing Co. 1958. O
Theory of Functions of a Complex Variable.
Carathéodory C. : Vol. 2, Chelsea Publishing Co. 1954. O
Theory of Functions of a Complex Variable.
Cargo G. T. : Complex Variables Theory & Appl. 13 (1989), No.1-2, 35-55. lxxxiv
Perfect approximant point of tanh z.
Carlitz L. : Duke Math. J. 3 (1937), 503-517. cxxv
An analogue of Von Staudt-Clausen theorem.
Carlitz L. : Duke Math. J. 7 (1940), 62-67. cxxv
An analogue of Von Staudt-Clausen theorem, II.
Carlitz L. : Duke Math. J. 8 (1941), 689-700. cxxv
The coefficients of the reciprocal of a series.
Carlitz L. : Duke Math. J. 22 (1955), 193-205. lxxviii
Congruences for generalized Bell and Stirling numbers.
Carlitz L. : Ann. Mat. Pure ed Appl. 41 (1955), 359-373. cix
Some polynomials related to theta functions.
Carlitz L. : Annali di Mat. Pura ed Appl. (4) 41 (1956), 359-373. ciii
Some polynomilas related to theta functions.
Carlitz L. : Duke Math. J. : 24 (1957), 521-527. cxxviii
Some polynomials related to theta functions.
Carlitz L. : Math. Nach. 17 (1958), 23-26. lxix
A note on the Rogers-Ramanujan identities.
Carlitz L. : Duke Math. J. 25 (1958), 311-319. cix
Some orthogonal functions in several variables related to theta functions.
Carlitz L. : Publicationes Mathematicae 5 (1958), 222-228. cxxxi
Note on orthogonal polynomials related to theta functions.
Carlitz L. : Annali di Math. (iv) 47 (1959), 243-251. lxxiv
Some formulas related to the Rogers-Ramanujan identities.
Carlitz L. : Duke Math. J. 27 (1960), 443-460. lxi
Some orthogonal polynomials related to elliptic functions.
Carlitz L. : Pacific J. Math. 10 (1960), 517-519. cxxii
Note on Alder´s polynomials.
Carlitz L. : Boll. Un. Mat. Ital. 18 (1963), 90-93. lxii3
Summation of a special 4F3.
Carlitz L. : Monat. für Math. 67 (1963), 305-310. cxxix
A q-identity.
Carlitz L. : The Fibonacci Quarterly 1 (1963), No.2, April, 17-28. O
A Fibonacci array.
Carlitz L. : Boll. Un. Mat. Ital. 19 (1964), 436-440. lxii3
The sum of the first n terms of an 5F4.
Carlitz L. : Amer. Math. Monthly 71 (1964), 41-44. xlv
Summation of certain series.
Carlitz L. : The Fibonacci Quarterly 2 (1964), No.1, February, 15-28. O
A note on Fibonacci numbers.
Carlitz L. : The Fibonacci Quarterly 2 (1964), No.3, October, 185-196. O
A partial difference equation related to the Fibonacci numbers.
Carlitz L. : Duke Math. J. 32 (1965), 713-720. ii
Note on some continued fractions of the Rogers-Ramanujan type.
Carlitz L. : Proc. Amer. Math. Soc. 16 (1965), 248-252. lxxxiii
The coefficients in an asymptotic expansions.
Carlitz L. : Proc. Amer. Math. Soc. 7 (1956), 558-564. #168
The expansion of certain products.
Carlitz L. : Monat für Math. 73 (1969), 193-198. lxxiv
Some formulas of F. H. Jackson.
Carlitz L. : The Fibonacci Quarterly 9 (1971), No.5, 449-466 & 510-511. O
Reduction Formulas for Fibonacci Summations.
Carlitz L. : Duke Math. J. 39 (1972), 31-37. lvii
Some identities in combinatorial analysis.
Carlitz L. : Duke Math. J. 39 (1972), 793-799. iii
Some continued fraction formulas.
Carlitz L. : Duke Math. J. 40 (1973), 893-901. cxxxi
Some inverse relations.
Carlitz L. : SIAM J. Appl. Math. 8 (1977), 320-336. #152
Some expansions and convolution formulas related to MacMahon´s theorem.
Carlitz L. & Subbarao M. V. : Proc. Amer. Math. Soc. 32 (1972), 42-44. liv
On the quintuple product identity.
Carlitz L. & Subbarao M. V. : Duke Math. J. 39 (1972), 165-172. cxxii
On a combinatorial identity of Winquist and its generalisation.
Carlson B. C. : Amer. Math. Monthly 78 (1971), 496-505. cxxiv
Algortihms involving artihmetic and geometric means.
Carlson B. C. : Amer. Math. Monthly 79 (1972), 615-618. cxxiv
The logarithmic mean.
Carlson B. C. : Amer. Math. Monthly 82 (1975), 379-382. cxxiv
Invariance of an integral average of a logartihm.
Carlson B. C. : SIAM J. Math. Anal. 9 (1978), 524-528. cxxxiii
Short proofs of three theorems on elliptic integrals.
Carlson B. C. : Rend. Sem. Mat. Univers. Politecn. Torino Special Issue (1985), 63-89. lxxxiii
The hypergeometric function and the R-function near their branch points. Inter. Conf. Spec. Funct. Theory & Comp.
Carlson F. : Nyt Tidsskrift for Matematik (Ser. B ) 28 (1917), 81-88. cxxv
Une remarque sur la transformation de series sommables en séries convergentes.
Carlson F. : Opuscula Math. 11/2 (1930), 167-174. O
Sur quelques fractions continues.
Carmichael R. D. : Amer. J. Math. 34 (1912), 147-168. cxxxii
The general theory of linear q-difference equations.
Carmichael R. D. : Tohoku Math. J. 11 (1917), 191-199. cxlvi
Note on convergence test applicable to series converging conditionally.
Carmichael R. D. : Bull. Amer. Math. Soc. 25 (1918), 97-131. cxlvi
General aspects of the theory of summable series.
Carpi A. & Luca A. de : Séminaire Lotharingien de Combinatoire 42 (1998), B42l, 24pp. F.ps
Words and Repeated Factors.
Cartier P. : Astérisque 206 (1992), 41-91. #172
Démonstration "automatique" d´identités et fonctions hypergéometríques [ d´apres D. Zeilberger ].
Caruso F. : Séminaire Lotharingien de Combinatoire 43 (1999), S43c. 8pp. F.ps
A Macsyma Implementation of Zeilberger´s Fast Algorithm.
Cassels J.W.S. & Fröhlich A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 9-25. O
Hans Arnold Heilbronn 8 October 1908 - 28 April 1975. Elected F.R.S. 1971.
Castellanos D. : Mathematics Magazine 61 (1988), 67-98. lxxix / ??
The Ubiquitous Pi. Part I.
Castellanos D. : Mathematics Magazine 61 (1988), 148-163. lxxix
The Ubiquitous Pi. Part II.
Castro-Smirnova M. : Journal of Approximation Theory 115 (2002), No.1, March, 100-119. m-01
Convergence Conditions for Vector Stieltjes Continued Fractions.
Catalan E. : Nouv. Ann. Math. 4 (1845), 126-130. xxxvii
Sur les fractions continues périodiques.
Catalan E. : Nouv. Ann. Math. 4 (1845), 257-259. xxxvii
Lettre sur les fractions continues.
Catalan E. : Nouv. Ann. Math. 4 (1845), 405-409. xxxvii
Sur les fractions continues.
Catalan E. : Nouv. Ann. Math. 8 (1849), 154-202. xxxvii
Théorie des fractions continues.
Catalan E. : Giornal di Mat. di Battaglini 31 (1893), 314-339. lxvi
Théorie des nombres et fractions continues.
Cayley A. : Philos. Trans. 164 (1874), 397-456. xlviii2
A memoir on the transformations of elliptic functions.
Cayley A. : Messenger of Math. (2) 7 (1878), 69. lxxi-15
An Identity.
Cesàro E. : Nouv. Ann. Math. Ser.3ª 6 (1887), 29-36. xxiii
Sur quelques fractions continues.
Cesàro E. : Bull. Sciences Math. (2) 14 (1890), 114-120. lxi / ?
Sur la multiplication de series.
Cesàro E. : Mathesis 12 (1892), 5-17. lxiii
Remarques sur un continuant.
Chai C.-L. : Proc. Symp. Pure Math. 49 part 2, Theta Functions Bowdoim 1987, A.M.S. (1989), 19-44. O
Arithmetic compactification of the Siegel moduli space.
Chakravarti G. : Bull. Calcuta Math. Soc. 24 (1932), 79-88. cxl
???.
Chalk J. H. H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 45-46. O
Hans A. Heilbronn : Toronto Days, 1964-1975.
Chalk J. H. H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 589-591. O
The Papers on the Geometry of Numbers.
Chan H. H. : Thesis University of Illinois at Urbana-Champaign, 1995, viii + 122pp. T-1-2.
Contributions to Ramanujan's Continued Fractions, Class Invariants, Partitions Identities and Modular Equations.
Chan H. H. : Acta Arithm. 73 (1995), No.4, 343-355. xxii
On Ramanujan´s cubic continued fraction.
Chan H. H. : J. Number Theory 53 (1995), 144-159. #159
New proofs of Ramanujan´s partition identities for moduli 5 and 7.
Chan H. H. : J. Math. Anal. & Appl. 198 (1996), No.1 (Feb 15), 111-120. xx / lxxvi
On the equivalence of Ramanujans partition identities and a connection with the Rogers-Ramanujan Continued Fract.
Chan H. H. : J. London Math. Soc. 57 (1998), 545-561. lxxix / cxlviii
Ramanujan-Weber class invariants Gn and Watson´s empirical process.
Chan H. H. : Math. Proc. Cambridge Philos Soc. 124 (1998), No.2, 193-204. lxxiv / cxlviii
On Ramanujan´s cubic transformation for 2F1(1/3,2/3;1;z).
Chan H. H. & Gee A. & Tan V. : .#175
Cubic singular moduli, the Rogers-Ramanujan continued fraction and special values of theta functions.
Chan H. H. & Huang S. -S. : The Ramanujan Journal 1 (1997), No.1, 75-90. O
On the Ramanujan-Göllnitz-Gordon Continued Fractions.
Chan H. H. & Lang M. L. : Israel J. Math. 103 (1998), 1-16. cxlviii
Ramanujan´s modular equations and Atkin-Lehner involutions.
Chan H. H. & Liaw W. C. : Pacific J. Math. 192 (2000), No.2, 219-238. #164
Cubic modular equations and new Ramanujan-type series.
Chan H. H. & Liaw W. C. : Canadian J. Math. ?? (2000-2001), ???-???. #165/#175
On Rusell-type modular equations.
Chan H. H. & Ong Y. L. : Proc. Amer. Math. Soc. 127 (1999), 1735-1744. #152
Some identities associated with Sum (m,n=-inf--inf) (q^m^2+mn+n^2).
Chan H. H. & Tan V. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 127-136. O
On the explicit evaluations of the Rogers-Ramnujan continued fraction.
Chandrasekhar S. : Ramanujan Revisited, Proc. Centenary Conference , Univ. Illinois (1987), AP (1988), 1-6. O
On Ramanujan.
Chandrasekharan K. : Math. Student 24 (1956), 251-267. xxxvi
T. Vijayaraghavan.
Chandrasekharan K. & Minakshisundaran S. : Oxford University Press. 1952. O
Typical Means.
Chandrasekharan K. & Narasimhan R. : Ann. Math. 74 (1961), 1-23. lxi
Hecke´s functional equation and arithmetical identities.
Chapman R. : Séminaire Lotharingien de Combinatoire 43 (1999), Article B43c, 4pp. F.ps
On a septuple product identity.
Chapman R. : The Ramanujan Journal 5 (2001), No.3, September, 271-279. O
Coefficients of Products of Powers Eta Functions.
Char B. W. : Math. Comp. 34 (1980), 547-552. v
On Stiltjes´continued fraction for the gamma function.
Charves L. : Bull. Sciences Math. et Astro. (2) 1 (1877), 41-43. lxiii
Demostration de la périodicité des fractions continues engendrées par les racines d´une équation 2ª.
Châtelet A. : C. R. Acad. Sci. Paris 148 (1909), 1746-1749. xxxvii
Sur une extension de la théorie des fractions continues.
Châtelet A. : C. R. Acad. Sci. Paris 150 (1910), 769-772. xxxvii
Sur une transformation de fractions continues arithmétiques.
Châtelet A. : C. R. Acad. Sci. Paris 150 (1910), 1101-1104. xxxvii
Sur la sommation des fractions continues arithmetiques.
Châtelet A. : Bull. Soc. Math. France 40 (1912), 1-25. xxiv
Contribution à la théorie des fractions continues arithmetiques.
Chaundry T. W. : J. London Math. Soc. 26 (1951), 42-44. cxxxviii
Some hypergeometric identities.
Chaundy T. W. : J. London Math. Soc. 37 (1962), 126-128. cxxxvi
Frank Hilton Jackson.
Chave A. D. : Geophysics 48 (1983), No.12, 1671-1686. xcviii
Numerical integration of related Hankel transformation by quadrature and continued fraction expansion.
Cheema M. S. : Math. of Comput. 18 (1964), 414-420. cxxxvii
Vector partitions and combinatorial identities.
Cheema M. S. & Gordon B. : Duke Math. J. 31 (1964), 267-273. cxxii
Some remarks on two-and three-line partitions.
Cheema M. S. & Motzkin T. S. : Proc. Symposia Pure Math. AMS 19 (1991), 39-70. #172
Multipartitions and multipermutations. Combinatorics.
Chellali M. : J. Number Theory 28 (1988), 347-362. xxxix2 / cx
Accélération du calcul de nombres de Bernoulli.
Chelst D. : B. C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 137-148. O
Absence of phase transsitions in modified two-component plasmas : The analytic theory of cont. fract in stat. mechanic
Chen J. H. : J. Number Theory 48 (1994), No.1, 62-74. ci / cxx
A new solution of the Diophantine equation x^2 + 1 = 2 Y^4.
Chen K. J. & Srivastava H. M. : Journal of Combinatorial Theory 95 (2001), No.2, August, 381-386. m-01
a Generalization of Two q-Identities of Andrews.
Chen S. G. & Hsieh P. Y. : Comput. & Math. Appl. 17 (1989), No.10, 1423-1427. ci / cxx
Fast computation of Nth. root.
Chen X. & Le M. H. : Publ. Math. Debrecen 49 (1996), No.1-2, 85-92. cv-3
On the number of solutions of the generalized Ramanujan-Nagell equation x^2-D=k^n.
Chen Y. G. & Ruzsa I. M. : Periodica Math. Hungarica 38 (1999), No.1-2, 31-37. #159
On the Irrationality of certain series.
Chen Y. G. & Zhu Y. C. : J. Number Theory 82 (2000), No.1, May, 1-11. #167
On the Prime Power Factorization of n!.
Cherry T. M. : Proc. Cambridge Phil. Soc. 46 (1950), 436-449. xciii
Summation of slowly convergent series.
Chihara T. S. : Proc. Amer. Math. Soc. 108 (1990), No.3, 775-780. xcvi
The parameters of a chain sequence.
Chihara T. S. : Journal of Computational and Applied Mathematics 133 (2001), Issue 1-2, 1 August, 13-21. m-01
45 years of orthogonal polynomials : a view from the wings.
Chikhanov Kh. A. : Differential Equations 25 (1989), No.10, 1207-1210. cxxiii
Hypergeometric series and Fuchsian systems.
Chirskii V. G. : Russian Math. Surveys 46 (1991), No.6, 217-218. cxxix
Global relations and hypergeometric series.
Chiu P. : Combinatorica 12 (1992), No.3, 275-285. civ
Cubic Ramanujan graphs.
Chocholaty P. : Rev. Analyse Numerique et Theorie Approx. 23 (1994), No.1, 55-62. xcv
A modelling by rational approximations.
Choe B. R. : Amer. Math. Monthly 94 (1987), No.7, 662-663. O
An Elementary Proof of Sum (1/n^2) = Pi^2 / 6.
Choi J. & Srivastava H. M. : J. Math. Anal. & Appl. 206 (1997), 103-120. #159
Sums associated with the zeta function.
Choi J. & Srivastava H. M. & Quine J. R. : Bull. Austral. Math. Soc. 51 (1995), 383-393. #160
Some series involving the zeta function.
Choi K.K. & Vaaler J.D. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta ... (Eds.), 1999 AMS, 55-65. O
Diophantine aproximation in projective space.
Choi K. P. : Proc. Amer. Math. Soc. 121 (1994), No.1, 245-251. cii / cxix
On the medians of gamma distributions and an equation of Ramanujan.
Choi Y. S. : Thesis 1999. F
Tenth Order Mock Theta Functions in Ramanujan´s Lost Notebook.
Choi Y. S. : Inventiones Math. 136 (1999), No.3, 497-569. #166
Tenth order Mock theta function in Ramanujan´s Lost Notebook.
Choi Y. S. : Adv. In Math. 156 (2000), No.2, December, 180-285. #167 / m-01-pdf
Tenth Order Mock Theta Functions in Ramanujan´s Lost Notebook. II.
Choudhary B. : 1983 Wiley Eastern Ltd. New Delhi. O
The Elements of Complex Analysis.
Chow T. Y. & Long C. D. : The Ramanujan Journal 3 (1999), No.1, 55-72. O
Additive Partitions and Continued Fractions.
Chowla C. & Hawkins D. : J. Indian Math. Soc. 26 (1962), 115-124. #173
Asymptotic expansions of some series involving Riemann zeta function.
Chowla P. & Chowla S. : Proc. Nat. Acad. Sci. 69 (1972), 37-48. xxx
Problems on periodic simple continued fractions.
Chowla S. D. : J. Indian Math. Soc. 17 (1927-1928), 153-163. #160
On some identities involving zeta-functions.
Chowla S. D. : J. Indian Math. Soc. 17 (1927-1928), 166-171. #160
Solution and Remarks on Question 770.
Chowla S. D. : J. Indian Math. Soc. 17 (1927-1928), 261-288. xlvii2 / ?
Some infinite series, definite integrals and asymptotic expansions.
Chowla S. D. : Tôhoku Math. J. 30 (1928), 202-225. #160
Some applications of the Riemann zeta and allied functions.
Chowla S. D. : Tôhoku Math. J. 30 (1928), 226-234. #160
Some formulae of the Gauss sum type.
Chowla S. D. : Tôhoku Math. J. 33 (1931), 1-2. #160
On a conjecture of Ramanujan.
Chowla S. D. : J. London Math. Soc. 9 (1934), 247. #160
Congruence properties of partitions.
Chowla S. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 598.-599. O
Commentary : On Real Characters, (Heilbronn).
Chowla S. & Pillai S. S. : J. London Math. Soc. 6 (1931), 85-89. #149
Periodic simple continued fractions.
Christoffel E. B. : Annali di Mat. Pura ed Appl. (2) 8 (1877), 1-10. lxxxiv
Sur une classe particuliére de fonctions entiéres et de fractions continues.
Christoffersson P. et al. : North-Holland 1988. O
Crypto User's Handbook.
Christophe L. M. Jr. & Finn M. V. & Crow J. A. : Mathematics Magazine 59 (1986), 176-178. #171
Two series involving zeta function values.
Chu W. : Séminarie Lotharingien de Combinatoire 29 (1992), B29c, 11pp. F.ps
Inverse Series Relations, Formal Power Series and Blodgett-Gessel´s Type Binomial Identities.
Chu W. C. : Boll. Unione Mat. Italiana (7) 7-B (1993), 737-760. cxxiii
Inversion techniques and combinatorial identities.
Chu W. C. : Composition Math. 91 (1994), No.2, 121-144. cxxxi
Inversion techniques and combinatorial identities : Strange evaluations of basic hypergeometric series.
Chu W. C. : Compositio Mathematica 95 (1995), 43-68. #156
Inversion techniques and combinatorial identities - Jackson´s q-analogue of the Dougall-Dixon theorem...
Chu W. C. : Proc. Amer. Math. Soc. 124 (1996), No.12, 3753-3754. cii / cxix
Note on the Bradley and Ramanujan summation.
Chu W. : Memoir No. 642, American Mathematical Society 1998. O
Basic Almost-Poised Hypergeometric Series.
Chu W. : Acta Scientarum Math. (Szeged) 64 (1998), No.3-4, 495-513. cxlvi
Partial-fraction expansions and well-poised bilateral series.
Chu W. : Glasnik Matematicki Serija III 33 (53) (1998), No.1, 1-12. #149
Generating functions and combinatorial identities.
Chu W. : The Ramanujan Journal 3 (1999), No.1, 83-89. O
Finite Differences and Orthogonal Polynomials.
Chua K. S. : The Ramanujan Journal 5 (2001), No.4, December. 353-354. O
Circular Summation of the 13th Powers of Ramanujan's Theta Function.
Chudnovsky D. V. & Chudnovsky G. V. : J. Complexity 2 (1986), 271-294. cv
On expansion of algebraic functions in power and Puisseaux series. I.
Chudnovsky D. V. & Chudnovsky G. V. : J. Complexity 3 (1987), 1-25. cv
On expansion of algebraic functions in power and Puisseaux seires. II.
Chudnovsky V. & Chudnovsky G.V. : Ramanujan Revisited, AP, 1988, 375-396, 468-472, Pi: A source book, 597-622.
Approximations and complex multiplication according to Ramanujan.
Chudnovsky V. & Chudnovsky G.V. : Ramanujan Rev., Proc. Cent. Conf. Univ. Illinois 1987, AP 1988, 375-472. O
Approximations and complex multiplication according to Ramanujan.
Chudnovsky D. V. & Chudnovsky G. V. : Lect. Not. Math. No.1383 (1989), 12-49. O
Computational problems in arithmetic of differential equations. some diophantine applications.
Chudnovsky D.V. & Chudnovsky G.V. : Proc. Symp. Pure Math. 49 part 2, T. F. 1987, AMS (1989), 167-232. O
Transcendental methods and theta-functions.
Chudnovsky D. V. & Chudnovsky G. V. : Number Theory N. Y. Sem. 1989-1990, Springer 1991, 13-74. lxxxvii / O
Classical constants and functions : Computations and continued fraction expansions.
Chudnovsky D. V. & Chudnovsky G. V. : Acta Appl. Math. 36 (1994), No.1-2, 167-185. lxxxi-1
Explicit continued fractions and quantum gravity.
Chudnovsky G. V. : Math. Suerv. And Monographs No.19, American Mathematical Society, 1984. O
Contributions to the Theory of Transcendental Numbers.
Chung F. & Graham R. : 1999 AK Peters. O
Erdös on Graphs, His Legacy of Unsolved Problems.
Chung K.L. - Chen W.C. - Lin F.C.: Information. Processing Letters 33 (1989), No.2, 67-72. xxiv
Fast computation of periodic continued fractions.
Churchhouse R.F. & Muir S.T.E. : J. Inst. Math. & Appl. 5 (1969), 318-328. l
Continued fractions, algebraic numbers and modular invariants.
Churchhouse R. F. : Proc. 3º Cariben Conf. in Comb. & Comput. Barbados 1981, 1-14. lxxi / ?
Continued fractions of the Rogers-Ramanujan type.
Cigler J. : Monatsch. Math. 88 (1979), 87-105. #172
Operatormethoden für q-identitäten.
Cigler J. : Séminaire Lotharingien de Combinatoire 5 (1981), B05a, 29pp. F.ps
Elementare q-Identitäten.
Cigler J. : Monatsch. Math. 91 (1981), 105-117. #172
Operatormethoden für q-identitäten : q-Laguerre-polynome.
Clarke R. J. & Foata D. : Séminarie Lotharingien de Combinatoire 32 (1994), B32b, 12pp. F.ps
Eulerian Calculus, IV : Specializations.
Clausen T. : J. Reine Angew. Math. 3 (1828), 87-88. xlix
Die funktion 1/a+ 1/a+ 1/a+. . . durch die anzahl der a ausgedrückt.
Clausen T. : J. Reine Angew. Math. 3 (1828), 89-91. xlix
Ueber die Fälle, wenn die Reihe von der Form y= 1 + a/1.b/c. x + ...
Clausen T. : J. Reine Angew. Math. 3 (1828), 92-95. xlix
Beitrag zur Theorie der Reihen.
Clausen T. : J. Reine Angew. Math. 5 (1830), 380-382. lxxix
Über die summe der Reihen 1 + 1/2^3 + 1/3^3 + 1/4^4 + ... und 1 + 1/7^2 + 1/13^2 + 1/19^2 + ... .
Clausen T. : Nouv. Ann. Math. 5 (1846), 203-204. lxiii
Détermination de la fraction continue à un terme, en fraction du nombre des fractions.
Cochran L. & Cooper S.C. : Proc. C. F. & O. F., Norway 1992, Dekker LNPAM 154 (1994), 47-100. O
Orthogonal Laurent polynomials on the real line.
Cochran L. & Cooper S. C. : Proc. O. F., M. T. & C. F. V, Brazil 1996, Dekker LNPAM 199 (1998), 111-141. O
Symmetric orthogonal Laurent polynomials.
Codeca P. : Illinois J. Math. 35 (1991), No.2, 349-356. ciii
A note on Ramanujan coefficients of arithmetical functions.
Cohen A. M. : B. Engquist & W. Schmid : Mathematics Unlimited 2001 and Beyond. Springer 2001. 283-300. O
Communicating Mathematics Across the Web.
Cohen E. : Duke Math. J. 16 (1949), 85-90. #160
An extension of Ramanujan´s sum.
Cohen E. : Duke Math. J. 22 (1955), 543-550. #160
An extension of Ramanujan´s sum. II Additive properties.
Cohen E. : Duke Math. J. 23 (1956), 623-630. #160
An extension of Ramanujan´s sum. III
Cohen E. : Amer. Math. Monthly 66 (1959), 105-117. xxxvi
Trigonometric sums in elementary number theory.
Cohen E. : Math. Student 28 (1960), 29-32. xxxvi
A trigonometric sum.
Cohen H. : Acta Arithmetica 26 (1974), 129-148. #173
Multiplication par un entier d'une fraction continue periodique.
Cohen H. : Sém. Théorie des Nombres Grenoble 1978 9pp. xcii
Demostration de l´irrationalité de zeta(3) (d´aprés R. Apéry).
Cohen H. : Bull. Soc. Math. France 109 (1981), 269-281. lvi
Généralisation d´une construction de R. Apéry.
Cohen H. : Indagationes Math. 88 (1985), 377-383. #172
On the p^k-rank of finite abelian groups and Andrews's generalizations of the Rogers-Ramanujan identities.
Cohen H. : Sem. Theorie des Nombres Bordeaux 15 (1986-1987), 1-11. cxxvi
Sur une fuasse forme modulaire liee a des identities de Ramanujan et Andrews.
Cohen H. : The Fibonacci Quarterly 37 (1999), No.2, May, 117-121. O
On the-adic valuations of the Truncated Polylogarithm Series.
Cohen H. : B. Engquist & W. Schmid : Mathematics Unlimited, 2001 and Beyond. Springer 2001. 301-330. O
Computational Aspects of Number Theory.
Cohen H. & Lewin L. & Zagier D. : Experimental Math. 1 (1992), No.1, 25-34. F.ps
A sixteenth-order Polylogarithm Ladder.
Cohn E. L. : Proc. 1ª Conf. Canad. Num. Theo. Ass. (Gruyter 1990), 81-92. O
On the Ramanujan-Nagell equation and its generalizations.
Cohn H. : Math. Comp. 38 (1982), 227-236. xxxix2 / cxii
An explicit modular equation in two variables and Hilbert´s twelfth problem.
Cohn H. : Math. Comp. 51 (1988), 787-807. xxxix2 / cxii
Fricke´s two-valued modular equations.
Cohn H. : Proc. Coll. Comp. Number. Theory Debrechen 1989 / WdeG 1991, 213-225. xxxix2 / cx
Computation of singular moduli by multi-valued modular equations.
Cohn H. : Lect. Not. Math. No.1383 (1989), 50-58. O
Iteration of two-valued modular equation.
Cohn H. : Proc. Symp. Pure Math. 49 part 2, Theta Functions Bowdoin 1987, A.M.S. (1989), 233-249. O
Singular moduli and modular equations for Fricke´s cases.
Cohn H. : D. V. Chudnovsky... (eds.): Number Theory New York Seminar 1989-1990, Springer (1991), 75-83. O
Some special complex multiplications in two variables using Hilbert singular moduli.
Cohn H. (ed.) : Contemporary Mathematics No. 149, Amer. Math. Soc. 1993. O
Doeblin and Modern Probability.
Cohn H. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 109-121. O
Minimality bounds for traces of Markoff matrices.
Cohn H. & Deutsch J. : Math. Comp. 50 (1988), 557-568. xxxix2 / cxii
An explicit modular equations intwo variables for Q(sqr(3)).
Cohn H. & Knopp M. I. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 9-34. O
Application of Dedekind Eta-multipliers to modular equations.
Cohn J. H. E. : The Fibonacci Quarterly 2 (1964), No.2, April, 108. O
Letter to the editor.
Cohn J. H. E. : The Fibonacci Quarterly 2 (1964), No.2, April, 109-113. O
Square Fibonacci numbers, etc.
Cohn J. H. E. : Acta Artihmetica 65 (1993), 367-381. #171
The Diophantine Equation x^2 + c = y^n.
Cohn R. M. : InterScience Pub. - John Wiley & Sons 1965. O
Difference Algebra.
Conn W. & Vaserstein L. N. : The Rademacher Legacy to Math., Contemp. Math. A.M.S. 166 (1994), 285-294. O
On sums of three integral cubes.
Conney B. & Ghosh A. : Amer. Math. Monthly 95 No.6 (1988), 528-533. O
On the Zeros of the Taylor Polynomials Associated with the Exponential Function.
Connor W. G. : Trans. Amer. Math. Soc. 214 (1975), 95-111. xxxix2 / cviii
Partition theorems related to some identities of Rogers and Watson..
Conrey J. B. : B. Engquist & W. Schmid : Mathematics Unlimited, 2001 and Beyond. Springer 2001. 331-352. O
L-Functions and Random Matrices.
Conrey J. B. & Ghosh A. : Invent. Math. 94 (1988), No.2, 403-419. cii / cxix
Simple zeros of the Ramanujan tau-Dirichlet series.
Conway J. H. : 2nd ed. 2001 AK Peters Ltd. O
On Number and Games.
Cook R. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 123-131. O
Factors of odd perfect numbers.
Cook R. J. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 67-71. O
Bounds for odd perfect numbers.
Cook S. A. & Aanderaa S. O. : Trans. Amer. Math. Soc. 142 (1969), 291-314. cxxvii
On the minimum computation of functions.
Cooley J. W. & Tukey J. W. : Math. Comput. 19 (1965), No.90, 297-301. lxxxvii / cxvi
An algorithm for the machine calculation of complex Fourier series.
Cooper C. : Amer. Math. Monthly 93 (1986), No.2, 126-127. Ó
Geometric series and a probability problem.
Cooper S. & Hirschhorn M. D. & Lewis R. : The Ramanujan Journal 4 (2000), No.2, June, 137-155. O
Powers of Euler´s Product and Realted Identities.
Cooper S. C. : Proc. Analytic Theory Continued fractions II 1985, Lect. Notes Math. 1199 (1986), 21-36. O
on M-tables associated with strong moment problems.
Cooper S. C. : Proc. Analytic Theory Continued Fractions III 1988, Lect. Notes Math. 1406 (1989), 1-17. O
delta-fraction solutions of Riccati equations.
Cooper S. C. & Gustafson P. E. : Proc. O. F., M. T. & C. F. V, Brazil 96, Dekker LNPAM 199 (1998), 143-150. O
Interpolating Laurent polynomials.
Cooper S. C. & Jones W. B. & Magnus A. : Appl. Numer. Math. 4 (1988), No.2-4, 241-251. O
General T-fraction expansions for ratios of hypergeometric functions.
Cooper S. C. & Jones W. B. & Thron W. J. : J. Comput. & Appl. Math. 32 (1990), No.1-2, 39-46. lxxxvi / upv-i1
Orthogonal Laurent-polynomials and continued fractions associated with log-nomal distributions.
Cooper S. C. & Jones W. B. & Thron W. J. : Constr. Approx. 8 (1992), No.1, 59-67. cii / cxix
Asymptotic of orthogonal L-polynomials for log-normal distributions.
Cooper S.C. & Jones W.B. & Thron W.J. : Proc. C.F. & O.F., Norway 92, Dekker LNPAM 154 (1994), 101-113. O
Separate convergence for log-normal modified S-fractions.
Cooper S. C. & Thron W. J. (Eds.) : Lectures Notes in Pure and Appl. Math., M. Dekker Vol. 154, (1994), 379 pp. O
Continued fractions and orthogonal functions, theory and applications. Proc. Norway, June 21 - July 4, 1992.
Copson E. T. : Proc. Edinburgh Math. Soc. (2) 3 (1932), 201-206. liv
An approximation connected with e^-x.
Cordone G. : Rend. Circl. Mat. di Palermo 12 (1898), 240-257. lxxx
Sopra un problema fundamentale delle teoria delle frazioni continue algebriche generalizzate.
Corless R. M. : Amer. Math. Monthly 99 No.3 (1992), 203-215. O
Continued Fractions and Chaos.
Corteel S. & Lovejoy J. : Journal of Combinatorial Theory Ser. A 97 (2002), No.1, 177-183. m-01
Frobeniues Partitions and the Combinatorics of Ramanujan's 11 Summation.
Coury R. A. : Pi Mu Epsilon Journal 9 (1989), No.1, Fall, 9-12. O
A continued fraction approach for factoring large numbers.
Cowling V.F. & Leighton W. & Thron W.J. : Bull. Amer. Math. Soc. 50 (1944), 351-357. xlvi
Twin convergence regions for continued fractions.
Cowling V.F. & Leighton W. & Thron W.J. : Bull. Amer. Math. Soc. 49 (1943), 913-916. xlvi
Twin convergence regions for the general continued fractions.
Cox D. A. : L´Enseignement Math. 30 (1984), 275-330. xlvii
The Arithmetic-Geometric Mean of Gauss.
Cox D. A. : L´Enseignement Math. 30 (1984), 275-330. Pi : A source book, 481-536.
The Arithmetic-Geometric Mean of Gauss.
Cox D. A. : Notices of the AMS 32 (1985), 147-151. xlvii
Gauss and the Arithmetic-Geometric Mean.
Cox D. A. : Amer. Math. Monthly 101 No.1(1994), 3-14. O
Introduction to Fermat´s Last Theorem.
Coxeter H. S. M. : Quart. J. Math. (Oxford) 6 (1935), 13-29. #171
The functions of Schläfli and Lobatschefsky.
Crandall R. E. : Math. Of Compu. 67 (1998), 1163-1172. #169
Fast evaluation of multiple zeta sums.
Crandall R. E. & Buhler J. P. : Experimental Math. 3 (1994), No.4, 275-285. F.ps
On the Evaluation of Euler Sums.
Crandall R. & Pomerance C. : Springer Verlag 2001.
Prime Numbers, A Computational Perspective.
Craviotto C. & Jones W.B. & Thron W.J. : Acta Applicandae Mathematicae 33 (1993), No.2-3, 211-272. lxxxi2
A survey of truncation error analysis for Padé and continued fraction approximants.
Craviotto C. & Jones W.B. & Thron W.J. : Proc. C.F. & O.F., Norway 92, Dekker LNPAM 154 (1994), 115-128. O
Best truncation error bounds for continued fractions K(1/Bn), Lim Bn = inf (n---Inf).
Craviotto C.M. & Jones W.B. & Wyshinski N.J. : C. F. V, Brazil 1996, Dekker LNPAM 199 (1998), 151-178. O
Computation of the Binet and gamma functions by Stieltjes continued fractions.
Crelier L. : Annali di Matematica Pura e Appl. 24 (1896), 131-163. lxxvi
Sur quelques proprietés des fonctions Besséliennes, tirées de la théorie des fractions continues.
Croot E.S. & Dobbs D.E. Friedlander J.B.&Hetzel A.J.&Pappalardi F. : J. Number Theory 84 (2000), No.1,63-79. #167
Binary Continued Fractions.
Crum M. M. : J. London Math. Soc. 15 (1940), 10-15. cxxvi
On some Dirichlet series.
Cruyssen Van der P. : Computing 22 (1979), 269-278. lvi2
Linear difference equations and generalized continued fractions.
Cuculière R. : Amer. Math. Monthly 91 (1984), No.7, 438. Ó
Fibonacci Summation, Problem E2922 [ 1982, 63 ], Solution.
Culp-Ressler W. : The Ramanujan Journal 5 (2001), No.3, September, 281-294. O
Rational Period Functions on the Hecke Groups.
Culp-Ressler W. & Flood K. & Heath Sr. A. & Pribitkin W. de Azevedo : The Ramanujan J. 4 (2000),No.1,5-9.O
On Solution to Riemann´s Functional Equation.
Cusick T. W. : Proc. Amer. Math. Soc. 27 (1971), 35-38. xl
Sums and products of continued fractions.
Cusick T. : Pacific J. Math. 78 (1978), 47-60. #173
Integer multiples of periodic continued fractions.
Cusick T. W. : Archiv Math (Basel) 53 (1989), No.2, 154-158. lxxxvii / cxvi
Products of simultaneous approximations of rational numbers.
Cusick T. W. : Quart. J. Math. (Oxford), 41 (1990), No.163, 277-286. lxxx
Hausdorff dimension of sets of continued fractions.
Cusick T.W. & Lee R.A. : Proc. Amer. Math. Soc. 30 (1971), 241-246. xl
Sums of sets of continued fractions.
Cuyt A. : J. Computational & Appl. Math. 17 (1987), No.3, 369-373. xxvi
The Euler-Minding series for branched continued fractions.
Cuyt A. : BIT Comput. Sci. Numer. Math. 28 (1988), No.1, 98-112. xcix / cxvii
A multiple qd-like algorithm.
Cuyt A. : J. Comput. & Appl. Math. 32 (1990), No.1-2, 47-57. upv-i1
A multivariate convergence theorem of the " de Montessus de Ballore " type.
Cuyt A. : J. Comput. & Appl. Math. 105 (1999), 25-50. #167
How well com the concept of Padé approximant be generalized to the multivariate case ?.
Cuyt A.A.M. & Jacobsen L. & Verdonk B.M. : Appl. Numer. Math. 4 (1988), No.2-4, 253-262. O
Instability and modification of Thiele interpolating continued fractions.
Cuyt A. & Jones W. B. & Verdonk B. : Rocky Mount. J. Math. 21 (1991), No.1, 187-208. xcvi
Model reduction and stability of two-dimensional recursive systems.
Cuyt A. & Verdonk B. : Computing 34 (1985), 41-61. lvi2
Multivariate rational interpolation.
Cuyt A. & Verdonk B. : IMA J. Numer. Analysis 8 (1988), No.2, 209-217. xxv / xxxi
Evaluation of branched continued fractions using block-tridiagonal linear systems.
Cuyt A.A.M. & Verdonk B.M. : Appl. Numer. Math. 4 (1988), No.2-4, 263-271. O
A review of branched continued fraction theory for the construction of multivariate ratio approximants.
Cuyt A. & Verdonk B. : J. Comput & Appl. Math. 21 (1988), No.2, 145-160. ci / upv-i1
Multivariate reciprocal differences for branched Thiele continued fraction expansions.
Cvijovic D. & Klinowski J. : Proc. Amer. Math. Soc. 125 (1997), No.9, 2543-2550. cxlviii
Continued fraction expansions for thr Riemann zeta function and polylogarithms.
Dahlquist G. & Björck A. : Prentice Hall 1974. O
Numerical Methods.
Dai Z. D. & Zeng K. C. : (Springer), Lecture Notes in Comput. Sci. No.453 (1990), 24-31. civ / cxxix
Continued fractions and the Berlekamp-Massey algorithm.
Dajani K. & Kraaiakmp C. : J. de Theorie des Nombres de Bordeaux 8 (1996), No.2, 331-346. cxlvi / #155
On approximation by Luroth series.
Dajani K. & Kraaikamp C. & Slomyak B. : Acta Math. Hungarica 73 (1996), No.1-2, 97-109. #162
The natural extension of the beta-transformation.
Daras N. J. : Appl. Numer. Math. 4 (1988), No.2-4. O
The convergence of Padé-type approximants to holomorphic functions of several complex var.
Darling H.B.C. : Proc. Camb. Philos. Soc. 19 (1919), 217-218. xlvi
On Mr. Ramanujan´s congruences properties for p(n).
Darling H.B.C. : Proc. London Math. Soc. Ser.2 19 (1921), 350-372. xviii
Proof of certain identities and congruences enunciated by S. Ramanujan.
Darling H.B.C. : J. London Math. Soc. 5 (1930), 8-9. xlii
On a proof of one of Ramanujan´s theorems.
Darling H. B. C. : Proc. London Math. Soc. (2) 34 (1932), 323-339. lxv
On certain relations between hypergeometric series of higher orders.
Darling H. B. C. : J. London Math. Soc. 10 (1935), 63-70. cxlii
On the differential equation satisfied by the hypergeometric series of the second order.
Darmon H. & Mckay J. : Amer. Math. Monthly 98 No.1 (1991), 25-27. O
A Continued Fraction and Permutations with Fixed Points.
Daróczy Z. : Annales Universitatis Scientiarum Budapestinensis Sect. Comput. 14 (1994), 23-31. cv-4
On a functional equation connected with an identity of Ramanujan.
Daroczy Z. : Aequationes Mathematicae 58 (1999), No.1-2, 41-45. #164
Ramanujan´s identities and functional equations.
Daroczy Z. & Hajdu G. : Publ. Math. Debrecen 53 (1998), No.3-4, 281-291. cv-3
On the Ramanujan differences.
Daroczy Z. & Hajdu G. : Acta Math. Hungarica 82 (1999), No.1-2, 1-9. #149
On an identity of Ramanujan.
Dassoé S. & Vianello M. & Zanovello R. : Numer. Math. 80 (1998), 61-73. #170
Asymptotic summation of power series.
Dassié S. & Vianello M. & Zanovello R. : Math. Of Comput. 69 (2000), No.230, 749-756. #166
A new summation method for power series with rational coefficients.
Datskovsky B. & Guerzhoy P. : Proc. Amer. Math. Soc. 124 (1996), No.8, 2283-2291. #154
On Ramanujan congruences for modular forms of integral and half-integral weights.
Datta H. : Proc. Edinburgh Math. Soc. 34 (1915), 109-132. xlviii
On the theory of continued fractions.
Datta H. : Proc. Edinburgh Math. Soc. 35 (1916), 46-59. xlviii
On the theory of continued fractions.
Datta H. : Proc. Edinburgh Math. Soc. 35 (1916), 83-106. xlviii
On the failure of Heilermann´s theorem.
Daum J. A. : Bull. Amer. Math. Soc. 48 (1942), 711-713. cviii
The basic analog of Kummer´s theorem.
Davenport H. : Annals of Math. 40 (1939), 731-747. cxxvi
On Waring´s problem for fourth powers.
Davenport H. : J. London Math. Soc. 33 (1958), 252-255. xlii
T. Vijayaraghavan.
Davenport H. & Erdös P. : Acta Arith. 2 (1936), 147-151. O
On sequence of positive integers.
Davenport J. H. & Siret Y. & Tournier E. : Academic Press 1988. O
Computer Algebra : Systems and Algorithms for Algebraic Computation.
Davis C. S. : J. London Math. Soc. 20 (1945), 194-198. iv2
On some simple continued fractions conected with e.
Davis C. S. : Austral Math. Soc. Ser. A 25 (1978), No.4, 497-502. xcv
????.
Davis C. S. : Bull. Austral. Math. Soc. 20 (1979), No.3, 407-410. xcv / cxii
A note on rational approximation.
Davis P. J. : Amer. Math. Monthly 66 (1959), 849-869. lxviii
Leonhard Euler´s Integral : A historical profile of the Gamma function.
Davison J. L. : Proc. Amer. Math. Soc. 63 (1977), 29-32. liv
A series and its associated continued fraction.
Davison J. L. & Shallit J. O. : Monatschefte Math. 111 (1991), No.2, 119-126. xxi
Continued fractions for some alternating series.
Dawson D. F. : Canad. J. Math. 11 (1959), 131-140. xviii
Continued fractions with absolutely convergent even and odd part.
Dawson D. F. : Proc. Amer. Math. Soc. 10 (1959), 12-17. x
Convergence of continued fractions of Stieltjes type.
Dawson D. F. : Proc. Amer. Math. Soc. 11 (1960), 640-647. x
Concerning convergence of continued fractions.
Dawson D. F. : Proc. Amer. Math. Soc. 13 (1962), 698-701. x
A theorem on continued fractions and the fundamental inequalities.
Dawson D. F. : Proc. Amer. Math. Soc. 14 (1963), 542-545. x
On certain sequence to sequence transformations with preserve convergence.
Dawson D. F. : Proc. Amer. Math. Soc. 15 (1965), 710-714. x
Some rate invariant sequence transformations.
Dawson D. F. : Proc. Amer. Math. Soc. 18 (1967), 803-805. x
Remarks on some convergence conditions for continued fractions.
Dazheng L. : The Fibonacci Quaterly 37 (1999), No.1, February, 14-20. O
Fibonacci Matrices.
Deakin M. A. B. : J. Autral. Math. Soc. Ser.B 37 (1996), Part 3, 279-287. xxiv
The Laplace transform of Exp ( E (T) ).
Dean W. R. : Proc. Cambridge Philos Soc. 42 (1946), ??-24-??. #156
???.
Debnath L. : Internat. J. Math. Ed. Sci. Tech. 18 (1987), No.6, 821-861. liv
Srinivasa Ramanujan (1887-1920). A centennial tribute.
Debnath L. : Internat. J. Math. & Math. Sci. 10 (1987), No.4, 625-640. xci
Srinivasa Ramanujan (1887-1920) and the theory of partitions of numbers and statistical mechanics. A centennial trib.
De Boor C. : SIAM J. Sci. Stat. Comp. 1 (1980), 173-178. cxxxix
FFT as nested multiplication, with a twist.
Decoste H. : Theoretical Computer Sci. 117 (1993), No.1-2, 169-186. upv-f1
Series indicatrices et q-series.
De Doelder P. J. : J. Comput. & Appl. Math. 37 (1991), 125-141. #161
On some series containning phi(x)-phi(y) and (phi(x)-phi(y))^2 for certain values of x and y.
Deeba E. Y. & Rodriguez D. M. : Amer. Math. Monthly 98 No.5 (1991), 423-426. O
Stirling´s Series and Benoulli Numbers.
Degel B. : Archiv der Math. (Basel) 48 (1987), No.3, 232-240. xcix / cxvii
Kettebruche in imaginar quadratischen zahlkorpern mit klassenzahl 1.
Delahaye J. P. : Belin- Pour La Science 1997. O
Le Fascinant Nombre Pi.
Delange H. : Bull. Soc. Math. France (2) 83 (1959), 101-111. #160
Sur des formules dues à Atle Selberg.
Delange H. : Acta Arith. 19 (1971), 105-146. #160
Sur des formules de Atle Selberg.
Delange H. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 153-165. O
Probabilistic number theory.
Deléglise M. & Rivat J. : Experimental Math. 5 (1996), No.4, 291-295. F.ps
Computing the Summation of the Möebius Function.
De Moivre A. : 1730 London. f
Miscellanea Analytica de Seriebus et Quadraturis.
De Moivre A. : 1730 London. f
Miscellaneis Analyticis Supplementum.
De Morgan A. : 1899 Trübner London. e-B
Elementary Illustrations of the Differential and Integral Calculus.
Dempsey K. M. & Liu D. & Dempsey J. P. : Math. of Comput. 55 (1990), 693-703. #175
Plana's summation formula for Sum m^-2 sin(ma), m^-3 cos(ma), m^-2 A^m, m^-3 A^m.
Dence T. & Pomerance C. : The Ramanujan Journal 2 (1998), No.1/2, 7-20. O
Euler´s Function in Residues Classes.
Denis R. Y. : Mathematics Student 51 (1983), No.1-4, 70-76 (1988). xix
On certain q-series and continued fractions.
Denis R. Y. : Mathematics Student 52 (1984), No.1-4, 47-58, (1990). xix
On generalizations of certain q-series of Ramanujan.
Denis R. Y. : Mathematics Student 52 (1984), No.1-4, 129-136, (1990). xix
On basic hypergeometric functions and continued fractions.
Denis R. Y. : Math. Student 53 (1985), No.1-4, 243-248. xlvii2
On certain q-seires and continued fraction identities.
Denis R. Y. : Ganita 37 (1986), No.1-2, 31-40. cv
On certain transformations of special basic bilateral hypergeometric series.
Denis R. Y. : Ganita 32 (1987), No.1-2, 125-132. cv-2.
On a class of generalized hypergeometric function series with constant sum.
Denis R. Y. : Rev. Technica Facul. Ingr. Univ. Zulia 10 (1987), No.2, 19-21. cv-2
On summation of a class of q-series.
Denis R. Y. : Math. Student 536 (1988), No.1-4, 206-214. O
On certain multiple series and q-identities.
Denis R. Y. : J. Math. Phys. Sci. 22 (1988), No.1, 87-99. xxxiv2
On certain summation of q-series and identities of Rogers-Ramanujan type.
Denis R. Y. : Jnanabha 18 (1988), 95-98. l-4
On expansions of q-series of three variables.
Denis R. Y. : Indian J. Pure & Appl. Math. 21 (1990), No.1, 78-81. xvii
On generalizations of Euler´s continued fractions.
Denis R. Y. : Internetional J. Math. & Math. Sci 13 (1990), 725-730. xxxiv2
On generalization of continued fraction of Gauss.
Denis R. Y. : International J. Math. & Math. Sci. 13 (1990), No.4, 741-745. xxii
On generalizations of continued fraction of Gauss.
Denis R. Y. : J. Math. Phys. Sci. 24 (1990), No.3, 193-205. xxxiv2
On certain continued fractions of Ramanujan.
Denis R. Y. : Indian J. Pure & Appl. Math. 22 (1991), No.1, 73-75. xvii
On generalizations of certain continued fractions.
Denis R. Y. : Math. Student 59 (1991), No.1-4, 177-180. O
On reducibility of certain q-series.
Denis R. Y. : Radha Publications India (2001), 273pp.. O
Contributions to the Theory of Generalized Hypergeometric Series.
Denis R. Y. & Gustafson R. A. : SIAM J. Math. Anal. 23 (1992), No.2, 552-561. cxxxiii
An SU(n) q-beta integral transformation and multiple hypergeometric series identities.
Denis R. Y. & Lall R. S. : Proc. Nat. Symp. Special Functions & Appl. , Gorakhpur 1986, 117-129. O
Restricted partitions and generation of certain structures.
Dennis J. J. & Wall H. S. : Duke Math. J. : 12 (1945), 255-273. xlvi
The Limit-circle case for a positive definite J-fraction.
De Pree J. D. & Thron W. J. : Math. Zeitsch. 80 (1962), 184-193. xxx
On sequences of Moebius transformations.
Derrick W. R. : 1972 Academic Press. O
Introductory Complex Analysis and Applications.
Derrick W. & Eidswick J. : Amer. Math. Monthly 102 No.4 (1995), 337-344. O
Continued Fractions, Chebychev Polynomials, and Chaos.
Désarménien J. & Foata D. : Séminaire Lotharingien de Combinatoire 11 (1984), B11a, 20pp. F.ps
Fonctions Symétriques et Séries Hypergéométriques Basiques Multivariées.
Désarménien J. & Foata D. : Bull. Soc. Math. France 113 (1985), 3-22. cxxxvii
Fonctions symétriques et hypergéométriques basiques multivariées.
Desbrow D. : Amer. Math. Monthly 97 No.10 (1990), 903-906. O
On the Irrationality of Pi.
DeSouza P. N. & Silva J. N. : 1998 Springer Verlag. O
Berkeley Problems in Mathematics.
DeTemple D. W. : Amer. Math. Monthly 100 No.5 (1993), 468-470. O
A quicker Convergence to Euler´s Constant.
DeTemple D. W. & Wang S. H. : J. Math. Anal. Appl. 160 (1991), 149-156. lxxxvi / cxiv
Half integer approximations for the partial sums of the harmonic series.
Deuring M. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 47-49. O
Brief Recollections of Heilbronn.
Deutsch J. I. : D.V. Chudnovsky... (eds.) : Number Theory New York Sem. 1989-1990, Springer (1991), 105-118. O
Conjectures relating to a generalization of the Ramanujan tau function.
De Weger B. M. M. : Elemente der Mathematik 43 (1988), No.4, 112-116. xxviii
Periodicity of p-adic continued fractions.
Diaconis P. : Amer. Math. Monthly 93 (1986), No.2, 123-125. Ó
An elementary proof od Stirling´s formula.
Diaz G. : (Sem.) J. Theorie Nombre Bordeaux 9 (1997), No.1, 229-245. #149 / #159
La conjecture des quatre exponentielles et les conjectures de D. Bertrand sur la fonction modulaire.
Diaz G. : The Ramanujan Journal 4 (2000), No.2, June, 157-199. O
Transcendance et indépendance algébrique: liens entre les points de vue elliptique et modulaire.
Dickinson G. A. : Math. Gazette 21 (1937), 135-139. lxxxii
Walli´s products for Pi / 2.
Dilcher K. (Ed.) : Canad. Math. Soc. CMS conf. Proceedings Vol. 15, 1995 AMS, xxiv + 431 pp. O
Number Theory Fourth Conf. Canad. Number Theory Assoc. July 2-8, 1994, Dalhousie Univ., Halifax, Nova Scotia.
Dilcher K. : Discrete Math. 145 (1995), No.1-3, 83-93. upv-i1 / cv-2
Some q-series identities related to divisor functions.
Dilcher K. : J. Number Theory 60 (1996), No.1, 23-41. #169
Sums of products of Bernoulli numbers.
Dilcher K. & Malloch L. : Journal of Number Theory 92 (2002), No.2, February, 330-347. m-01
Arithmetic Properties of Bernoulli-Padé Numbers and Polynomials.
Ding H. : The Ramanujan Journal 1 (1997), No.1, 35-52. O
Ramanujan´s Master Theorem for Hermitian Symmetric Spaces.
Ding H. & Gross I. K. & Richards D. St. P. : Pacific J. Math. 175 (1996), No.2, 447-490. #149
Ramanujan´s master theorem for symmetric cones.
Dixon A. C. : Mess. of Math. 20 (1891), 79-80. cxli
On the sum of the cubes of the coefficients in a certain ecpansion by the binomial theorem.
Dixon A. C. : 1894 Macmillan. O
The Elementary Properties of the Elliptic Functions with Examples.
Dixon A. C. : Proc. London Math. Soc. (1) 35 (1903), 285-289. xxxi
Summation of a certain series.
Dixon A. C. : Proc. London Math. Soc. (2) 2 (1905), 8-15. cxliii
On a certain double integral.
Dixon A. L. : Proc. London Math. Soc. (2) 3 (1905), 206-224. #169
Generalizations of Legendre´s formula KÉ - (K-E) K ´ = 1/2 pi.
Dixon J. D. : Amer. Math. Monthly 91 (1984), No.6, 333-352. Ó
Factorization and Primality Test.
Dixon M. J. : Amer. Math. Monthly 91 (1984), No.10, 652-653. Ó
The Irrationality of SUM ( 1/ ( n(nm + k) ). Problem 6424 [ 1983, 289 ], Solution.
Dobbie J. M. : Quart. J. Math. (Oxford) 6 (1955), 193-196. #159
A simple proof some partition formulae of Ramanujan´s.
Dobbie J. M. : Quart. J. Math. (2) 13 (1962), 31-34. lxxiii
A simple proof of the Rogers-Ramanujan identities.
Doeblin W. : Compositio Math. 7 (1940), 353-371. lxi
Remarques sur la théorie métrique des fractions continues.
Dokshitzer T. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 235-243. O
An elementary proof of Wilf´conjecture.
Dokshitzer T. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 133-153. O
On Wilf´s conjecture and generalizations.
Dordevic G. B. : The Fibonacci Quarterly 37 (1999), No.1, February, 61-66. O
Plynomials Related to Morgan-Voyce Polynomials.
Dorwart H. L. : Amer. Math. Monthly 49 (1942), 324-325. #162
Values of trigonometric ratios of Pi / 8 and Pi / 12.
Dougall J. : Proc. Edinburg Math. Soc. 25 (1907), 114-132. xlviii2
On Vandermonde´s theorem and some more general expansions.
Dragonette L. : Trans. Amer. Math. Soc. 72 (1952), 474-500. xlix
Some asymptotic formulae for the mock theta series of Ramanujan.
Draim N. A. : The Fibonacci Quaterly 2 (1964), No.4, December, 290. O
Expansion of Pi in terms of an infinite continued fraction with predictable terms.
Dress F. : Experimental Math. 2 (1993), No.2, 89-98. F.ps
Fonction sommatoire de la fonction de Möebius 1. Majorations expérimentales.
Dress F. & Marraki M. E. : Experimental Math. 2 (1993), No.2, 99-112. F.ps
Fonction sommatiore de la fonction de Möebius 2. Majorations asymptotiques élémentaires.
Drewnowski L. & Labuda I. : Proc. Amer. Math. Soc. 126 (1998), No.6, 1655-1659. #151
Lacunary convergence of series Lo.
Driver K. A. & Love A. D. : Journal of Computational & Applied Mathematics 131 (2001), Issue 1-2, 1 June, 243-251. m-01
Zeros of 3F2 hypergeometric polynomials.
Driver K. A. & Lubinsky D. S. : Aequationes Math. 42 (1991), No.1, 85-106. cxxxiii
Convergence of Padé approximants for a q-hypergeometric series ( Wynn´s power series I ).
Driver K. A. & Lubinsky D. S. : Aequationes Math. 45 (1993), No.1, 1-23. cxxx
Convergence of Padé approximants for a q-hypergeometric series ( Wynn´s power series II ).
Driver K. A. & Lubinsky D. S. & Petruska G. : Indagationes Math. (N. S.) 2 (1991), No.4, 469-481. cxxxiv
Irregular distribution of ... quadrature of singular integrands and curious basic hypergeometric series.
Drobot S. : Proc. Amer. Math. Soc. 14 (1963), 197-198. cix
A note on continued fractions.
Drost J. L. : Amer. Math. Monthly 104 (1997), No.10, 963-964. #154
A shorter proof of the Ramanujan congruence modulo 5.
Drummond J. E. : Bull. Austral. Math. Soc. 6 (1972), 69-74. lxxx
A formula for accelerating the convergence of a general series.
Duandikoetxea J. : G.S.M. Vol. 29, 2000 American Mathematical Society. O
Fourier Analysis.
Dubickas A. : The Ramanujan Journal 4 (2000), No.3, September, 291-298. O
On the Measure of a Nonreciprocal Algebraic Number.
Dubois E. & Levesque C. : Nagoya Math. J. 124 (1991), 157-180. xcvi
On determining certain real quadratic fields with class number one and relating this property to continued fraction...
Dubois E. & Paysant Le Roux R. : Astérisque 198-199-200 (1991), 107-119. xxix / cx
Sur la longueur du développement en fraction continue de root{ f(n) }.
Dudley R. M. : Math. Comp. 49 No.180 (1987), 585-593. xvi
Some inequalities for continued fractions.
Dujella A. : The Fibonaci Quarterly 37 (1999), No.4, November, 312-314. O
An extension of an old problem of Diophantus and Euler.
Duke W. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 73-79. O
Automorphic L-functions in level aspect.
Dumont D. : Adv. Appl. Math. 16 (1995), No.3, 275-296. ci / cxx
Further triangles of Seidel Arnold type and continued fractions related to Euler and Springer numbers.
Dumont D. & Kreweras G. : European J. Combin. 9 (1988), No.1, 27-32. xcii / eujc1
Sur le developpement d´une fraction continue liee a la serie hypergeometrique et son interpretation en termes ...
Dumont D. & Zeng J. : The Ramanujan Journal 2 (1998), No.3, 387-410. O
Polynômes d´Euler et Fractions continues de Stieltjes-Rogers.
Dunham W. : 2000 Nivola Lib. Ed. O
Euler, el maestro de todos los matemáticos.
Durège H. : Macmillan and Co. 1902. O
Elements of the Theory of Functions of a Complex Variable.
Durfee W. H. : Bull. Amer. Math. Soc. 39 (1933), 457-464. cxlvi
Convergence factors for double series.
Dutka J. : SIAM J. Math. Anal. 12 (1981), 471-476. xliii3
Two results of Ramanujan.
Dutka J. : Arch. History Exact. Scie. 26 (1982), 115-126. ii
Wallis´s product , Brouncker´s continued fraction and Leibniz´s series.
Dutka J. : Arch. History Exact. Sci. 31 (1984), 15-34. lxxix
The early history of the hypergeometric functions.
Duverney D. : Acta Arithm. 64 (1993), 175-188. #159
Propiétés arithmétiques d´une série liée aux fontions thêta.
Duverney D. : C. R. Acad. Sci. Paris Ser. I Math. 320 (1995), 1041-1044. #158
Sommes de deux carrés et irrationalité de valeurs de fonctions thêta.
Duverney D. : J. Reine Angew. Math. 477 (1996), 1-12. #152
Propiétes arithmetiques d´un produit infini lié aux fonctions thêta.
Duverney D. : J. Théorie des Nombres Bordeaux 8 (1996), 173-181. #164
A propos de la série S (n=1...inf) x^n / q^n - 1.
Duverney D. & Nishioka K. & Nishipka K. & Shiokawa I. : Proc. Japan Acad. Ser. A 72 (1996), 202-203. #152
Transcendence of Jacobi´s theta series.
Duverney D. & Nishioka K. & Nishioka K. : Proc. Japan Acad. Ser. A Math. Sci. 73 (1997), No.7, 140-142. cxxx
Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers.
Dwork B. & Loeser F. : Japan J. Math. (N. S.) 19 (1993), No.1, 81-129. cxxxiii / cv-3
Hypergeometric series.
Dyson F. J. : J. London Math. Soc. 18 (1943), 35-39. lxx
Three identities in combinatory analysis.
Dyson F. J. : J. Combin. Theory 7 (1969), 56-61. #167
A new symmetry of partitions.
Dyson F. J. : Bull. Amer. Math. Soc. 78 (1972), 635-653. cxxii
Missed opportunities.
Dyson F. J. : Ramanujan Revisited, Proc. Centenary Conference, Univ. Illinois (1987), AP (1988), 7-28. O
A walk through Ramanujan´s garden.
Dyson F. J. : J. Combin. Theory Ser. A 51 (1989), 169-180. #161
Mappings and symmetries of partitions.
Eagle A. : Amer. Math. Monthly 46 (1939), 422-428. #162
Series for all the roots of a trinomial equation.
Eagle A. : Galloway and Porter, Ltd. Cambridge England 1958, xxviii + 509 pp. O
The Elliptic Functions as They Should Be, An account with applications of the functions in a new cannonical form.
Earnest A. G. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 155-158. O
An application of character sum inequalities to quadratic forms.
Edgar G. A. : Math. Mag. 60 (1987), No.3, 141-150. xcvii
Pi : difficult or easy ?.
Edmonds S. M. : Proc. Cambridge Phil. Soc. 38 (1942), 1-19. cxxii
On the Parseval formula for Fourier transform.
Edmonds S. M. : Proc. Cambridge Phil. Soc. 43 (1947), 289-306. cxxii
The Parseval formula for monotonic functions I.
Edmonds S. M. : Proc. Cambridge Phil. Soc. 46 (1950), 231-248. cxxii
The Parseval formula for monotonic functions II.
Edmonds S. M. : Proc. Cambridge Phil. Soc. 46 (1950), 249-267. cxxii
The Parseval formula for monotonic functions III.
Edmonds S. M. : Proc. Cambridge Phil. Soc. 49 (1953), 218-229. cxxii
The Parseval formula for monotonic functions IV.
Edrei A. : Bull. Sci. Math. (2) 72 (1948), 45-64. xxx
Sur des suites de nombres liées a la théorie des fractions continues.
Edwards Ch. Jr. & Penney D. E. : 3ª ed. 1993 Prentice-Hall. O
Ecuaciones Diferenciales Elementales.
Edwards D. : Mess. of Math. 52 (1923), 129-136. cxxxv / #150
An expansion in factorials similar to Vandermonde´s theorem and applications.
Effinger G. : The Ramanujan Jorunal 3 (1999), No.3, September, 239-280. O
Some numerical implications of the Hardy and Littlewood analysis of the 3-primes problem.
Efrat I. : Invent. Math. 114 (1993), No.1, 207-213. ci / cxix
Dynamics of the continued fraction map and the spectral theory of SL2 (z).
Egami S. : Acta Arithm. 69 (1995), No.2, 189-191. cii / cxx
A chi-analogue of a formula of Ramanujan for zeta(1/2).
Egecioglu O. & Koc C. K. & Rifa-i-Coma J. : Computers & Math. with Appl. 21 (1991), No.2-3, 167-169. xcix / cxviii
Fast computation of continued fractions.
Eggan P. C. : Thesis 1985. F
Ramanujan Congruences for power products of Dedekind Eta Functions.
Ehrenpreis L. : Proc. Symp. Pure Math. 49 part 2, Theta Function Bowdoin 1987, A.M.S. (1989), 45-100. O
Fourier analysis, partial differential equations and automorphic functions.
Ehrenpreis L. : A tribute to Emil Grosswald, Contemporary Math. A.M.S. 143 (1993), 259-320. O
Function theory for Rogers-Ramanujan-like partition identities.
Ehrenpreis L. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 35-80. O
Singularities, functional equations, and the circle method.
Ehrenpreis L. & Gunning R. C. (Eds.) : Proc. on Symposia in Pure Math. Vol. 49, part 2, A.M.S. (1989), 366 pp. O
Theta functions Bowdoin 1987, Proc. Summer Resear. Inst. on Theta-f. ,Bowdoin Brunswick, Maine July 6-24, 1987.
Eie M. : Proc. Amer. Math. Soc. 110 (1990), 583-590. #168
On a Dirichlet series associated with polynomial.
Eie M. : Proc. Amer. Math. Soc. 119 (1993), 51-61. #168
The special values at negative integers of Dirichlet series associated with polynomials of several variables.
Eie M. & Lai K. F. : Revista Mat. IberoAmericana 14 (1998), No.1, 167-213. #165
On Bernoulli identities and applications.
Eje M. & Chen K. W. : Trans. Amer. Math. Soc. 351 (1999), No.8, 3217-3228. #166
A theorem on zeta functions associated with polynomials.
Ekhad S. B. : Proc. Amer. Math. Soc. 107 (1989), 1143-1144. lxxv
Short proofs of two hypergeometric summation formulas of Karlsson.
Ekhad S. B. : J. Math. Anal. Appl. 147 (1990), 610-611. lxxv / cxiv
A 21st century proof of Dougall´s hypergeometric sum identity.
Ekhad S. B. : Discrete Math. 90 (1991), 319-320. lxxv / cxiv / upv.i1
A short proof of a "strange" combinatorial identity conjectured by Gosper.
Ekhad S. B. : Theoretical Comput. Sci. 117 (1993), 199-202. #161
A short elementary, and easy, WZ proof of the Askey-Gasper inequality that was used by de Branges...
Ekhad S. B. & Parnes S. : Discrete Math. 110 (1992), 263-264. lxxv / upv-i1
A WZ-style proof of Jacobi polynomial´s generating function.
Ekhad S. B. & Tre S. : J. Comb. Theory Ser. A 54 (1990), No.2, 309-311. lxxiv
A purely verification proof of the first Roger-Ramanujan identity.
Ekin A. B. : J. Combinatorial Theory Ser. A 83 (1998), No.2, 283-289. #174
Inequalities for the crank.
Ekin A. B. : Trans. Amer. Math. Soc. 352 (2000), No.5, 2145-2156. #164
Some properties of partitions in terms of crank.
Elkenbracht-Huizing R.M. Montgomery P.L. Silverman R.D. Wackerbarth R.K. Wagstaff S.S. : 5º CNT, 81-85. O
The number field sieve on many computers.
Elliot E. B. : Mess. of Math. 33 (1904), 31-40. cxxxv
A formula including Legendre´s EK´+ KE´- KK´= 1/2 pi.
Elliot P. D. T. A. : The Ramanujan Journal 2 (1998), No.1/2, 201-217. O
Products of Shifted Primes, Multiplicative Analogues of Golbach´s Problems, II.
Ellis H. G. : Rocky Mountain J. Math. 4 (1974), 353-356. xxviii
Continued fractions solutions of the general Riccati differential equation.
Elsner C. : Math. Nachrichten 189 (1998), 243-256. cxlviii
On the approximation of irrationals by rationals.
Elte E. L. : Nieuw Arch. voor Wisk. (2) 15 (1925), 55-59. lx
Aavulling eener eigenschap der periodieke kettingbreuken.
Elte E. L. : Nieuw. Arch. voor Wisk 15 (1928), 237-255. lx
Over het voorstellen von zekere getallen in de gedante a^2 +- 2b^2.
Engels H. : Historia Mathematica 4 (1977), 137-140. PI: A source book 3-6.
Quadrature of the circle in ancient egypt.
Engquist B. & Schmid W. (Eds.) : Springer Verlag 2001. O
Mathematics Unlimited 2001 and Beyond Part I and Part II.
Engquist B. & Golub G. : B. Engquist & W. Schmid : Math. Unlimited, 2001 & Beyond. Springer 2001. 433-448. O
From Numerical Analysis to Computational Science.
Enneper A. : 2ª Aufl. 1890 L. Nebet, Halle. O / e-B
Elliptische Functionen, Theorie und Geschichte.
Epperson J. F. : Amer. Math. Monthly 96 (1989), No.9, 831-835. O
On the use of iteration methods for approx. the natural log.
Epstein L. F. : J. of Math. and Phys. MIT 18 (1939), 153-173. lxxviii
A function related to the series for e^e^x.
Erdélyi A. : Quart. J. Math. (Oxford) 10 (1939), 129-134. cxliii
Transformation of hypergeometric integrals.
Erdélyi A. : Quart. J. Math. (Oxford) 10 (1939), 176-189. cxliii
Transformation of hypergeometric integral by means of fractional integration by parts.
Erdélyi A. : J. London Math. Soc. 15 (1940), 209-212. cxlii
A class of hypergeometric functions.
Erdélyi A. : Quart. J. Math. (Oxford) 13 (1942), 159-171. cxliii
Expansions of hypergeometric functions.
Erdélyi A. : Rendiconti del Seminario Matematico 10 (1951), 217-234. cxlvi
On some functional transformations.
Erdös P. : J. London Math. Soc. 12 (1937), 308-314. lxxvii
Note on the number of prime divisors of integers.
Erdös P. : Annals of Math. 42 (1941), 989-993. #176
On some asymptotic formulas in the theory of factorisatio numerorum.
Erdös P. : Annals of Math. 43 (1942), 419-435. #162
On an elementary proof of some asymptotic formulas in the theory of partitions.
Erdös P. : Annals of Math. 43 (1942), 437-???. #165
On an elementary proof of some asymptotic formulas in the theory of partitions. II.
Erdös P. : Quart. J. Math. Oxford. Ser. 14 No. 55-56 (1943), 82-85. O
A note on Farey series.
Erdös P. : J. London Math. Soc. 19 (1944), 130-133. xlii
On highly composite numbers.
Erdös P. : J. Indian Math. Soc. 12 (1948), 63-66. cxxxvi
On arithmetical properties of Lambert series.
Erdös P. : J. Indian Math. Soc (N.S.) 13 (1949), 131-144. cxlvi
On a Tauberian theorem connected with the new proof of the prime number theorem.
Erdös P. : Proc. Nat. Acad. Sci. USA 35 (1949), 374-384. cxlv
On a new method in elementary number theory which leads to an elementary proof of the prime number theorem.
Erdös P. : J. Indian Math. Soc. ( N. S. ) 13 (1949), 145-???. #158
Supplementary Note.
Erdös P. : Indagationes Math. 19 (1957), 212-219. cxxxvi
On the irrationality of certain series.
Erdös P. : L´Enseignement Math. 4 (1958), 93-100. cxxxvi
Sur certaines series a valeur irrationelle.
Erdös P. : Math. Student (1968-1969), 222-226. cxxxvi
On the irrationality of certain series.
Erdös P. : J. of Soviet Math. 10 (1975), 1-7. cxxxii / cv-2
Some problems and results on the irrationality of the sum of infinite series.
Erdös P. : C. R. Acad. Sci. Paris Ser. I 292 (1981), 765-768. cxxxvi
Sur l´irrationalité d´une certaine série.
Erdös P. : Amer. Math. Monthly 94 (1987), No.3, 301. O
Problem E 3200. ( Sucesion of real numbers... ).
Erdös P. : Number Theory, Madras (1987), Ed.: K. Alladi, Lect. Notes Math. 1395 (1989), 1-20. O
Ramanujan and I.
Erdös P. & Lehner J. : Duke Math. J. 8 (1941), 335-345. ciii
The distribution of the number of summands in the partitions of a positive integer.
Erdös P. & Mahler K. : J. London Math. Soc. 14 (1939), 12-18. xviii
Some arithmetical properties of the convergents of a continued fraction.
Erdös P. & Murty M. R. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 87-97. O
On the order of a (mod p).
Erdös P. & Nicolas J. -L. & Sárközy A. : The Ramanujan Journal 2 (1998), No.1/2, 225-245. O
On Large Values of the Divisor Function.
Erdös P. & Pálfy P. P. & Szegedy M. : Amer. Math. Monthly 94 (1987), No.2, 169-170. O
a(mod p)<= b(mod p) for all primes p implies a=b.
Erdös P. & Piranian G. : Michigan Math. J. 6 (1959), 205-209. lix
Sequences of linear fractional transformations.
Erdös P. & Pomerance C. & Sárközy A. : The Ramanujan Journal 1 (1997), No.3, 227-241. O
On Locally Repeated Values of Certain Arithmetic Functions, IV.
Erdös P. & Selfridge J. : Amer. Math. Monthly 95 (1988), No.1, 51. O
Problem E 3248. ( factors, sun integers ).
Erdös P. & Strauss E. : J. Indian Math. Soc. 27 (1963), 129-133. cxxxvi
On the irrationality of certain Ahmes series.
Erdös P. & Strauss E. G. : J. Indian Math. Soc. 27 (1964), 129-133. xcvi
On the irrationality of certain Ahmes series.
Erdös P. & Strauss E. : PacificJ. Math. 36 (1971), 635-646. cxxxvi
Some number theoretic results.
Erdös P. & Strauss E. : Pacific J. Math. 55 (1974), 85-92. cxxxvi
On the irrationality of certain series.
Espinosa O. & Moll V. H. : The Ramanujan Journal 6 (2002), No.2, June, 159-188. O
On Some Integrals Involving the Hurwitz Zeta Function : Part 1.
Estermann T. : J. London Math. Soc. 3 (1928), 247-250. lxxvii
On the divisor problem in a class of residues.
Estermann T. : Acta Arithmetica 8 (1962/1963), 465-467. cix
Note on a paper of A. Rotkiewicz.
Estrada R. : Appl. Anal. 43 (1992), No.3-4, 191-228. civ
The asymptotic expansion of certain series considered by Ramanujan.
Eugeni F. & Rizzi B. : J. Inform Optim. Sci. 9 (1988), No.2, 241-254. civ
A new generalization of three identities of Ramanujan and Suryanarayana.
Eugenio V. : Giornale di Mat. di Battaglini 9 (1871), 358-365. lxvi
Recherches sur les fractions continues.
Euler L. : Teubner-Bikhäuser 1944. O
Opera Omnia : Serie I : Mathematica : Volume 5.
Euler L: : Mathematical System Theory 4 (1985), No.18, 295-328. #155
?? (traduction of B.F. Wyman - M.F. Wyman).
Euler L. : Springer Verlag, 2000. O
Foundations of Differential Calculus, Chapters 1-9.
Evans R. : L´Enseignement Math. 27 (1981), 197-209. cxxii
Identities for products of Gauss sums over finite fields.
Evans R. J. : Discrete Math. 36 (1981), 239-245. cv-2
On additive partitions of sets of positive integers.
Evans R. J. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 537-560. O
Ramanujan´s second notebook : Asymptotic expansions for hypergeometric series and related functions.
Evans R. J. : J. Math. Anal. Appl. 147 (1990), 97-121. v
Theta function identities.
Evans R. J. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 341-357. O
Multidimensional beta and gamma integrals.
Evans R. & Ismail M. & Stanton D. : Canadian J. Math. 34 (1982), 1011-1024. cxxi
Coefficients in expansions of certain rational functions.
Evans R. J. & Stanton D. : SIAM J. Math. Anal. 15 (1984), 1010-1020. xliii3
Asymptotic formulas for zero-balanced hypergeometric series.
Evgrafov M. A. : 1957 / 1961 Gordon and Breach. O
Asymptotic Estimates and Entire Functions.
Eynden Ch. Vanden : Amer. Mat. Monthly 94 (1987), No.7, 652-656. O
Applications of a Product Identity to Sums of Squares and Partitions.
Ewell J. A. : Amer. Math. Monthly 66 (1981), 270-272. cxxvii
An easy proof of the triple-product identity.
Ewell J. A. : Proc. Amer. Math. Soc. 91 (1984), 37-40. #155
A formula for Ramanujan´s tau function.
Ewell J. A. : Amer. Math. Monthly 97 (1990), No.3, 219-220. O
A New Series Representation for Zeta(3).
Ewell J. A. : Canad. Math. Bull. 34 (1991), 60-66. #173
On values of the Riemann zeta function at integrals arguments.
Ewell J. A. : Rocky Mount. J. Math. 25 (1995), 1287-1293. cxlvii
Arithmetical consequences of a sextuple product identity.
Ewell J. A. : Proc. Amer. Math. Soc. 125 (1997), No.12, 3769-3771. cxlviii
On an identity of Ramanujan.
Ewell J. A. : Proc. Amer. Math. Soc. 126 (1998), 421-423. #171
A note on a Jacobian identity.
Ewell J. A. : Rocky Mountain J. Math. 28 (1998), No.2, 453-461. #166
On Ramanujan's tau function.
Ewell J. A. : Proc. Amer. Math. Soc. 128 (2000), No.3, 723-726. #166
New representation of Ramanujan´s tau function.
Exton H. : 1983 Ellis-Horwood. O
Q-hypergeometric Functions and Applications.
Fabrykowski J. : Amer. Math. Monthly 95 (1988), No.6, 537-539. O
On Continued Fractions and a Certain Example of a Sequence of Continuous Functions.
Facenda-Aguirre J. A. & Freniche-Ibañez F. J. : 2002 Editorial Piramide. O
Integración de funciones de varias variables.
Fair W. : J. Approx. Theory 5 (1972), 74-76. lxiv / cxiii
A convergence theorem for noncommutative continued fractions.
Faivre C. : J. Theorie Nombres Bordeaux 5 (1993), No.2, 323-332. xciv / civ
Sur la mesure invariante de l´extension naturelle de la transformation des fractions continues.
Faivre C. : Arch. Math. (Basel) 70 (1998), No.6, 455-463. cxlvii
A central limit theorem related to decimal and continued fraction expansion.
Faivre C. : J. Number Theory 68 (1998), No.1, 21-28. cxlvii
The rate of convergence of approximations of a continued fraction.
Faltings G. : B. Engquist & W. Schmid : Mathematics Unlimited, 2001 and Beyond. Springer 2001. 449-454. O
Diophantine Equations.
Faraut J. : Contemporary Mathematics 138 (1992), 139-149. #155
Prolengement analytique des séries de Taylor sphérique.
Farhane A. : C. R. Acad. Sci. Paris Ser. I Math. 316 (1993), No.6, 537-540. xcv
Sur la longueur de la periode du developpement de sqrt(n^2+h) en fraction continue.
Farhane A. : Acta Arith. 67 (1994), No.1, 63-67. xxii
Lower bound of the development period of root A(2) N(2)+BN+C in a continued fraction.
Farinha J. : Portugalia Math. 13 (1954), 145-148. lx
Sur la convergence de phi(Ai / 1).
Farinha J. : Rev. da Facul. Cienc. Univ. Coimbra 23 (1954), 17-20. lx
Une condition de convergence uniforme.
Farinha J. : Gaz. Mat. Lisboa 12 (1951), . lx
On a case of continued fractions with complex elements.
Farkas H. F. & Kopeliovich Y. : Israel J. Math. 82 (1993), 133-140. lxxxvi / cxiv
New theta constant identities.
Farkas H. M. & Kra I. : Israel J. Math. 82 (1993), 87-131. xli / cxi / cxxi
Automorphic forms for subgroups of the modular group.
Farkas H. M. & Kra I. : Contemporary Mathematics 240 (1999), 111-130. #164
Ramanujan partition identities.
Farkas H. M. & Kra I. : Contemporary Mathematics 240 (1999), 131-157. #164
A function theoretic approach to the Ramanujan partition identities.
Farkas H. M. & Kra I. : G.S.M. Vol. 37, 2001 American Mathematical Society. O
Theta Constants, Riemann Surfaces and the Modular Group.
Fasenmyer Sister Mary Celine : Bull. Amer. Math. Soc. 53 (1947), 806-812. lxx
Some generalized hypergeometric polynomials.
Fasenmyer Sister Mary Celine : Amer. Math. Soc. 3 (1990), 147-158. lxxvii
A note on pure recurrence relations.
Fatou P. : Acta Math. 30 (1906), 335-400. cxxxii
Séries trigonométriques et séries de Taylor.
Faulconbridge A. J. : The Fibonacci Quarterly 2 (1964), No.4, December, 320. O
Fibonacci summation economics Part I.
Fedoryuk M. V. : 1983-1993 Springer Verlag. O
Asymptotic Analysis, Linear Ordinary Differential Equations.
Fekete A. E. : Amer. Math. Monthly 101 No.8 (1994), 771-778. O
Apropos ' two Notes on Notation '.
Feigenbaum L. : The Math. Intell. 8 No.1 (1986), 53-56. O
Happy Tercentenary, Brook Taylor.
Feinberg M. : The Fibonacci Quarterly 1 (1963), No.3, October, 70, 71-74. O
Fibonacci-Tribonacci.
Feinberg M. : The Fibonacci Quarterly 2 (1964), No.3, October, 223-227. O
New slants.
Feingold A. & Lepowsky J. : Adv. in Math. 29 (1978), 271-309. cxxi
The Weyl-Kac character formula and power series identities.
Feld J. M. : Annals of Math. 33 (1932), 139-142. cxxii
The expansion of analytic functions in a generalized Lambert series.
Feld J. M. & Newman P. : Bull. Amer. Math. Soc. (2) 36 (1930), 284-288. cxxii
On the representation of analytic functions of several variables as infinite products.
Feller W. : 3rd. Ed. Wiley 1970. O
An Introduction to Probability Theory and its Applications.Volume 1.
Feller W. : 2nd. Ed. Wiley 1966. O
An Introduction to Probability Theory and its Applications. Volume 2.
Feller W. : 1997 Limusa - Wiley. O
Introducción a la teoría de las probabilidades y sus aplicaciones. Volumen 1.
Feng D.J. & Wn J. & Liang J.C. & Tseng S. : Mathematika 44 (1997), No.1, 54-55. cxlviii
Appendix to the paper by Luczak -- a simple proof of the lower bound " On the fractional dimension of sets of c.f.".
Ferguson R. P. : Amer. Math. Monthly 70 (1963), 60-61. lxxxii
An aplication of Stieltjes integration to the power series coefficients of the Riemann zeta-function.
Ferguson H. R. P. : J. Algorithms 8 (1987), 131-145. cv-3
A non-inductive GL(n,z) algorithm that constructs linear relations for no Z-linearly dependent real numbers.
Ferguson H. R. P. & Forcade R. W. : Bull. Amer. Math. Soc. 1 (1979), 912-914. #149
Generalization of the Euclidean algorithm for real numbers to all dimensions higher than two.
Fernandez C. & Vegas J. M. : 1996 Piramide. O
Ecuaciones diferenciales II : Ecuaciones no lineales.
Ferrar W. L. : Compos. Math. 1 (1935), 344-360. xlix
Summation formulae and their relations to Dirichlet series.
Ferrar W. L. : Compos Math. 4 (1936-1937), 394-405. xlvii2
Summation formulae and their relation to Dirichlet´s series - II.
Ferreira Ch. & López J. L. : Journal of Approximation Theory 111 (2001), No.2, August, 298-314. m-01
An Asymptotic Expansion of the Double Gamma Function.
Fichtenholz G. M. : Gordon and Breach, 1970. O
Infinite Series : Rudiments.
Fichtenholz G. M. : Gordon and Breach, 1970. O
Infinite Series : Ramifications.
Fichtenholz G. M. : Gordon and Breach, 1970. O
Functional Series.
Field D. A. : J. Math. Phys. 17 (1976), 843-844. lxiv
Series of Stieltjes, Padé approximants and continued fractions.
Field D. A. : Math. Comp. 31 (1977), 495-502. xxix / lxxvi
Estimates of the speed of convergence of continued fractions expansions of functions.
Field D. A. : Numer. Math. 29 (1978), 261-267. xxix / cx / cxxiv
Error bounds for continued fraction K( 1 / Bn ).
Field D. A. : SIAM J. Numer. Anal. 15 (1978), 444-449. lxiv / cxiii
Error bounds for elliptic convergence regions for continued fractions.
Field D. A. & Jones W. B. : Numer. Math. 19 (1972), 283-302. xxviii
A priori estimates for truncation errors of continued fractions K( 1 / Bn ).
Fielder D. C. : The Fibonacci Quarterly 2 (1964), No.2, April, 115-118. O
Partition enumeration by means of simpler partitions.
Fielder D. C. & Bruckman P. S. : Fibonacci Association 1995. O
Fibonacci entry points and periods for primer 100003-415993.
Fields J. L. : Proc. Edinburgh Math. Soc. 15 (1964), 43-45. cxxxix
A note on the asymptotic expansion of a ratio of gamma functions.
Fields J. L. & Ismail M. E. H. : Math. Comput. 29 (1975), 894-902. cxxvii
Polynomial expansions.
Fields J. L. & Ismail M. E. H. : SIAM J. Math. Anal. 6 (1975), 551-559. #175
On the positivity of some 1F2's.
Fields J. L. & Wimp J. : Math. Comput. 15 (1961), 390-395. cxxvii
Expansions of hypergeometric functions in hypergeometric functions.
Filipponi P. & Brugia O. : The Fibonacci Quarterly 37 (1999), No.3, August, 262-264. O
On the Integers of the Form n(n-1) - 1.
Filipponi P. & Elia M. : The Fibonacci Quarterly 37 (1999), No.4, November, 290-298. O
The factorization of x^5 +- p^2x - k and Fibonacci numbers.
Filipponi P. & Fierro G. : The Fibonacci Quarterly 37 (1999), No.4, November, 326-332. O
On the sequences Tn = Tn-1 + Tn-2 + hn + k.
Filon L. N. G. : J. London Math. Soc. 4 (1929), 313-318. xlii
Micaiah John Muller Hill.
Fine N. J. : Proc. Nat. Acad. Sci. USA 34 (1948), 616-618. cvi
Some new results on partitions.
Fine N. J. : Tohoku Math. J. (2) 8 (1956), 149-164. xlvii2
On a system of modular functions connected with the Ramanujan identities.
Finkelstein M. : Amer. Math. Monthly 94 (1987), No.6, 541-542. O
ln 2 = 1 - 1/2 + 1/3 - 1/4 + ... ( Proof by exhaustion ).
Flach M. : Math. Proc. Cambridge Phil. Soc. 106 (1989), 389-401. lxviii
Periods and special values of the hypergeometric series.
Flajolet P. : Discrete Math. 32 (1980), 125-161. iii
Combinatorial aspects of continued fractions.
Flajolet P. & Françon J. : 1987 Institut National de Recherche en Inform. et en Automat., Rapports de Recherche No. 758. O
Elliptic Functions, Continued Fractions and Doubled Permutations.
Flajolet P. & Françon J. : European J. Combinatorics 10 (1989), No.3, 235-241. xxiv / lxxix
Elliptic Functions, Continued Fractions, and Doubled Permutations.
Flajolet P. & Salvy B. : Experimental Math. 7 (1998), No.1, 15-35. F.ps
Euler Sums and Contour Integral Representations.
Flajolet P. & Schott R. : European J. Combinatorics 11 (1990), No.5, 421-432. xxiv
Nonoverlapping partitions, continued fractions, Bessel functions and a divergent series.
Flajolet P. & Vallee B. : Theoretical Comput. Sci. 194 (1998), No.1-2, 1-34. #161
Continued fraction algorithms, functional operators and structure constants.
Flajolet P. & Vallée B. : CMS Cnf. Proc. 27, Constr. Exper. Non-linear Analysis 2000 AMS ???-???. #166
Continued fractions, comparisions algorithms and fine structure constants.
Flammenkamp A. & Luca F. : Journal of Number Theory 93 (2002), No.2, April, 246-284. m-01
Binomial Coefficients and Lucas Sequences.
Fleming W. : UTM, 2nd. Ed. 1965 / 1977 Springer Verlag. O
Functions of Several Variables.
Foata D. : Publications del Inst. Stat. Univ. Paris 14 (1965), 81-241. cxl
Etude algébrique de certaines problémes d´analyse combinatoire et du calcul des probabilités.
Foata D. : Proc. Amer. Math. Soc. 81 (1981), 143-148. cxxxvii
Further divisibility properties of the q-tangent numbers.
Foata D. & Han G.- N. : Séminaire Lotharingien de Combinatoire 42 (1998), B42o, 12pp. F.ps
The Triple, Quintuple and Septuple Product Identities Revisited.
Foata D. & Schützenberger M. P. : Mathematische Nachrichten 83 (1978), 143-159. #168
Major index and inversion of permutations.
Foda O. & Quano Y. H. : Internat. J. Modern Phys. Ser. A 10 (1995), No.16, 2291-2315. ciii
Polynomial identities of the Rogers-Ramanujan type.
Fokkink R- & Fokkink W. J. & Van de Lune J. : Nieuw Arch. Wiskunde 12 (1994), No.1-2, 13-18. xcv / cx
Fast computation of an alternating sum.
Folland G. B. : 2nd. Ed. J. Wiley 1999. O
Real Analysis : Modern Techniques and Their Applications.
Foote R. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 600-601. O
Commentary : With S. Bachmuth and H. Y. Mochizuki) Burnside metabelian groups. ( Heilbronn).
Ford D. & McKay J. : Proc. Indian Acad. Sci. (Math. Sci.) 99 (1989), 221-229. xliii2
Ramifications of Ramanujan´s work on n-products.
Ford K. : The Ramanujan Journal 2 (1998), No.1/2, 59-66. O
Sums and Products from a Infinite Set of Real Numbers.
Ford K. : The Ramanujan Journal 2 (1998), No.1/2, 67-151. O
The Distribution of Totients.
Ford L. R. : Amer. Math. Monthly 45 (1938), 586-601. xlv
Fractions.
Ford L. R. : Amer. Math. Monthly 46 (1939), 586-587. #162
Cows and Cosines.
Ford W. B. : Macmillan N.Y. 1916. O
Studies on Divergent Series and Summability.
Ford W. B. : University Michigan Press, 1936. O
The Asymptotic Developments of Functions Defined by MacLaurin Series.
Forrester P. J. : Rocky Mt. J. Math. 13 (1983), 557-572. li
Extensions of several summation formulae of Ramanujan using the calculus of residues.
Forsyth A. R. : Messenger of Math. 12 (1883), 134-138. liii
The elliptic functions of 1/3 K.
Forsyth A. R. : Quart. J. Pure & Appl. Math. 21 (????), 261-280. cxxxiii
Some double infinite converging series.
Forsyth A. R. : 3rd. ed. Macmillan. O
A Treatise on Differential Equations.
Forsyth A. R. : Cambridge University Press 1918. O
Theory of Functions of a Complex Variable.
Forsyth A. R. : J. London Math. Soc. 3 (1928), 101-112. lxviii /
????? : J. W. L. Glaisher.
Fort T. : Clarendon Press, Oxford University Press, 1930. O
Infinite Series.
Fort T. : Amer. Math. Monthly 49 (1942), 37-44. #162
Summability and the definition of a limit.
Fort T. : 1948 Oxford University Press. O
Finite Differences and Difference Equations in the Real Domain.
Fort T. : Macmillan and Co. N. Y. 1963. O
Trigonometry and Elementary Transcendental Functions.
Foster D. M. E. & Phillips G. M. : J. Math. Analysis & Appl. 101 (1984), 575-581. cxxvii
A generalization of the Archimedean double sequence.
Foster D. M. E. & Phillips G. M. : Math. Comput. 42 (1984), 183-191. cxxvii
The arithmetic-harmonic mean.
Fowler D. H. : Arch. Hist. Exact. Sci. 41 (1991), No.3, 189-233. lxxii
An approximation techniques and its use by Wallis and Taylor.
Fowler D. : Amer. Math. Monthly 103 (1996), No.1, 1-17. O
The binomial coefficient function.
Fox C. : Proc. London Math. Soc. (2) 26 (1927), 201-210. lxv
The expression of hypergeometric series in terms of similar series.
Fox C. : Proc. London Math. Soc. (2) 27 (1928), 380-400. cxli
The asymptotic expansion of generalized hypergeometric functions.
Frame J. S. : Amer. Math. Monthly 56 (1949), 98-103. xxviii
Continued fractions and matrices.
Frame J. S. : Amer. Math. Monthly 56 (1949), 529-???. cxlvi
An approximation to the quotient of gamma functions.
Frame J. S. : Amer. Math. Monthly 60 (1953), 293-305. xxviii
The solutions of equations by continued fractions.
Francis E. C. & Littlewood J. E. : 1928-1953 Deighton Bell. O
Examples in Infinite Series with Solutions.
Franel J. & Landau E. : Nach. Gessell. Wiss. Göttingen (1924), 198-206. lxx
Les suites de Farey et le problème des nombres premiers.
Frank E. : Amer. J. Math. 68 (1946), 89-108. ii
Corresponding type continued fractions.
Frank E. : Bull. Amer. Math. Soc. 52 (1946),144-157. xxx
On the zeros of polynomials with complex coefficients.
Frank E. : Trans Amer. Math. Soc. 62 (1947), 272-283. xl
On the real parts of the zeros of complex polynomials and applications to continued fraction ...
Frank E. : Bull. Amer. Math. Soc. 55 (1949), 384-390. lxix
Orthogonality properties of C-fractions.
Frank E. : Proc. Amer. Math. Soc. 3 (1952), 921-936. iv2
On the properties of certain continued fractions.
Frank E. : Trans. Amer. Math. Soc. 81 (1956), 453-476. iv2
A new class of continued fractions expansions for ratios of hypergeometric functions.
Frank E. : Trans. Amer. Math. Soc. 88 (1958), 288-300. i
A new class of continued fraction expansions for the ratios of Heine functions.
Frank E. : Trans. Amer. Math. Soc. 95 (1960), 17-26. iv2
A new class of continued fractions expansions for the ratios of Heine functions II.
Frank E. : Trans. Amer. Math. Soc. 96 (1960), 312-321. iv2
A new class of continued fractions expansions for the ratios of Heine functions III.
Frank E. : Numer. Math. 4 (1962), 85-95. xii
On continued fraction expansions for binomial quadratic surds.
Frank E. : Numer. Math. 4 (1962), 303-309. xii
On continued fraction expansions for binomial quadratic surds II.
Frank E. : Numer. Math. 5 (1963), 113-117. xii
On continued fraction expansions for binomial quadratic surds III.
Frank E. : Univ. Lisboa Revista Fac. Ci. A (2) 10 (1963), 75-89. xii / ?
Newton´s formula and approximants of continued fraction expansions.
Frank E. : Univ. Lisboa Revista Fac. Ci. A (2) 12 (1967/68), 145-159. xii / ?
Continued fraction expansions with rationals elements for binomial quadratic surds.
Frank E. : Math. Ann. 181 (1969), 74-80. xii
Continued fraction expansions for imaginary quadratic surds.
Frank E. : Math. Comp. 23 (1969), 429-435. lxvii
Computer use in continued fraction expansions.
Frank E. : J. Mathematical and Physical Sci. 4 (1970), 83-107. xii / ?
Continued fraction expansions of prescribed period of binomial quadratic surds.
Frank E. : Lecture Notes Math. 419 (1974), 110-119. xl
Continued fraction expansion for the ratios of hypergeometric functions evaluated on computers.
Frank E. : Inter. Congres of Math. ICM Helsinki 1978, (?). lxxi / ?.
Continued fraction expansion for k-th roots. (?).
Frank E. & Perron O. : Proc. Amer. Math. Soc. 5 (2) (1954), 270-283. O
Remark on a certain class of continued fractions.
Frank E. & Sharma A. : J. Reine Angew Math. 219 (1965), 62-64. xii
Continued fraction expansions and iterations of Newton formula.
Franklin F. : C. R. Acad. Sci. Paris 82 (1881), 448-450. cvi / xcii
Sur le développement du produit infini (1-x) (1-x^2) (1-x^3) ... .
Frasén A. & Wrigge S. : Math. of Comp. 34 (1980), 553-566. lxxxvii / cxvi
High-precision values of the gamma function and some related coefficients.
Franzen N. R. : J. Approx. Theory 6 (1972), 254-263. lxiv / cxiii
Some convergence results for the Padé approximants.
Freitag H. T. : The Fibonacci Quaterly 37 (1999), No.1, February, 46. O
The Eighth International Conference on Fibonacci Numbers and their Applications.
Freitag H. T. & Filipponi P. : The Fibonacci Quarterly 37 (1999), No.2, May, 128-134. O
Division of Fibonacci Numbers by k.
Frey G. : Ann. Univ. Saraviensis 1 (1986), 1-40. lxxiv
Links between stable elliptic curves and certain Diophantine equations.
Frey G. : Proc. Ramanujan Cent. Inter. Conf. , Annamalainagar 1987, Ramanujan Math. Soc. (1988), 31-44. O
L-series of elliptic curves: Results, conjectures and consequences.
Fricke R. : Math. Annalen 40 (1892), 469-502. xciv
Neue Beiträge zur Transformationstheorie der elliptischen functionen.
Friedlander J. B. & Iwaniec H. : The Rademacher Legacy to Math., Contemp. Math. A.M.S. 166 (1994), 295-299. O
A note on character sums.
Friesen Ch. : Proc. Amer. Math. Soc. 103 No.1 (1988), 9 -14. xvi
On continued fractions of given period.
Friesen Ch. : Acta Arith. 59 (1991), No.4, 365-370. xxii
Legendre symbols and continued fractions.
Friesen Ch. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 99-105. O
A special case of Cohen-Lenstra heuristics in function fields.
Frobenius G. : J. Reine Angew. Math. 90 (1881), 1-17. lxxvi
Ueber Relationen Zwischen den Näherungsbrüchen von potenzreihen.
Froda A. : Math. Scand. 12 (1963), 199-208. #155
Critères paramétriques d´irrationalité.
Fröhlich A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 592-597. O
The Papers of Dsicriminants of Cubic Fields.
Fröhlich A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 599. O
Commentary : On the averages of some arithmetical functions of two variables.
Fuchs B. A. & Shabat B. V. : Addison-Wesley 1964. O
Functions of a Complex Variable and some their Applications. Volume 1.
Fuchs B. A. & Levin V. I. : Addison-Wesley 1961. O
Functions of a Complex Variable, Volume 2.
Fulman J. : Proc. Amer. Math. Soc. 128 (2000), No.1, 17-25. #166
The Rogers-Ramanujan identities, the finite general linear groups and the Hall-Little polynomials.
Fulmek M. : Séminaire Lotharingien de Combinatoire 45 (2001), Article B45b, 5pp. F.ps
A continued Fraction Expansion for a q-Tangent Function.
Fürlinger J. & Hofbaner J. : J. Combin. Theory Ser. A 40 (1985), 248-264. cxxxvii
q-Catalan numbers.
Gabutti B. : Numer. Math. 43 (1984), 439-461. lxxxvii / cxvi
On two methods for accelerating convergence of series.
Gabutti B. : Computing 34 (1985), 107-116. lxxxi1
An algorithm for computing generalized Euler´s transformations of series.
Gabutti B. & Lyness J. N. : Numer. Math. 48 (1986), 199-220. #174
Some generalizations of the Euler-Knopp Transformation.
Galambos J. : Quart. J. Math. Oxford (2) 23 (1972), 147-151. lxiii
The distribution of the largest coefficient in continued fraction expansions.
Gallego-Lupiañez F. : Journal of Computational and Applied Mathematics 136 (2001), Issue 1-2, 1 November, 255-258. m-01
Continued Fractions and order-preserving homeomorphism.
Gallucci M. A. & Jones W. B. : J. Approx. Theory 17 (1976), 366-392. lxiv / cxiii
Rational approximation corresponding to Newton series (Newton-Padé approximants).
Galway W. F. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta...(Eds.), 1999 AMS, 107-110. O
An asymptotic expansion of Ramanujan.
Ganatsion Ch. : Nonlinear-Analysis Theory, Meth. & Appl. 30 (1997), No.4, 2051-2059. #150
On G-continued fractions with identically distributed rests.
Gandhi J. M. : Amer. Math. Monthly 68 (1961), 757-760. xlv
The nonvanishing of Ramanujan´s tau-function.
Gandhi J. M. : Amer. Math. Monthly 70 (1963), 265-274. xlv
Congruences for p-sub-r of n and Ramanujan´s tau function.
Garabedian H. L. : Annals. of Math. (2) 32 (1931), 83-??. cxxxviii
On the relation between certain methods of summability.
Garabedian H. L. & Wall H. S. : Trans. Amer. Math. Soc. 48 (1940), 185-207. xxxvii
Hausdorff methods of summation and continued fractions.
Garabedian H. L. & Wall H.S. : Northwestern University Studies in Math. and Phys. Sci. Vol.1 (1941), 89-132. lxxxviii
Topics in continued fractions and summability.
García-Merallo F. : Paraninfo-Thomson Learning 2001. O
Matemática Discreta.
Gargantini I. & Henrici P. : Math. Comp. 21 (1967), 18-29. xxx
A continued fraction algorithm for the computation of higher transcendental functions complex..
Garibotti G. R. & Grinstein F. F. : J. Comp. Appl. Math. 9 (1983), 193-200.xxviii
Recents results relevant to the evaluation of infinite series.
Garret K. & Ismail M. E. H. & Stanton D. : Adv. In Appl. Math. 23 (1999), No.3, 274-299. #166 & #169
Variations of the Rogers-Ramanujan identities.
Garsia A. : Houston J. Math. 7 (1981), 205-237. vi1
A q-analogue of the Lagrange inversion formula.
Garsia A.M. & Haiman M. & Tesler G. : Sém. Lotharingien de Combinatoire 42 (1998), B42m, 45pp.
Explicit Plethystic Formulas for Macdonald q,t-Kostka Coefficients.
Garsia A. M. & Milne S. C. : J. Combinatorial Theory Ser. A 31 (1981), 289-339. liii
A Rogers-Ramanujan bijection.
Garsia A. M. & Milne S. C. : Proc. Nat. Acad. Sci. USA 78 (1981), 2026-2028. cxxiii
A method for constructing bijections for classical partition identities.
Garsia A. & Remmel J. : Houston J. Math. 12 (1986), 503-523. vi1
A novel form of the q-Lagrange inversion.
Garvan F. G. : J. Austral. Math. Soc. Ser. A 36 (1984), 316-334. L-3-?
A simple proof of Watson´s partition congruences for powers of 7.
Garvan F. G. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 29-45. O
Combinatorial interpretations of Ramanujan´s partition congruences.
Garvan F. G. : Trans. Amer. Math. Soc. 305 (1988), 47-77. lxxxvi / cxiv
New combinatorial interpretations of Ramanujan´s partition congruences mod 5, 7, and 11.
Garvan F. G. : Proc. on q-series & partitions, March 7-11 1988, IMA Vol. 18, Springer (1989), 77-98. O
Some Macdonald-Metha integrals by brute force.
Garvan F. G. : Trans. Amer. Math. Soc. 322 (1990), 79-94. #156
The crank of partitions mod 8, 9 and 10.
Garvan F. G. : Manuscripta Math. 84 (1994), No.3-4, 343-359. civ / cxix
Generalizations of Dyson´s rank and non-Rogers-Ramanujan partitions.
Garvan F. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 245-264. O
Cubic modular identities of Ramanujan , hyperg. functions and analogues of the arithmetic-geometric mean iteration.
Garvan F. G. : J. Symbolic Comp. 20 (1995), 517-536. lxxiii
Ramanujan´s theorems of elliptic functions to alternative bases -- A symbolic excursion.
Garvan F. G. : J. Math. Anal. Appl. 195 (1995), 354-375. lxxxvi / cxiv
A combinatorial proof of the Farkas-Kra theta function identities and their generalizations.
Garvan F. G. : Séminaries Lotharingien de Combinatoire 42 (1998), B42d, 27pp. F.ps
A q-product tutorial for a q-series Maple package.
Garvan F. G. : Trans. Amer. Math. Soc. 305 (1998), No.1, 47-77. #178
New combinatorial interpretation of Ramanujan's partitions congruences mod 5, 7 and 11.
Garvan F. G. & Ismail M. E. H. (eds.) : Proc. Conf. Univ. of Florida, Gainesville, Nov. 11 to 13, 1999. 2001 Kluwer. O
Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics.
Garvan F. & Kim D. & Stanton D. : Invent. Math. 101 (1990), 1-17. #174
Cranks and t-cores.
Garvan F. & Stanton D. : Math. of Comput. 55 (1990), No.191, 299-311. #170
Sieved partition functions and q-binomial coefficients.
Garver R. : Amer. Math. Monthly 39 (1932), 533-535. xlv
A square root method and continued fractions.
Gasper G. : Annals of Math. 93 (1971), 117-132. cxxxvi
Positivity and the convolution structure for Jacobi series.
Gasper G. : SIAM J. Math. Anal. 12 (1981), 196-200. lxxii
Summation formulas for basic hypergeometric series.
Gasper G. : SIAM J. Math. Anal. 16 (1985), 1061-1071. cxxiii
Roger´s linearization formula for the continuous q-ultraspherical polynomials and quadratic transformation formulas.
Gasper G. : Trans. Amer. Math. Soc. 312 (1989), 257-277. lxxii
Summation transformation, and exapnsion formulas for bibasic series.
Gasper G. : Proc. on q-series & partitions, March 7-11, 1988, IMA Vol. 18, Springer (1989), 15-34. O
Bibasic summ., transf. and expan. formulas, q-analogues of Clausen´s formula and nonnegative basic hyperg. series.
Gasper G. : Special Functions, q-Series and Related Topics, M.E.H. Ismail... (Eds.), A.M.S. 1997, 55-70. O
Elementary Derivations of Summation and Transformation Formulas for q-Series.
Gasper G. & Rahman M. : Canadian J. Math. 37 (1985), 551-576. cxxviii
An indefinite summation formula and some quadratic, cubic and quartic summation and transformation formulas.
Gasper G. & Rahman M. : SIAM J. Math. Anal. 17 (1986), 970-999. cxxiii
Positivity of the Poisson kernel for the continuous q-Jacobi polyno. and some quadratic transf. for basic hyperg. series.
Gasper G. & Rahman M. : Canadian J. Math. 42 (1990),No.1, 1-27. cxxxvii
An indefinite bibasic summation formula and some quadratic, cubic, and quartic summat and transformation formulas.
Gasper G. & Rahman M. : Canad. J. Math. 42 (1990), 1-27. xlvii2
An indefinite bibasic summation formula and some quadratic transformation formulas.
Gasper G. & Trebels W. : Trans. Amer. Math. Soc. 231 (1977), 117-132. cxxxvi
Multiplier criteria of Marcinkiewicz type for Jacobi expansions.
Gastmans R. & Troost W. : Simon Stevin 55 (1981), 205-219. lxxvii
On the evaluation of polylogarithmic integrals.
Gates L. W. : Math. Gazette 64 (1980), 86-89. lxxxiii
Summing square roots.
Gauss C. F. : Math. Ann. 57 (1903), 6-34. lix
Mathematisches Tagebuch 1796-1814.
Gauthier B. : Séminaire Lotharingien de Combinatoire 43 (1999), S43a, 10pp. F.ps
HYPERG : a Maple package for manipulating hypergeometric series.
Gautschi W. : SIAM Review 9 (1967), 24-82. lxv
Computational aspects of three-term recurrence relations.
Gautschi W. : SIAM J. Numer. Anal. 7 (1970), 187-198. lxxi
Efficient computation of the complex error function.
Gautschi W. : Math. Comp. 31 (1977), 994-999. xxix / cxii
Anomalous convergence of a continued fraction for ratios of Kummer functions.
Gautschi W. : Math. Comp. 40 (1983), 337-342. xxix / cxii
On the convergence behaviour of continued fractions with real elements.
Gautschi W. : Appl. Math. Letters 4 (1991), No.5, 47-51. xcvi
Comment on the paper " A continued fraction approximation of the modified Bessel function, Parthasarathy P.R. ...".
Gautschi W. : Math. Of Comput 57 (1991), 309-324. #170
A class of Slowly convergent series and their summation by Gaussian quadrature.
Gautschi W. : Math. Of Comput 57 (1991), 325-338. #170
On certain slowly conergent series arrising in plate contact problems.
Gautschi W. : Acta Numerica 1996, Cambridge University Press (1996), 45-119. #170
Orthogonal polynomials: Applications and computation.
Gautschi W. : Journal of Computational and Applied Mathematics 139 (2002), Issue 1, 1 February, 173-187. m-01
Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions.
Gelbart S. : CRM Proc. & Lect. Notes Vol. 1, Murty (Ed.) : Theta functions, AMS (1993), 129-174. O
On theta-series liftings for unitary groups.
Gelbart S. & Soudry D. : Proc. Indian Acad. Sci. (Math.Sci.) 97 (1987), 67-74. O
On Whittaker models and the vanishing of Fourier coeffients of cups forms.
George C. : Problem Books in Mathematics, Springer Verlag 1984. O
Exercises in Integration.
Georgonne J. D. : Ann. Math. Pures et Appl. 9 (1818), 261-270. xlviii
Sur les fractions continues.
Gerard B. & Roberts L. : Amer. Math. Monthly 105 (1998), No.2, 163-167. #154
Graphical discovery of a new identity for Jacobi polynomials.
Geronimo J. S. : SIAM J. Math. Anal. 25 (1994), No.2, 392-419. cxxxiii
Scattering theory, orthogonal polynomials and q-series.
Gerono C. : Nouv. Ann. Math. 1 (1842), 1-20. lxiii
Fractions continues.
Gerono C. : Nouv. Ann. Math. 18 (1859), 122-125. lxiii
De quelques questions d ´analyse indéterminée.
Gerono C. : Nouv. Ann. Math. 18 (1859), 153-158. lxiii
De quelques questions d ´analyse indéterminée.
Gerst I. : Amer. Math. Monthly 76 (1969), No.3, 273-275. lxxx
???????????.
Gervais B. : 1998 Editions Eyrolles. O
Les Carrés Magiques de 5.
Gessel I. : Trans. Amer. Math. Soc. 257 (1980), 455-482. viii
A noncommutative generalization and q-analog of the Lagrange inversion formula.
Gessel I. : J. Numbewr Theory 14 (1982), 362-368. #170
Some congruences for the Apéry numbers.
Gessel I. M. : Proc. on q-series & partitions, March 7-11 1988, IMA Vol. 18, Springer (1989),159-176. O
Generalized Rook polynomials and orthogonal polynomials.
Gessel I. : J. Symbolic Comput. 20 (1995), 537-566. cxi
Finding identities with the WZ method.
Gessel I. & Krattenthaler C. : Trans. Amer. Math. Soc. 349 (1997), 429-479. #171
Cylindric partitions.
Gessel I. & Stanton D. : SIAM J. Math. Anal. 13 (1982), 295-308. li
Strange evaluations of hypergeometric series.
Gessel I. & Stanton D. : Trans. Amer. Math. Soc. 277 (1983), 173-201. viii
Applications of q-Lagrange inversion to basic hypergeometric series.
Gessel I. & Stanton D. : J. Comb. Theory Ser. A 38 (1985), 87-90. lxxx
Short proofs of Saalschütz´s and Dixon´s theorems.
Getz J. : The Ramanujan Journal 5 (2001), No.1, March, 47-51. O
Extension of a Theorem of Kiming and Olsson for the Partition Function.
Giannozzi P. & Grosso G. & Moroni S. & Pastori Parravicini G. : Appl Num. Math 4 (1988),273-295. O
The ordinary and matrix continued fractions in the theoretical analysis of Hermitian...
Gibson G. A. : Proc. Edinburgh Math. Soc. (1) 41 (1922-1923), 2-25. xlviii2
James Gregory´s mathematical work : a study based chiefly on this letters.
Gibson G. A. : Proc. Edinburgh Math. Soc. (2) 1 (1927), 1-18. cxxix
Sketch of the history of mathematics in Scotland to the end of the 18th century. I.
Gibson G. A. : Proc. Edinburgh Math. Soc. (2) 1 (1927), 71-93. cxxix
Sketch of the history of mathematics in Scotland to the end of the 18th century. II.
Gilewicz J. : J. of Mathematical Sciences (N.Y.) 90 (1998), No.5, 2393-2397. cv-3
Continued fractions as the best tool to estimate the Padé approximant error.
Gilewicz J. & Leopold E. : J. Approx. Theory 43 No.1 (1985), 1-14. xv
Location of the zeros of polynomials satisfying three-term recurrence relations I.
Gilewicz J. & Magnus A. P. : Rocky Mount. J. Math. 21 (1991), No.1, 227-233. xcvi
Sharp inequalities for the Padé approximant error in the Stieltjes case.
Gilewicz J. & Magnus A. P. : J. Comput. & Appl. Math. 49 (1993), No.1-3, 79-84. ci / upv-i1
Inverse Stieltjes iterates and errors of Pade approximants in the complex plane.
Gill J. : Trans. Amer. Math. Soc. 176 (1973), 479-487. i
Infinite composition of Möbius transformations.
Gill J. : Proc. Amer. Math. Soc. 47 (1973), 119-126. xxix / cxii
The use of attractive fixed points in accelerating the convergence of limit periodic continued fractions.
Gill J. : Bull. Calcuta Math. Soc. 69 (1977), 331-340. xlvi / xliii
A generalization of certain corresponding continued fractions.
Gill J. : Math. Scand. 43 (1978), 74-80. lv
Enhancing the convergence region of a sequence of bilinear transformations.
Gill J. : Proc. Analytic Theory Continued Fractions, Norway 1981, Lect. Notes Math. 932 (1982), 67-70. O
Convergence acceleration for continued fractions K(An/1)with lim An=0.
Gill J. : Proc. Analytic Theory Continued Fractions, Norway 1981, Lect. Notes Math. 932 (1982), 71-73. O
Truncation error analysis for continued fractionsK(An/1), where root(|An|) + roo(|An-1|) < 1.
Gill J. : Appl. Numer. Math. 4 (1988), No.2-4, 297-308. O
Limit periodic iteration.
Gill J. : Appl. Numer. Math. 8 (1991), No.6, 469-476. xli / upv-i1
The use of sequence ... in computing fixed points of continued fractions, products and series.
Gill J. : Rocky Mount. J. Math. 21 (1991), No.1, 235-244. xcvi
The use of repulsive fixed points to analytically continue certain functions.
Gill J. : Bull. Calcuta Math. Soc. 84 (1992), No.2, 159-166. xcv / ?
Partial limit periodic behavior in continued fractions and other.
Gill J. : Proc. C. F. & O. F. , Norway 1992, Dekker LNPAM 154 (1994), 129-139. O
Sequences of linear fractional transformations and reverse continued fractions.
Gillespie R. P. : University Math. Text, 1939 Oliver and Boyd. O
Integration.
Gillespie R. P. : University Math. Text, 1951 Oliver and Boyd. O
Partial Differentiation.
Gindikin S. G. : Quantum The Magazine of Math and Sci. 8 (1998), No.4, 4-9. #151 / #155
Ramanujan the phenomenon : India´s inspired mathematician.
Ginsburg J. : Scripta Mathematica 11 (1945), 340-353. lxxviii
Iterated exponentials.
Girstmair K. : Amer. Math. Monthly 97 No.2 (1990), 136-138. O
A Theorem on the Numerators of the Bernoulli Numbers.
Glaeske H. J. : Acta Arithm. 20 (1972), 133-145. lxxxiii
Eine einheitliche herleitung einer gewissen klasse von transformationsformeln der analytischen zahlentheorie I.
Glaeske H. J. : Acta Arithm. 20 (1972), 253-265. lxxxiii
Eine einheitliche herleitung einer gewissen klasse von transformationsformeln der analytischen zahlentheorie II.
Glaisher J. W. L. : Quart. J. Math. (Oxford) 11 (1871), 328-343. li
On the summation by definite integrals of geometrical series of the second and higher orders.
Glaisher J. W. L. : Proc. London Math. Soc. 4 (1872), 48-56. li
On the constants that occur in certain summations by Bernoulli´s series.
Glaisher J. W. L. : Mess. Math. 1 (1872), 25-30. xlix
On the history of Euler´s constant.
Glaisher J. W. L. : Mess. Math. 2 (1873), 138-142. xxxviii
On the deduction of series from infinite products.
Glaisher J. W. L. : Mess. Math. 2 (1873), 153-157. xxxviii
Remarks on certain series occurring in a paper "On the deduction of series from infini. products.
Glaisher J. W. L. : Mess. Math. 2 (1873), 64. xlix
errata " On the history of Euler´s constant.
Glaisher J. W. L. : Proc. London Math. Soc. 5 (1874), 78-88. ix
On the transformation of continued products into continued fractions.
Glaisher J. W. L. : Mess. Math. (2) 3 (1874), 137. lxxi
A continued fraction for tan nx.
Glaisher J. W. L. : Mess. Math. (2) 4 (1875), 65-68. lxxi
Note on continued fractions for tan nx.
Glaisher J. W. L. : Quart. J. Pure & Appl. Math. 13 (1875), 255-259. xxi
Numerical values of certain continued fractions.
Glaisher J. W. L. : Mess. Math. 6 (1876-1877), 71-76. li
On a numerical continued product.
Glaisher J. W. L. : Mess. Math. 6 (1876-1877), 189-192. li
Further note on certain numerical continued products.
Glaisher J. W. L. : Mess. Math. 6 (1877), 102-113. liii
On some elliptic functions identities.
Glaisher J. W. L. : Proc. London Math. Soc. 8 (1877), 200-204. li
On the numerical value of a certain series.
Glaisher J. W. L. : Quart. J. Pure & Appl. Math. 15 (1878), 151-157. xxxi
A theorem in trigonometry.
Glaisher J. W. L. : Proc. London Math. Soc. 9 (1878), 197-202. lxxi
Generalized form of certain series.
Glaisher J. W. L. : Mess. Math. (2) 7 (1878), 66-67. lxxi-15
Theorem relating to the difference between the sums of the even and uneven divisors of a number.
Glaisher J. W. L. : Mess. Math. (2) 7 (1878), 67-68. lxxi
On some continued fractions.
Glaisher J. W. L. : Mess. Math. 12 (1883), 43-48. xxxi
Proof of the addition equation for elliptic integrals of the second kind by means of the q-series.
Glaisher J. W. L. : Mess. Math. 12 (1883), 158-170. lxxvi
A theorem in partitions.
Glaisher J. W. L. : Quart. J. Pure & Appl. Math. 19 (1883), 145-157. cxxxiii
A system of integrals involving elliptic functions.
Glaisher J. W. L. : Proc. Cambridge Philos. Soc. 5 (1884), 108-120. xxxi
On the sum of the divisors of a number.
Glaisher J. W. L. : Mess. Math. 14 (1884), 102-108. cxxxiii
Note on a class of formulae derivable from q-series in elliptic functions.
Glaisher J. W. L. : Mess. Math. 14 (1884), 156-163. cxxxiii
Expresions for the first five powers of the series in which the coeff. are the sums of the divisors of the exponents. I.
Glaisher J. W. L. : Mess. Math. 15 (1885), 33-36. cxxxiii
Expresions for the first five powers of the series in which the coeff. are the sums of the divisors of the exponents. II.
Glaisher J. W. L. : Proc. Cambridge Philos. Soc. 5 (1884-1885), 184-208. liv
On the developements of K', E', J', G', in powers of the modulus.
Glaisher J. W. L. : Proc. Cambridge Philos Soc. 5 (1884-1885), 232-250. liv
On the developements of K´, E', J', G', in powers of the modulus. (cont.).
Glaisher J. W. L. : Quarterly J. Math. 20 (1885), 313-361. lviii
On the quantities K, E, J, G, K', E', J', G', in elliptic functions.
Glaisher J. W. L. : Mess. Math. 16 (1887), 145-149. xxxi
On the process of squaring the q-series for kp sn u , kp cn u , p dn u.
Glaisher J. W. L. : Mess. Math. 18 (1889), 1-84. xxxi
On the series which represent the twelve elliptic and the four zeta functions.
Glaisher J. W. L. : Mess. Math. 20 (1890-1891), 129-135. xxxi
Recurring relations involving sums of power of divisors.
Glaisher J. W. L. : Mess. Math. 20 (1890-1891), 177-181. xxxi
Recurring relations involving sums of power of divisors (second paper).
Glaisher J. W. L. : Proc. London Math. Soc. 22 (1891), 143-171. xxxi
On the q-series derived from the elliptic and zeta functions of 1/3 k and 1/4 k.
Glaisher J. W. L. : Mess. Math. 22 (1893), 71-83. cxxxiii
Note on Mr. Kleiber´s functions Ki and Gi.
Glaisher J. W. L .: Mess. Math. 22 (1893), 97-109. cxxxiii
On certain series and definite integrals.
Glaisher J. W. L. : Mess. Math. 22 (1893), 109-???. cxxxiii
Development in powers of k´^2 - k^2.
Glaisher J. W. L. : Mess. Math. 23 (1894), 176-184. li
On series involving inverse even powers of subeven and supereven numbers.
Glaisher J. W. L. : Quart. J. Math. 26 (1894), 33-47. lxxi
On the series 1/3^2 - 1/5^2 + 1/7^2 + 1/11^2 - 1/13^2 - & C.
Glaisher J. W. L. : Quart. J. Math. 26 (1894), 48-65. lxxi
On the series 1/3 + 1/5 - 1/7 + 1/11 - 1/13 + & C.
Glaisher J. W. L. : Mess. of Math. 24 (1895), 1-16. lxxi
On the constants which occurs in the formula for 1^2.2^2....n^n.
Glaisher J. W. L. : Quart. J. Math. 27 (1895), 270-337. lxxi
On products and series involving prime numbers only.
Glaisher J. W. L. : Quart. J. Math. 28 (1896), 1-174. lxxi
On products and series involving prime numbers only (cont.).
Glaisher J. W. L. : Mess. Math. 26 (1897), 152-182. cxxiii
On definite integrals connected with the Bernoullian functions.
Glaisher J. W. L. : Mess. of Math. 28 (1898), 1-17. lxxxiv
Table of the values of 1/2 2/3 3/5 ... x-1/x , the denominators being the series of prime numbers.
Glaisher J. W. L. : Mess. Math. 29 (1900), 49-63. cxxxiii
Fundamental theorems relating to the Bernoullian numbers. I.
Glaisher J. W. L. : Mess. Math. 29 (1900), 129-???. cxxxiii
Fundamental theorems relating to the Bernoullian numbers. II.
Glaisher J. W. L. : Mess. Math. 33 (1903), 1-19. li
On the series 1 - 1/3^2 + 1/5^2 - 1/7^2 + 1/9^2 - & C.
Glaisher J. W. L. : Mess. Math. 33 (1903), 20-30. li
On the series 1 - 1/3^4 + 1/5^4 - 1/7^4 + 1/9^4 - & C.
Glaisher J. W. L. : Quart. J. Math. (Oxford) 34 (1903), 87-98. li
On methods of increasing the convergence of certain series for Pi , Pi^2 , & C.
Glaisher J. W. L. : Quart. J. Math. (Oxford) 34 (1903), 252-347. li
Methods of increasing the convergence of certain series of reciprocals.
Glaisher J. W. L. : Mess. Math. 36 (1906), 49-60. li
On the series 1 - 1/3^2 + 1/5^2 - 1/7^2 + 1/9^2 - & C. ( Second Part ).
Glaisher J. W. L. : Quart. J. Math. 37 (1906), 173-198. xliv
On series for 1/pi and 1/pi^2.
Glaisher J. W. L. : Quart. J. Math. 37 (1906), 329-349. lxxi
On the integral INT(k^n K dk).
Glaisher J. W. L. : Proc. London Math. Soc. (2) 5 (1907), 479-490. #150
???.
Glaisher J. W. L. : Quart. J. Pure & Appl. Math. 40 (1908), 57-??. #150
On the number of partitions of a number into a given number of parts.
Glaisher J. W. L. : Mess. Math. 42 (1913), 19-34. xxxi
Summation of certain numerical series.
Glaisher J. W. L. : Mess. Math. 42 (1913), 35-49. li
Numerical values of the series 1 - 1/3^n + 1/5^n - 1/7^n + ...
Glaisher J. W. L. : Mess Math. 44 (1915), 1-10. xxxi
Relations connecting quantities of the form 1 + 2^-n + 3^-n + 4^-n + & C.
Glass T. F. & Leighton W. : Bull. Amer. Math. Soc. 49 (1943), 133-135. xxxv
On the convergence of a continued fraction.
Glasser M. L. : J. Indian Math. Soc. 37 (1973), 351-353. #162
Generalization of a definitive integral of Ramanujan.
Glasser M. L. : J. Research Nat. Bur. Stand. (B) Math. Sci. 80 B (1976), 313-333. xciv
Definite integrals of the complete elliptic integral K.
Gleissberg W. : Math. Zeitschrift 28 (1928), 372-382. cxvi
Über einen Satz von Herrn I. Schur.
Gmeiner J. A. : Monat. für Math. u. Phys. 14 (1903), 261-274. xciii
Konvergenzsätze für alternierende unendliche kettenbrüche.
Gmeiner J. R. : S. B. Kaiserl. Akad. Wiss. Wien Math. Nat. Kl. 117 Abt. IIa (1908), 27-51. xc
Kriterien der divergenz und convergenz von alternierenden unendlichen kettenbrüchen.
Godefroy M. : Gauthier-Villars 1901. F / e-B
La fonction gamma, Theorie, historie, bibliographie.
Godefroy M. : Nouv. Annales Math. (4) 2 (1902), 64-65. cxxvii
Sur la convergence de la série hypergéometrique.
Godefroy M. : 1903 Gauthier Villars Paris. e-B
Théorie Éleméntaire des Séries.
Goetgheluck P. : Amer. Math. Monthly 94 (1987), No.4, 360-365. O
Computing binomial coefficients.
Goldberg R. R. : 1964 Blaisdell Publishing Company. O
Methods of Real Analysis.
Goldberg R. R. : Cambridge Tracts Math. No. 52, 1961/1970 Cambridge University Press. O
Fourier Transforms.
Goldfeld D. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 159-173. O
Special values of derivatives of L-functions.
Goldman J. R. : Adv. Math. 72 (1988), No.2, 239-260. xxvii
Hurwitz sequences, the Farey process, and general continued fractions.
Goldreich O. : B. Engquist & W. Schmid : Mathematics Unlimited, 2001 and Beyond. Springer 2001. 507-524. O
Computational Complexity.
Goldstein L. J. & Razar M. J. : J. Pure Appl. Algebra 13 (1978), 13-17. xvii
Ramanujan type formulas for zeta(2k - 1).
Goldstine H. H. : 1977 Springer Verlag. O
A History of Numerical Analysis, from the 16th through the 19 Century.
Göllnitz H. : J. Reine Angew. Math. 225 (1967), 154-190. lviii
Partitionen mit Differenzenbedingungen.
Golomb J. W. : Canad. J. Math. 15 (1963), 475-478. cxiv
A special case, On the sum of the reciprocals of the Fermat numbers and related irrationalities.
Golub A. P. : Ukrainian Math. J. 41 (1989), No.6, 690-694. cxxix
Generalized moment representations of basic hypergeometric series.
Goncalves J. V. : Rev. Facul. Cienc. Univ. Lisboa (2) 2 (1952), 297-335. lxi
Sur les fractions continues réelles.
Goncalves J. V. : Rev. Facult. Cienc. Univ. Lisboa (2) 4 (1954), 273-282. lxi
Sur le développement des irrationalites quadratiques en fraction continue.
Gonzalez C. D. : J. Number Theory 40 (1992), No. 1, 38-59. lxxxvi / cxi
Class numbers of quadratic function fields and continued fractions.
Good I. J. : Proc. Cambridge Phil. Soc. 37 (1941), 199-228. lxi
The fractional dimension theory of continued fractions.
Good I. J. : Proc. Cambridge Philos. Soc. 58 (1962), 160. cxxxviii
A short proof of MacMahon´s " master theorem ".
Good I. J. : Math. Proc. Cambridge Philos. Soc. 105 (1989), No.3, 607. xciii
Corrigenda " The fractional dimensional theory of continued fractions.".
Good I. J. : The Fibonacci Quarterly 32 (1994), No.3, 284-287. O
A Symmetry Property of Alterneting Sums of Products of Reciprocals.
Goodman F.M. & O´Hara K.M. : Proc. q-series & partitions, March 1988, IMA Vol. 18, Springer (1989), 57-66. O
On the Gaussian polynomials.
Goodman F. M. & O´Hara K. M. & Stanton D. : J. Combin. Theory Ser. A 60 (1992), No.1, 143-146. cxxxii
A unimodality identity for Schur function.
Goodspeed F. M. : Quart. J. Math. (Oxford) 10 (1939), 210-218. xliv
Some generalizations of a formula of Ramanujan.
Gordon B. : Amer. J. Math. 83 (1961), 393-399. ii
A combinatorial generalization of the Rogers-Ramanujan identities.
Gordon B. : Quart. J. Math. (Oxford) (2) 12 (1961), 285-290. lxxx
Some identities in combinatorial analysis.
Gordon B. : Duke Math. J. 32 (1965), 741-748. i
Some continued fractions of the Rogers-Ramanujan type.
Gordon B. & Hughes K. : Contemporary Mathematics 143 (1993), 415-430. #174
Multiplicative properties of eta-products.
Gordon B. & Ono K. : The Ramanujan Journal 1 (1997), No.1, 25-34. O
Divisibility of Certain Partition Functions by Powers of Primes.
Gordon B. & McIntosh R. J. : The Ramanujan Journal 1 (1997), No.4, 431-448. O
Algebraic Dilogarithm Identities.
Gordon B. & Sinor D. : Number Theory, Madras (1987), ed.: K. Alladi, Lect. Notes Math. 1395 (1989), 173-200. O
Multiplicative properties of eta-products.
Gordon R. A. : Amer. Math. Soc. 1994. O
The Integral of Lebesgue, Denjoy, Perron and Henstock.
Gordon R. A. : Amer. Math. Monthly 105 (1998), No.2, 107-118. #154
The use of tagged partitions in elementary real analysis.
Görlich ?. & Markett C. : Indag. Math. 44 (1982), ???-???.
A convolution structure for Laguerre Series.
Gosper R. W. Jr. : Algorithms and Complexity : J.F. Traub (Ed.) AP (1976), 121-151. liii
A calculus of series rearrangements.
Gosper R. W. Jr. : Proc. Nat. Acad. Sci. USA 75 (1978),40-42. lxxiii
Decision procedure for indefinite hypergeometric summation.
Gosper R. Wm. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 607-609. O
Some identities, for your amusement.
Gosper R. W. Jr. : Special Functions, q-Series and Related Topics, M.E.H. Ismail... (Eds.), A.M.S. 1997, 71-76. O
INT (n/4, m/6) ln gamma(z) dz.
Gosper R.M. & Ismail M.E.H. & Zhang R. : Illinois J. Math. 37 (1993), 240-277. xlvii2 / xli / lxxvi
On some strange summation formulas.
Goto Y. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 175-186. O
On the orders of the Brauer groups of some weighted diagonal surfaces.
Gould H. W. : Math. Scand. 6 (1958), 226-230. cviii
Note on a paper of Sparee Anderson.
Gould H. W. : Duke Math. J. 27 (1960), 71-76. lxxvii
Generalization of a theorem of Jensen concerning convolutions.
Gould H. W. : Duke Math. J. 28 (1961), 193-202. lxxvii
A series transformation for finding convolutions identities.
Gould H. W. : Math. Scand. 9 (1961), 90-94. cviii
The q-series generalization of a formula of Sparee Anderson.
Gould H. W. : Duke Math. J. 29 (1962), 393-404. lxxvii
A new convolution formula and some new orthogonal relations for the inversion of series.
Gould H. W. : The Fibonacci Quarterly 1 (1963), No.1, February, 30-33. O
Operational recurrences involving Fibonacci numbers.
Gould H. W. : The Fibonacci Quarterly 1 (1963), No.2, April, 1-16. O
Generating functions for products of power of Fibonacci numbers.
Gould H. W. : The Fibonacci Quarterly 1 (1963), No.4, December, 31-34. O
Fibonacci exponentials and generalizations of Hermite polynomials.
Gould H. W. : The Fibonacci Quarterly 2 (1964), No.3, October, 203. O
Associativity and the golden section.
Gould H. W. : The Fibonacci Quarterly 2 (1964), No.4, December, 241-260. O
Binomial coefficients, the Bracket function and composition with relatively prime summands.
Gould H. W. : The Fibonacci Quarterly 37 (1999), No.2, May, 135-140. O
The Girard-Waring Power Sum Formulas for Symmetric Functions and Fibonacci Sequences.
Gould H. W. & Hsu L. C. : Duke Math. J. 40 (1973), 885-891. cxxxviii
Some new inverse series relations.
Gould H. & Kaucký J. : J. Combinatorial Theory 1 (1966), 233-248. cxxxix
???.
Gould H. W. & Mays M. E. : J. Math. Analysis & Appl. 101 (1984), 611-621. cxxvii
Series expansions of means.
Goulden I. P. & Jackson D. M.: Graph Theory and Combinatorics. AP 1984 , 161-169. viii / xliii3
A combinatorial proof of a continued fraction expansion theorem from the Ramanujan Noteb.
Gousart E. : Ann. Sci. École Norm. Sup. 10 (1881), 3-142. lxxiii
Sur l´equation différentielle lineaire qui admit pour intégral la série hypergéometrique.
Gouvêa F. Q. : Amer. Math. Monthly 101 No.3 (1994), 203-222. O
" A Marvelous Proof ". ( FLT).
Grabiner D. J. : Monatsch Math. 114 (1992), No.1, 35-61. xiii
Farey nets and multidimensional continued fractions.
Grabiner D. J. : The Ramanujan Journal 3 (1999), No.1, 73-81. O
Continued Fractions and Unique Additive Partitions.
Grabiner J. V. : Amer. Math. Monthly 104 (1997), No.5, 393-411. #154
Was Newton´s calculus a dead end ?, The continental influence of Maclaurin´s treatise of fluxions.
Grabner P.J. & Kiss P. & Tichy R. F. : 4º Conf. Canad. Number Theory Assoc. 1994, 1995 AMS, 187-195. O
Diophantine approximation in terms of linear recurrent sequences.
Grabner P. J. & Thuswaldner J. M. : Abhand. Math. Sem. Univ. Hamburg 66 (1996), 281-287. #151
Analytic continuation of a class of Dirichlet series.
Grabner P. J. & Thuswaldner J. M. : The Ramanujan Journal 4 (2000), No.2, June, 201-220. O
On The Sum of Digits Function for Number Systems with Negative Bases.
Grady M. & Newman M. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 265-273. O
Residue periodicity in subgroup counting functions.
Graf J. A. : Annali di Mat. Pure & Appl. (2) 23 (1895), 45-65. xliv
Relation entre la fonction besseliene de 1ª espéce et une fraction continue.
Graf J. H. : Giornali Mat. Battaglini 36 (1898), 233-261. cxxx
Quelques notions sur la séries hypergeométrique de Gauss.
Gragg W. B. : Numer. Math. 11 (1968), 370-379. lxiv / cxiii
Truncation error bounds for g-fractions.
Gragg W. B. : Bull. Amer. Math. Soc. 76 (1970), 1091-1094. lvii
Truncation error bounds for Pi-fractions.
Gragg W. B. : Rocky Mount. J. Math. 4 (1974), 213-226. liii
Matrix interpretations and applications of the continued fraction.
Gragg W. B. & Warner D. D. : SIAM J. Numer. Anal. 20 (1983), 1187-1197. v
Two constructive results in continued fractions.
Graham R. L. : The Fibonacci Quarterly 2 (1964), No.1, February, 1-10. O
A property of Fibonacci numbers.
Gram J. P. : Acta Mathematica 17 (1893), 301-314. cxix
Rapport sur quelques calculs entrepris par M. Bertelsen et concertnant les nombres premiers.
Gram J. P. : Acta Mathematica 27 (1903), 289-304. xl
Sur les zéros de la fonction zeta(s) de Riemann.
Granero F. : Mc Graw Hill 1996. O
Cálculo infinitesimal, una y varias variables.
Granero F. : Prentice Hall, 2001. O
Cálculo Integral y Aplicaciones.
Granville A. : 4º Conf. Cand. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 197-207. O
On the number of solutions to the generalized Fermat equation.
Granville A. & Soundararajan K. : The Ramanujan Journal 2 (1998), No.1/2, 283-298. O
A Binary Additive Problem of Erdös and the Order of 2 mod p^2.
Granville W. A. & Smith P. F. & Longley W. R. : Ginn & Co. 1929. O
Elements of Differential and Integral Calculus.
Gray J. J. : Expos. Math. 2 (1984), 97-130. lxii
A commentary on Gauss´s mathematical diary, 1796-1814.
Green J. A. : Routledge & Kegan Paul London 1958. O
Sequences and Series.
Greenberg R. & Marsh D. C. B. & Danese A. E. : Amer. Math. Monthly 74 (1967), 80-81. #168
A zeta-function summation.
Greene J. : Trans. Amer. Math. Soc. 301 (1987), No.1, 77-101. #170
Hypergeometric series over finite fields.
Greene J. & Stanton D. : J. Number Theory 23 (1986), No.1, 136-148. cxxx
A character sum evaluation and Gaussian hypergeometric series.
Greene R. E. & Krantz S. G. : 2nd ed. 1999/2002 American Mathematical Society. O
Function Theory of One Complex Variable.
Greenhill A. G. : Proc. London Math. Soc. 19 (1887-1888), 301-364. lxxix
Complex multiplication moduli of elliptic functions.
Greenhill A. G. : Proc. London Math. Soc. 21 (1889-1890), 403-422. lxxix
Table of complex multiplication moduli.
Greenhill G. : Math. Ann. 68 (1910), 208-219. xxxvii
The seventeen-section of the elliptic functions.
Greewood R. E. : The Fibonacci Qaurterly 2 (1964), No.1, February, 13-14. O
Lattice paths and Fibonacci numbers.
Greither C. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta...(Eds.), 1999 AMS, 111-120. O
Improving Ramachandra´s and Levesque´s unit index.
Greminger H. : L´Enseignement Math. 29 (1930), 255-259. lxi
Sur le nombre e.
Grimaldi R. P. : 3rd. Ed. Pearson Prentice-Hall 1998. O
Matemáticas Discretas y Combinatoria, Una Introducción con Aplicaciones.
Grinspan P. : The Ramanujan Journal 5 (2001), No.1, March, 21-45. O
A Measure of Simultaneous Approximation for Quasi-Modular Functions.
Grisel G. : C. R. Acad. Sci. Ser. I Math. 319 (1994), No.7, 659-664. xciv
Sur la fraction continue alpha^n.
Grisel G. : C. R. Acad. Sci. Ser. I Math. 322 (1996), No.4 (Feb 15), 301-306. xxiii
Length of the continued fraction of the powers of a rational fraction.
Grisel G. : Acta Arith. 74 (1996), No.2, 161-176. xxii
Sur la longueur de la fraction continue de alfa ^n. Length of the cont. fract of a real quadrat. numb. raised to the nth. power.
Grisel G. : Acta Arithm. 85 (1998), No.1, 35-49. cxlvii
Lenght of continued fractions in principal quadratic fields.
Gronwall T. H. : Math. Annalen 72 (1912), 228-243. cxxxviii
Ueber die Gibbssche Erscheinung und die Trigonometrischen summen sin x + 1/2 sin 2x + 1/3 sin 3x +...+ 1/n sin
Gronwall T. H. : Trans. Amer. Math. Soc. 14 (1913), 113-122. cxix
Some asymptotic expanssion in the theory of numbers.
Gross B. H. & Zagier D. B. : J. Reine Angew. Math. 355 (1985), 191-220. lxxxv
On singular moduli.
Grossjean C. C. : Bull. Soc. Math. Belgique 29 (1977), 3-49. lxxix
An infinite set of recurrence formulae for the divisor sums, Part I.
Grossjean C. C. : Bull. Soc. Math. Belgique 29 (1977), 95-138. lxxix
An infinite set of recurrence formulae for the divisor sums, Part II.
Grossjean C. C. : Simon Stevin 53 (1979), 39-70. #162
Disproving a conjecture about an asymptotic formula of Ramanujan involving the divisor sums.
Grossjean C. C. : Simon Stevin 58 (1984), 219-241. xciii
Proof of a remarkable identity.
Grossjean C. C. : J. Comput. Appl. Math. 37 (1991), No.1-3, 43-56. viii
On a formula proposed by Ramanujan.
Grossjean C. C. & Sharma R. K. : Simon Stevin 62 (1988), No.2, 97-125. cxxxiv
Transformation formulae for hypergeometric series in two variables. II.
Grossjean C. C. & Srivastava H. M. : J. Comput & Appl. Math. 37 (1991), No.1-3, 287-299. upv-i1
Some transformation and reduction formulas for hypergeometric series in several variables.
Grosswald E. : Trans. Amer. Math. Soc. 89 (1958), 113-128. civ / cix
Some theorems concerning partitions.
Grosswald E. : Michigan Math. J. 7 (1960), 97-122. ciii
Partitions into prime powers.
Grosswald E. : Acta Arithm. 21 (1972), 25-34. lii
Comments of some formulae of Ramanujan.
Grosswald E. : J. Number Theory 4 (1972), 225-235. #174
Remarks concerning the values of the Riemann zeta function at integral, odd arguments.
Grosswald E. : Proc. Indian Acad. Sci. (Math. Sci.): Ramanujan B.C.V. 97 (1987), 75-84. O
On prime representing polynomials.
Grünbaum F. A. : The Ramanujan Journal 5 (2001), No.3, September, 263-270. O
Dsicrete Models of the Harmonic Oscillator and a Dsicrete Analogue of Gauss' Hypergeometric Equation.
Grünbaum F. A. & Haine L. : Special Functions, q-Series..., M.E.H. Ismail... (Eds.), A.M.S. 1997, 77-81. O
On a q-Analogue of Gauss Equation and some q-Riccati Equations.
Grytczuk A. : Tsukuba J. Math. 16 (1992), No.2, 315-319. ciii
On Ramanujan sums on arithmetical semigroups.
Guerzhog P. : Acta Arithm. 81 (1997), No.1, 11-23. #150
On Ramanujan congruences between special values of Hecke and Dirichlet L-functions.
Guetzlaff C. : J. Reine Angew. Math. 12 (1834), 173-177. lxxxiv
Aequation modularis pro transformatione functionum ellipticarum septimi ordinis.
Guicciardini N. : Cambirdge University Press, 1989. O
The Development of Newtonian Calculus in Britian 1700-1800.
Guinard A. P. : J. London Math. Soc. 14 (1939), 97-???. #156
A formula for zeta(s) in the critical strip.
Guinand A. P. : Annals of Math. 42 (1941), 591-603. lxxxiii
On Poisson´s summation formula.
Guinand A. P. : Quart. J. Math. (Oxford) 15 (1944), 11-23. lxxix
Functional equations and self-reciprocal functions connected with Lambert series.
Guinand A. P. : Quart. J. Math. (Oxford) 16 (1945), 59-63. cxli
Gauss sums and primitive characters.
Guinand A. P. : Quart. J. Math. (Oxford), (2) 6 (1955), 156-160. lxxix
Some rapidly convergent series for the Riemann zeta-function.
Gunaratne H. S. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 209-214. O
Periodicity of Kummer congruences.
Gupta A. : J. Indian Math. Soc. New Series 58 (1992), No.1-4, 249-262. xcvi
A q-extension of "incomplete" gamma function.
Gupta A. : Proc. Indian Acad. Sci. (Math. Sci.) 103 (1993), 257-267. lxii2
On certain Ramanujan´s Mock theta functions.
Gupta A. : Ganita 44 (1993), 87-100. lxii4
A study of transformations for a special type of 3phi2 series and mock theta functions.
Gupta A. K. & Mittal A. K. : ??? (1999?) 1-23. www1
Bifurcating Continued Fractions II.
Gupta D. P. & Ismail M. E. H. & Masson D. R. : Canad. J. Math. 43 (1991), No.6, 1263-1280. xcvi
Associated continuous Hahn polynomials.
Gupta D. P. & Ismail M. E. H. & Masson D. R. : J. Math. Anal. Appl. 171 (1992), 477-497. #159
Contiguous relations, basic hypergeometric functions and orthogonal polynomials II : Assoc. big q-J. polyn.
Gupta D. P. & Ismail M. E. H. & Masson D. R. : J. Comput. & Appl. Math. 68 (1996), 115-149. #161
Contiguous relations, basic hyperg. funct. and orthog. poly. III : Associated continuous dual q-Hall polyn.
Gupta D. P. & Masson D. R. : Proc. Amer. Math. Soc. 112 (1991), No.3, 717-727. lxxviii
Exceptional q-Askey-Wilson polinomials and continued fractions.
Gupta D. P. & Masson D. R. : SIAM J. Math. Anal. 25 (1994), No.2, 429-440. c / cxviii
Watson´s basic analogue of Ramanujan´s entry 40 and its generalization.
Gupta D. P. & Masson D. R. : J. Comput. & Appl. Math. 65 (1995), 157-164. #161
Contiguous relations, continued fractions and orthogonality : On 8phi7 model.
Gupta D. P. & Masson D. R. : Trans. Amer. Math. Soc. 350 (1998), No.2, 769-808. #152
Contiguous relations, continued fractions and orthogonality.
Gupta H. : The Mathematics Students 3 (1935), 71. #162
On a Brodcard-Ramanujan problem.
Gupta H. : Proc. Indian Acad. Sci. (A) 4 (1936), 625-629. xxxiv2
On a conjecture of Ramanujan.
Gupta H. C. : Bull. Calcuta Math. Soc. 35 (1943), 67-70. cxxii
Some self-reciprocal functions.
Gupta H. : Royal Society Mathematical Tables Vol. 4, Cambirdge University Press. 1958. O
Tables of Partitions.
Gupta H. : J. Research of the National Bureau of Standards Sec. B 74 (1970), 1-29. cxlvi
Partitions - A Survey.
Gupta H. N. : Amer. Math. Monthly 92 (1985), No.8, 575-576. Ó
A theorem in combinatorics and Wilson´s theorem.
Gupta M. : Ganita 39 (1988), No.1-2, 11-15, (1990). lxii3 / ?
Basic hypergeometric series and generalization of a q-series transformation of Ramanujan.
Gupta M. : Proc. Indian Acad. Sci. 59 (1989), 573-585. cv
Certain basic hypergeometric series transformations, mock theta functions and related identities.
Gupta M. : Proc. Nat. Acad. Sci. India Sect. A 60 (1990), No.3, 297-305. xxiv
Certain basic hypergeometric series transformations, mock-theta functions and related identities. II.
Gupta M. : Mathematikca Balkanica ( N. S. ) 4 (1990), No.4, 321-324. cxxxiv / cxlviii
Some remarks on a paper of A. Verma and C. M. Joshi : Some remarks on summation of basic hypergeometric series.
Gupta R. & Williams K.S. (Eds.) : CRM Proceedings & Lecture Notes Vol. 19, 1999 AMS, xxxii + 392 pp. O
Number Theory Fifth Conf. Canad. Number Theory Assoc. August 17-22, 1996, Carleton Univ., Ottawa, Ontario.
Gupta R. C. : Centaurus 31 (1988), 114-125. l2
New Indian values of Pi from the Manava Sulba Sutra.
Gupta R. C. : Ganita-Bharati 14 (1992), No.1-4, 68-71. xxxiv2
On the remainder term in the Madhava-Leibniz´s series.
Gupta R. C. : Ganita-Bharati 15 (1993), No.1-4, 14-40. xci
Rectification of ellipse from Mahavira to Ramanujan.
Gurak S. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 309-333. O
Factors of period polynomials for finite fields, I.
Gurak S. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 215-227. O
On higher-order pseudoprimes of Lehmer type.
Gurak S. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta...(Eds.), 1999 AMS, 121-131. O
On the middle factor of the period polynomial for finite fields.
Gustafson R. A. : SIAM J. Math. Anal. 18 (1987), 495-530. cxxi / cxxx
A Whipple´s series in U(n) and multivariable hypergeometric orthogonal polynomials.
Gustafson R. A. : SIAM J. Math. Anal. 18 (1987), No.6, 1576-1596. cxxiii
Multilateral summation theorems for ordinary and basic hypergeometric series in U(n).
Gustafson R. A. : Ramanujan Inter. Sym. on Analysis, Pune 1987, ed. N.K. Thakare, Macmillan (1989), 185-224. O
The Macdonald ident. for affine root syst. of classi. type and hyperg. S. very-well-poised on semisimple Lie algebras.
Gustafson R. A. : SIAM J. Math. Anal. 21 (1990), No.2, 510-522. cxxiii
A summation theorem for hypergeometric series very-well-poised on G2.
Gustafson R. A. : Trans. Amer. Math. Soc. 341 (1994), No.1, 69-119. cxxxii
Some q-beta and Mellin-Barnes integrals on compact Lie groups and Lie algebras.
Gustafson R. A. & Krattenthaler C. : J. Comput. & Appl. Math. 68 (1996), No.1-2, 151-158. #161
Heine transformations for a new kind of basic hypergeometric series in U(n).
Gustafson R. A. & Krattenthaler C. : Special Functions, q-Series..., M.E.H. Ismail... (Eds.), A.M.S. 1997, 83-89. O
Determinat Evaluations and U(n) Extensions of Heine´s 2phi1-Transformations.
Gustafson R. A. & Milne S. C. : Adv. Math. 48 (1983), 177-188. cxxi
Schur functions, Good´s identity and hypergeometric series well-poised in Su(n).
Gustafson R. A. & Milne S. C. : Adv. in Math. 57 (1985), 209-225. cxi
A new symmetry for Beidenharn´s G-functions and classical hypergeometric series.
Gutknecht M. H. : Numer. Math. 56 (1989), No.6, 547-589. xx / cxix
Continued fractions associated with the Newton-Padé table.
Gutnik L. A. : Acta Arithm. 42 (1983), 42 (1983), 255-264. xli / cv
The irrationality of certain quantities involving zeta(3).
Guy R. K. : Amer. Math. Monthly 95 No.8 (1988), 697-712. O
The Strong Law of Small Numbers.
Guy R. K. : Amer. Math. Monthly 102 No.9 (1995), 771-781. O
My Favorite Elliptic Curve: A Tale of Two Types of Triangles.
Guy R. K. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 385-390. O
Conference problems session conducted by J. L. Selfridge.
Guy R. K. : Amer. Math. Monthly 104 (1997), No.2, 180-185. #154
Reviews : The Encyclopedia of Integer Sequences of N. J. A. Sloane and S. Plouffe.
Guy R. K. & Selfridge J. L. : Amer. Math. Monthly 105 (1998), No.8, 766-768. #154
Factoring factorial n.
Habsieger L. : Proc. on q-series & partitions, March 7-11 1988, IMA Vol. 18, Springer (1989), 99-108. O
Macdonal conjectures and the Selberg integral.
Hackbusch W. : 1992 Springer Verlag. O
Elliptic Differantial Equations, Theory and Numerical Treatement
Hadamard J. : J. Math. Pures et Appl. (4) 8 (1892), 101-186. cxxxii
Essai sur l´étude des fonctions données par leur développement de Taylor.
Hadamard J. : 1968 Centre National de la Recherche Scientifique. O
Oeuvres Tome I.
Hadamard J. : 1968 Centre National de la Recherche Scientifique. O
Oeuvres Tome II.
Hadamard J. : 1968 Centre National de la Recherche Scientifique. O
Oeuvres Tome III.
Hadamard J. : 1968 Centre National de la Recherche Scientifique. O
Oeuvres Tome IV.
Haenggi P. & Roesel F. & Trautmann D. : J. Comput. Phys. 37 (1980), 242-258. xxviii
Evaluation of an infinite series by use of continued fraction expansion : A numerical study.
Hafner J. L. & Stopple J. : The Ramanujan Journal 4 (2000), No.2, June, 123-128. O
A Heat Kernel Associated to Ramanujan´s Tau Function.
Hag K. : Proc. Amer. Math. Soc. 25 (1970), 247-253. liv
A theorem of T-fractions corresponding to a rational function.
Hag K. : Proc. Amer. Math. Soc. 32 (1972), 491-496. liv
A convergence theorem for limitärperiodisch T-fractions of rational function.
Hagis P. : Trans. Amer. Math. Soc. 102 (1962), 30-62. civ / cix
A problem on partitions with a prime modulus p>=3.
Hagis P. : Amer. J. Math. 85 (1963), 213-222. ciii
Partitions into odd summands.
Hagis P. : Trans. Amer. Math. Soc. 112 (1964), 401-415. civ / cix
On a class of partitions with distinct summands.
Hagis P. : Amer. J. Math. 86 (1964), 317-324. ciii
Partitions into odd and unequal parts.
Hagis P. Jr. : The Fibonacci Quarterly 2 (1964), No.4, December, 267-268. O
An analytic proof of the formula for Fn.
Hagis P. : Trans. Amer. Math. Soc. 118 (1965), 550. civ / cix
A correction of some theorems on partitions.
Hagis P. : Amer. J. Math. 87 (1965), 218-220. ciii
Partitions with odd summands - some comments and corrections.
Hagis P. : Amer. J. Math. 87 (1965), 867-873. ciii
On the partitions of an integer into distinct odd summands.
Hagis P. : Amer. J. Math. 88 (1966), 664-681. ciii
Some theorems concerning partitions into odd summands.
Hagler B. A. : Proc. O. F., M. T. & C. F. V, Brazil 1996, Dekker LNPAM 199 (1998), 179-186. O
Formulas for the moments of some strong moment distributions.
Hagler B.A. & Jones W.B. & Thron W.J. : C. F. V, Brazil 1996, Dekker LNPAM 199 (1998), 187-208. O
Orthogonal Laurent polynomials of Jacobi, Hermite and Laguerre types.
Hahn W. : Math. Nachr. 2 (1949), 4-34. cxxii
Über orthogonal polynome, die q-differenzengleichungen genügen.
Hahn W. : Math. Nachr. 2 (1949), 340-379. lvii
Beiträge zur theorie der Heinischen reihen, die 24 integrale der hypergeometrische q-differenzengleichung, das q-...
Hahn W. : Math. Nachr. 3 (1950), 257-294. cxxxvi
Über die höheren Heineischen reihen und eine einheitliche theorie der sogenannten speziellen funktionen.
Hai Nguyen T. & Marichev O. I. & Srivastava H. M. : J. Math. Anal. & Appl. 164 (1992), 104-115. cxxxvii
A note on the convergence of certain families of multiple hypergeometric series.
Hain R. & MacPherson R. : Illinois J. Math. 37 (1990), 392-475. xli / lxxxii
Higher logarithms.
Hairer E. & Wanner G. : Springer Verlag 1996/2000. O
Analysis by Its History.
Halberstam H. : J. London Math. Soc. 24 (1949), 13-21. #162
Four asymptotic formulae in the theory of numbers.
Halberstam H. : Trans. Amer. Math. Soc. 84 (1957), 338-351. #162
An asymptotic formuale in the theory of numbers.
Haldar K. & Datta B. K. : Internat. J. Math. Educ. Sci. & Tech. 28 (1997), No.1, 123-128. #151
Laplace transform evaluations by Ramanujan´s integral formula.
Hall H. S. & Knight S. R. : Macmillan and Co. Ltd. London 1901. O
Elementary Trigonometry.
Hall H. S. & Knight S. R. : Toronto Macmillan, 1945. O
Elementary Trigonometry.
Hall Jr. M. : Annals Math. 48 (1947), 966-993. iii
On sum and product of continued fractions.
Hall N. A. : J. LondonMath. Soc. 11 (1936), 276. cxxxvi
An algebraic identity.
Hall R. R. & Huxley M. N. : Acta Arithm. 63 (1993), No.1, 79-90. c / cxviii
Dedekind sums and continued fractions.
Hallin M. : Cahiers Centre Etudes Rech. Oper. 32 (1990), No.1-3, 37-54. xcvi
Fractions continues matricielles.
Halmos P. R. : Graduate Text in Mathematics No.18, 1950/1974 Springer Verlag. O
Measure Theory.
Halphen G. H. : Bull. Soc. Math. France 5 (1877), 158-160. xciv
Sur une formule récurrents concernant les sommes des diviseurs des nombres entiers.
Halphen G. H. : C. R. Acad. Sci. Paris 100 (1885), 1451-1454. xlviii2
Sur la convergence d´une fraction continue algebrique.
Halphen G. H. : C. R. Acad. Sci. Paris 106 (1888), 1326-1329. xlviii2
Sur la convergence d´une fraction continue algebrique.
Halphen G. H. : 1886 Gauthier Villars. e-B
Traité des fonctions elliptiques et de leurs applications Tome I.
Halphen G. H. : 1888 Gauthier Villars. e-B
Traité des fonctions elliptiques et de leurs applications Tome II.
Halphen G. H. : 1891 Gauthier Villars. e-B
Traité des fonctions elliptiques et de leurs applications Tome III.
Halter-Koch F. : Arch. Math. 49 (1987), 29-37. xli / cxii
Über Pell´sche Gleichungen und Kettenbrüche.
Halter-Koch F. : Abh. Math. Sem. Univ. Hamburg 59 (1989), 157-169. lxxx
Einige periodische Kettenbruchentwicklungen und Grundeinheiten quadratischer ordnungen.
Halter-Koch F. : J. Number Theory 44 (1993), No.2, 209-213. v
A theorem of Ramanujan concerning binary quadratic forms.
Halton J. H. : The Fibonacci Qaurterly 2 (1964), No.3, October, 217-218. O
On Fibonacci residues.
Hamburger H. : Math. Zeit. 4 (1919), 186-222. lvii
Beitrage zur konvergenztheorie der Stieltjes´schen kettenbrüche.
Hamburger H. : Math. Ann. 81 (1920), 31-45. lv
Ueber die konvergenz eines mit einer potenzreihe assozierten kettenbrüche.
Hamburger H. : Math. Ann. 81 (1920), 235-319. lv
Über eine erweiterung des Stieltjes´schen momentenproblems (i).
Hamburger H. : Math. Ann. 82 (1921), 120-164. lv
Über eine erweiterung des Stieltjes´schen momentenproblems (ii).
Hamburger H. : Math. Ann. 82 (1921), 168-187. lv
Über eine erweiterung des Stieltjes´schen momentenproblems (iii).
Hamburger H. : Math. Annalen 85 (1922), 129-140. cxxxviii
Ueber einige Beziehungen, die mit der functionalgleichung der Riemannschen zeta-function aequivalent sind.
Hamel G. : Arch. Math. Phys. 27 (1918), 37-43. liv
Über einen limitärperiodischen kettenbruch.
Hamilton H. J. : Duke Math. J. 2 (1936), 29-60. lxxxii
Trnasformations of multiple sequences.
Hamilton H. J. : Bull. Amer. Math. Soc. 42 (1936), 275-283. lxxxii
On transformations of double series.
Hammond J. : Proc. London Math. Soc. 7 (1876), 119-135. xcvii
On the sum of the products of r different terms of a series.
Hammond P. R. & Lewis R. P. & Liu Z. G. : Bull. Austral.Math. Soc. 60 (1999), 73-80. #165
Hirschhorn identities.
Han G.N. & Randrianarivony A. & Zeng J. : Sém. Lotharingien de Combinatoire 42 (1998), B42e, 22pp. F.ps
Un autre q-analogue des nombres d´Euler.
Han S. -P. & Kirfel C. & Nathanson M. B. : The Ramanujan Journal 2 (1998), No.1/2, 271-281. O
Linear Forms in Finite Sets of Integers.
Hancl J. : Amer. Math. Monthly 93 (1986), No.5, 374-375. Ó
A simple proof of the irrationality of pi^4.
Hancl J. : Acta Arithmetica 59 (1991), No.2, 97-104. cxxxv
Expression of real numbers with the help of infinite series.
Hancl J. : J. Number Theory 43 (1993), No.1, 88-92. cxxxv
A criterion for irrational sequences.
Hancl J. : Publ. Math. Debrecen 46 (1995), No.1-2, 27-31. lxxxi3
Continued fractional algebraic independence of sequences.
Hankel H. : Zeit. Math. Phys. 7 (1862), 338-343. xl
Über die transformation von reihen in kettenbrüche.
Hanna M. : Proc. London Math. Soc. Ser.2 28 (1928), 46-52. vi1
The Modular Equation.
Hanschke T. : J. Appl. Probab. 29 (1992), No.4, 838-849. xcv
Markov chains and generalized continued fractions.
Hanumanthachari J. : Number Theory, India (1984), Ed.: K. Alladi, Lect. Notes Math. 1122 (1985), 115-129. O
An extended Nagell totient and related Ramanujan sums.
Harary F. (ed.) : Athenea Series, 1967 Holt Rinehart and Wiston. O
A Seminar on Graph Theory.
Hardy G. H. : Quart. J. Math. 38 (1907), 269-288. lxxxv
On certain oscillating series.
Hardy G. H. : C. R. Acad. Sci. Paris 158 (1914), 1012-1014. xl
Sur les zéros de la fonction zeta(s) de Riemann.
Hardy G. H. : Mess. Math. 44 (1915), 18-21. xxvii
Proof of a formula of Mr. Ramanujan.
Hardy G. H. : Acta Mathematica 42 (1920), 327-339. cxxxix
On two theorems of F. Carlson and S. Wigert.
Hardy G. H. : Proc. Camb. Philos. Soc. 20 (1921), 263-271. xlvi
Note on Ramanujan´s trigonometrical function Cq(n), and certain series of arithmetical functions.
Hardy G. H. : Matematisk Tidsskrift Ser. B (1922), 71-73. cxxxviii
A new proof of the functional equation for the zeta function.
Hardy G. H. : Proc. Cambridge Philos. Soc. (2) 21 (1923), 492-503. xxvii
A chapter from Ramanujan´s note-book.
Hardy G. H. : Proc. London Math. Soc. (2) 22 (1924), XII-XIII. xxvii
Some formulae of Ramanujan.
Hardy G. H. : Proc. Camb. Philos. Soc. 23 (1927), 675-680. xlvi
Note on Ramanujan´s arithmetical function r(n).
Hardy G. H. : J. London Math. Soc. 3 (1928), 238-240. xxvii
A formula of Ramanujan.
Hardy G. H. : Messenger Math. 58 (1929), 159-160. lviii
Dr. Glaisher and the " Messenger of Mathematics ".
Hardy G. H. : Bull. Amer. Math. Soc. 35 (1929), 778-818. cxxxi
An introduction to the theory of numbers.
Hardy G. H. : J. London Math. Soc. 8 (1933), 227-231. cxxxviii
A theorem concerning Fourier transforms.
Hardy G. H. : J. London Math. Soc. 12 (1937), 94-98. xxvii
A formula of Ramanujan in the theory of primes.
Hardy G. H. : J. London Math. Soc. 12 (1937), 314-318. xlv
Another formula of Ramanujan.
Hardy G. H. : Amer. Math. Monthly 44 (1937), 137-155. xxv
The indian mathematician Ramanujan.
Hardy G. H. : Quart. J. Math. 8 (1937), 245-254. xxxi / xliii
Ramanujan and the theory of Fourier transforms.
Hardy G. H. : Proc. Camb. Philos. Soc. 34 (1938), 309-315. xlvi
A further note on Ramanujan´s arithmetical function r(n).
Hardy G. H. : Cambridge University Press. 1940. O1/O2
Ramanujan, Twelve Lectures on Subjects Suggested by his Life and Work.
Hardy G. H. : Oxford University Press 1949. O
Divergent Series.
Hardy G. H. : Collected Papers of S. Ramanujan, Chelsea (1962), xxi-xxxvi. O
Srinivasa Ramanujan (1887-1920).
Hardy G. H. : Clarendon Press Oxford University Press, 1966. O
Collected Papers of G. H. Hardy. Volume I.
Hardy G. H. : Clarendon Press Oxford University Press, 1967. O
Collected Papers of G. H. Hardy. Volume II.
Hardy G. H. : Clarendon Press Oxford University Press, 1969. O
Collected Papers of G. H. Hardy. Volume III.
Hardy G. H. : Clarendon Press Oxford University Press, 1969. O
Collected Papers of G. H. Hardy. Volume IV.
Hardy G. H. : Clarendon Press Oxford University Press, 1972. O
Collected Papers of G. H. Hardy. Volume V.
Hardy G. H. : Clarendon Press Oxford University Press, 1974. O
Collected Papers of G. H. Hardy. Volume VI.
Hardy G. H. : Clarendon Press Oxford University Press, 1979. O
Collected Papers of G. H. Hardy. Volume VII.
Hardy G.H. & Heilbronn H. : J. London Math. Soc. 13 (1938), 302-310. xlii
Edmund Landau.
Hardy G.H. & Littlewood J.E. : Proc. London Math. Soc. (2) 11 (1913), 411-478. xlix
Contributions to the arithmetic theory of series.
Hardy G.H. & Littlewood J.E. : Proc. Cambridge Philos. Soc. 23 (1927), 681-684. lv
Notes on the theory of series (III) : On the summability of the Fourier series of a nearly c. funct.
Hardy G.H. & Littlewood J. E. : Proc. London Math. Soc. (2) 41 (1936), 257-270. xlix
Note on the theory of series (XX) : On Lambert series.
Hardy G. H. & Littlewood J. E. : Proc. Cambridge Philos. Soc. 42 (1946), 85-90. cxl
Notes on the theory of series (XXIV) : A curious power series.
Hardy G. H. & Titchmarsh E. C. : J. London Math. Soc. 6 (1931), 44-48. cix
A note on Parseval´s theorem for Fourier transforms.
Harkness J. & Morley F. : 1893 Macmillan and Co. N.Y. O / e-B
A Treatise on the Theory of Functions.
Harkness J. & Morley F. : Stechert 1898-1924. O / e-B
Introduction to the Theory of Analytic Functions.
Harris V. C. & Styles C. C. : The Fibonacci Quarterly 2 (1964), No.4, December, 277-289. O
A generalization of Fibonacci numbers.
Hart E. & Sanchis L. : The Fibonacci Quarterly 37 (1999), No.1, February, 21-33. O
On the Occurence of Fn in the Zeckendorf Decomposition of nFn.
Hartree D. R. : 2nd ed. 1952 /1958, Oxford at The Clarendon Press, Oxford University Press. O
Numerical Analysis.
Haselgrove C. B. & Leech J. : J. London Math. Soc. 32 (1957), 228-231. lxx
Note on restrcited difference bases.
Hashimoto R. : Journal of Number Theory 90 (2001), No.1, September, 143-153. m-01
Ankeny-Artin-Chowla Conjecture and Continued Fraction Expansion.
Haslam-Jones U.S. : Proc. Edinburgh Math. Soc. 4 (1936), 268-269. xxxvii
Bertram Matin Wilson.
Hassen A. : The Ramanujan Journal 3 (1999), No.2, June, 119-151. O
Log-Polynomial Period Functions for Hecke Groups.
Hastad J. & Just B. & Lagarias J. C. & Schnorr C. P. : SIAM J. Comput. 18 (1989), No.5, 859-881. ci / upv-f1/161
Polynomial time algorithms for finding integer relations among real numbers.
Hata M. : Proc. Japan Acad. Math. Sci. Ser. A 68 (1992), 283-286. lxxxii
Improvement in the irrationality measures of Pi and Pi^2.
Hata M. : Acta Arithm. 63 (1993), 335-349. lxxxvii / cxviii
Rational approximations to Pi and some other numbers.
Hata M. : J. Number Theory 43 (1993), 51-67. lxxxvii / cxviii
A lower bound for rational approximations to Pi.
Haukkanen P. : Annales Acad. Sci. Fennicae Ser. A I ( Dissertationes ) (1988), ???-???. #162
Classical arithmetical identities involving a generalization of Ramanujan´s sum.
Haukkanen P. : Bull. Soc. Math. Belgique Ser. B 43 (1991), No.1, 43-57. xcvii / xcii
On generalizations of some identities of Ramanujan.
Haukkanen P. & McCarthy P. J. : Portugalia Math. 48 (1991), No.1, 53-66. cxlvi
Sums of values of even functions.
Hautot A. : Appl. Numer. Math. 4 (1988), No.2-4, 309-322. O
Convergence acceleration of continued fractions of Poincaré´s type.
Haussmam M & Shapiro H. N. : Comm. Pure & Appl. Math. 42 (1989), 885-889. cxx
On Ramanujan´s right triangle conjecture.
Hayashi T. : Nouv. Ann. Math. (4) 2 (1902), 496-499. xl
Expansions de tan^n (a) et cot^n (a) sous forme de continuants.
Hayashi T. & Kusuba T. & Yano T. : Centaurus 33 (1990), No.2-3, 149-174. l2
The correction of the Madhava series for the circumference of a circle.
Hayden T. L. : Math. Zeitsch. 79 (1962), 376-380. xxx
Some convergence regions for continued fractions.
Hayden T. L. : Proc. Amer. Math. Soc. 14 (1963), 546-552. xxx
A convergence problem for continued fractions.
Hayden T. L. : Numer. Math. 7 (1965), 292-309. xxx
Continued fraction approximation to functions.
Hayden T. L. : Rocky Mount. J. Math. 4 (1974), 367-370. liii
Continued fractions in Banach Spaces.
Hayden T. L. & Merkes E. P. : Proc. Amer. Math. Soc. 16 (1965), 252-257. xxx
On classes de univalent continued fractions.
Hayman W. K. : Oxford Math. Monographs, 1964 Clarendon, at the Oxford University Press. O
Meromorphic Functions.
Hayman W. K. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 566-570. O
The Papers on Analysis.
Heat-Brown D. R. : Number Theory, Bombay (1988), T.I.F.R. - O.U.P. (1989), 41-46. O
Weyl´s inequality, Waring´s problem and Diophantine approximation.
Heawood P. J. : Proc. London Math. Soc. (2) 20 (1922), 233-250. lviii
The classification of rational approximation.
Hegyvári N. & Sárközy A. : The Ramanujan Journal 3 (1999), No.3, September, 303-314. O
On Hilbert cubes in certain sets.
Heilbronn H. A. : E.J. Kani & R. A. Smith (Eds.) : Canad. Math. Soc. Ser. Mono & Adv. Text. Wiley 1988 608pp. O
The Collected Papers of Hans Arnold Heilbronn.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 57-62. O
Über die Verteilung der Primzahlen in Polynomen. Math. Annalen 104 (1931), 794-799.
Heilbronn H. A. : Collected Paper of Hans Arnold Heilbronn, Wiley 1988, 63-69. O
On the Distribution of Prime Numbers in Polynomials. (Translation) : Math. Annalen 104 (1931), 794-799.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 70-99. O
Über den Prinzahlsatz von Hernn Hoheisel. Math. Zeitschrift 36 (1933), 394-423.
Heilbronn H. A. : Collected Papers of Hans ArnoldHeilbronn, Wiley 1988, 100-142. O
On the Prime Number Theorem of Hoheisel. (Translation) : Math. Zeitschrift 36 (1933), 394-423.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 173-174. O
Zu dem Integralsatz von Cauchy. Math. Zeitschrift 37 (1933), 37-38.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 175-176. O
On the Integral Theorem of Cauchy. (Translation) : Math. Zeitschrift 37 (1933), 37-38.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 177-187. O
On the Class-Number in Imaginary Quadratic Fields. Quart. J. Math. Oxford Series, 5 (1934), 150-160.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 252-261. O
Über das Waringsche Problem. Acta Arithmetica 1 (1936), 212-221.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 262-271. O
On Waring´s Problem. (Translation ) : Acta Arithmetica 1 (1936), 212-221.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 338-339. O
On Real Characters. Acta Arithmetica 2 (1937), 212-213.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 340-342. O
On an Inequality in the Elementary Theory of Numbers. Proc. Cambridge Philos. Sco. 33 (1937), 207-209.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 343-344. O
On Dirichlet Series Which Satisfy a Certain Functional Equation. Quart. J. Math. (Oxford) 9 (1938), 194-195.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 345-350. O
On Euclid´s Algorithm in Real Quadratic Fileds. Proc. Cambridge Philos. Soc. 34 (1938), 521-526.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilnbronn, Wiley 1988, 393-400. O
On the Distribution of the Sequences n^2 theta(mod 1). Quart. J. Math. (Oxford), 19 (1948), 249-256.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 401-413. O
On Discrete Harmonic Functions. Proc. Cambridge Philos. Sco. 45 (1949), 194-206.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 414-419. O
On Euclid´s Algorithm in Cubic Self-Conjugate Fields.Proc. Cambridge Philos. Soc. 46 (1950), 377-382.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 420-431. O
On Euclid´s Algorithm in Cyclic Fields. Canadian J. Math. 3 (1951), 257-268.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 432-438. O
On the Average of Some Arithmetical Functions of Two Variables. Mathematika 5 (1958), 1-7.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 439-442. O
On the Representation of Homotopic Classes by Regular Functions. Bull. Acad. Polonaise Sci. 6 (1958), 181-184.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 443. O
Review of " Mathematische Werke" by Erick Hecke. Math. Gazette 45 (1961), 77-78.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 444-447. O
Old Theorems and New Methods in Class-Field Theory. J. London Math. Soc. 37 (1962), 6-9.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 450-454. O
On the Represent of a Rational as a Sum of Four Squares by Means of Regular Funct.. J. London Math. Soc.39 (1964), 72-76.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 466-467. O
Introduction to Papers on Combinatorial Analysis and Sums of Squares. Collected Papers of G.H. Hardy 1(1966), 263-264.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 468-472. O
Introduction to Papers on Waring´s Problem. Collected Papers of G.H. Hardy, Oxford-Clarendon U.P. Vol.1 (1966), 377-381.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 473-474. O
Introduction to Papers on Goldbach´s Problem. Collected Papers of G.H. Hardy, Oxford U.P. Vol.1, (1966), 473-474.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 475-501. O
Zeta-Functions and L-Functions.J.W.S. Cassels & A. Fröhlich Eds. Algebraic Number Theory. Academic Press, 1967, 204-230.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 518-525. O
On the Average Length of a Class of Finite Continued Fractions. Abhad. Zahlent.... E. Landau, (P. Turan Ed.), 1969, 89-96.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 548-550. O
On the 2-Classgroup of Cubic Fields. Studies in Pure Math. (L. Mirsky, Ed.) Academic Press 1971, 117-119.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 551-553. O
On Real Simple Zeros of Dedekind zeta-Functions. Proc. Of the 1972 Number Theory Conference, Colorado, 108-110.
Heilbronn H. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 554-557. O
On Real Zeros of Dedekind zeta-Functions. Canadian J. Math. 25 (1973), 870-873.
Heilbronn H. A. & Bachmuth S. & Mochizuki H. Y. : Collected Papers of H. A. Heilbronn, Wiley 1988, 502-517. O
Burnside Metabelian Groups. Proc. Royal Soc. London A 307 (1968), 235-250.
Heilbronn H. A. & Davenport H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 272-276. O
On the Zeros of Certain Dirichlet Series. I. J. London Math. Soc. 11 (1936), 181-185.
Heilbronn H. A. & Davenport H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 277-282. O
On the Zeros of Certain Dirichlet Series. II. J. London Math. Soc. 11 (1936), 307-312.
Heilbronn H. A. & Davenport H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 283-290. O
On Waring´s Problem for Fourth Powers. Proc. London Math. Soc. 41 (1936), 143-150.
Heilbronn H. A. & Davenport H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 291-295. O
On an Exponential Sum. Proc. London Math. Soc. 41 (1936), 449-453.
Heilbronn H. A. & Davenport H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 296-327. O
On Waring´s Problem : Two Cubes and One Square. Proc. London Math. Soc. 43 (1937), 73-104.
Heilbronn H. A. & Davenport H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 328-337. O
Note on a Result in the Additive Theory of Numbers. Proc. London Math. Soc. 43 (1937), 142-151.
Heilbronn H. A. & Davenport H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 360-368. O
On Indefinite Quadratic Forms in Five Variables. J. London Math. Soc. 21 (1946), 185-193.
Heilbronn H. A. & Davenport H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 369-383. O
On the Minimum of a Bilinear Form. Quart. J. Math. (Oxford) 18 (1947), 107-121.
Heilbronn H. A. & Davenport H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 384-392. O
Asymmetric Inequalities for Non-homogeneous Linear Forms. J. London Math. Soc. 22 (1947), 53-61.
Heilbronn H. A. & Davenport H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 528-531. O
On the Density of Discriminants of Cubic Fields. Bull. London Math. Soc. 1 (1969), 345-348.
Heilbronn H. A. & Davenport H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 532-547. O
On the Density of Discriminats of Cubic Fields II. Proc. Royal Soc. London A 322 (1971), 405-420.
Heilbronn H. A. & Erdös P. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 455-465. O
On the Addition of Residue Classes mod p. Acta Arithmetica 9 (1964), 149-159.
Heilbronn H. A. & Hardy G. H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 351-359. O
Edmund Landau. J. London Math. Soc. 13 (1938), 302-310.
Heilbronn H. A. & Howarth L. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 448-449. O
Prof. Jacques Hadamard For. Mem. R. S. Nature 200 (1963), 937-938.
Heilbronn H. A. & Landau E. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 143-149. O
Bemerkungen zur vortehenden Arbeit von Hernn Bochner. Math. Zeitschrift 37 (1933), 10-16.
Heilbronn H. A. & Landau E. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 150-159. O
Remarks on the Above Article of Bochner. (Translation) : Math. Zeitschrift 37 (1933), 10-16.
Heilbronn H. A. & Landau E. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 160-161. O
Ein Satz über Potenzreihen. Math. Zeitschrift 37 (1933), 17.
Heilbronn H. A. & Landau E. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 162-163. O
A Theorem on Powers Series. (Translation) : Math. Zeitschrift 337 (1933), 17.
Heilbronn H. A. & Landau E. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 164-167. O
Anwendungen der N. Wienerschen Methode. Math. Zeischrift 37 (1933), 18-21.
Heilbronn H. A. & Landau E. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 168-172. O
Applications of the Methd of N. Wiener. (Translation) : Math. Zeitschrift 37 (1933), 18-21.
Heilbronn H. A. & Landau E. & Scherk P. : Collected Papers of H. A. Heilbronn, Wiley 1988, 197-221. O
Alle grossen ganzen Zahlen lassen sich als Summe von höchstens 71 Primzahlen darstellen. Casopis 65 (1936),117-141.
Heilbronn H. A. & Landau E. & Scherk P. : Collected Papers of H. A. Heilbronn, Wiley 1988, 222-251. O
All Large Integers Can Be Represented as a Sum of At Most 71 Prime Numbers. (Translation) : Casopis 65 (1936), 117-141.
Heilbronn H. A. & Linfoot E. H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 188-196. O
On the Imaginary Quadratic Corpora of Class-Number One. Quart. J. Math. (Oxford) 5 (1934), 293-301.
Heilbronn H. A. & Scherk P. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 526-527. O
Sums of Complexes in Torsion-Free Abelian Groups. Canadian Math. Bull. 12 (1969), 479-480.
Heilermann J. B. H. : J. Reine Angew. Math. 33 (1846), 174-188. xxvii
Über die Verwandlung der Reihen in Kettenbrüche.
Heilermann J. B. H. : J. Reine Angew. Math. 46 (1853), 88-95. xxvii
Über die Verwandlung der Kettenbrüche in Reihen.
Heimer R. L. : The Fibonacci Quarterly 2 (1964), No.3, October, 211-214. O
Further comments on the periodicity of the digits of the Fibonacci numbers.
Heine E. : J. Reine Angew. Math. 32 (1846), 205-209. xxvii
Verwandlung von Reihen in Kettenbrüche.
Heine E. : J. Reine Angew. Math. 32 (1846), 210-212. xxvii
Ueber die Reihe...
Heine E. : J. Reine Angew. Math. 34 (1847), 285-328. xxvii
Untersuchung über die Reihe...
Heine E. : J. Reine Angew. Math. 53 (1857), 284-285. lxxvi
Auszug eines schreibens über Kettenbrüche von Herrn E. Heine an den Herausgeber.
Heine E. : J. Reine Angew. Math. 57 (1860), 231-247. lxxvi
Ueber die Zähler und nenner der Näherungswerthe von Kettenbrüche.
Heine E. : J. Reine Angew. Math. 67 (1867), 315-326. lxxi
Mittheilung über Kettenbrüche.
Heine E. : Bde. 1 & 2, 2º Ed. 1879-1961 Physica-Verlag. O
Handbuch der Kugelfunctionen.
Hellegouarch Y. : Canad. J. Math. 40 (1988), No.4, 817-832. xxvii
Notions de base pour l´arithmetique de F ( 1/t ).
Hellegouarch Y. : Investigación y Ciencia No. 237 Jun. 1996, 60-65. O
Fermat, demostrado al fin.
Heller R. & Roach F.A. : Pacific J. Math. 95 (1981), 307-310. xli / lxxxii
A generalization of a classical necessary condition for convergence of continued fractions.
Hellinger E. : Math. Ann. 86 (1922), 18-29. lv
Zur Stieltjesschen kettenbruchtheorie.
Hellinger E. & Toeplitz O. : Math. Ann. 69 (1910), 289-330. lix
Grundlagen für eine theorie der unendlichen matrizen.
Hellinger E. & Toeplitz O. : J. Reine Angew. Math. 144 (1914), 212-238. lviii
Zur ein ordung der kettenbrüchtheorie in die theorie der quadratischen formen von unendlichvielen ...
Hellinger E. D. & Wall H. S. : Ann. of Math. (2) 44 (1943), 103-127. xviii
Contributions to the analytic theory of continued fractions and infinite matrices.
Helstrom C. W. : Amer. Math. Monthly 96 No.7 (1989), 653-655. O
Sol. Probl. 6541 [ 94 (1987), No.3, 304. ] : A Continued Fraction for a Quotient of Bessel Functions.
Helversen-Pasotto A. : Rend. Circ. Mat. Palermo (2) Suppl. No. 30 (1993), 195-200. #163 / #174
Gamma-Function and Gaussian-Sum-Function.
Helversen-Pasotto A. : Séminarie Lotharingien de Combinatoire 33 (1994), B33f, 15pp. F.ps
Gaussche Summen über Endlichen Körpern und Gamma Funktion.
Henberger C. & Le M. : J. Number Theory 78 (1999), No.2, 312-311. #166
On the generalized Ramanujan-Nagell equation.
Hendriksen E. : J. Comput. & Appl. Math. 32 (1990), No.1-2, 125-141. ci / upv-i1
Associated Jacobi-Laurent polynomials.
Hendriksen E. & Njastad O. : J. Math. Anal. Appl. 142 (1989), No.2, 508-520. lxiv / cxiii
A Favard theorem for rational functions.
Hendriksen E. & Njastad O. : Proc. Edinburgh Math. Soc. 32 (1989), No.2, 261-269. lxiii
Positive multipoint Padé continued fractions.
Heng H. C. : Acta Arith. 73 (1995), No.4, 343-355. xxii
On Ramanujans cubic continued fraction.
Henrici P. : 1977 John Wiley and Sons. O
Computational Analysis with the HP-25 Pocket Calculator.
Henrici P. : SIAM J. Math. Anal. 18 (1987), No.6, 1513-1518. cxxiii
A triple product theorem for hypergeometric series.
Henrici P. & Pfluger P. : Numer. Math. 9 (1966), 120-138. lxiv / cxiii
Truncation error estimates for Stieltjes fractions.
Hensley D. : J. Number Theory 33 (1989), No.2, 182-198. ci / cxx
The Hausdorff dimensions of some continued fraction Cantor sets.
Hensley D. : Pacific J. Math. 151 No.2 (1991), 237-255. xvi
The largest digit in the continued fraction expansion of a rational number.
Hensley D. : J. Number Theory 40 No.3 (1992), 336-358. xvi
Continued fractions, Cantor sets, Hausdorff dimension and functional analysis.
Hensley D. : Pacific J. Math. 166 (1994), (No.1 Nov.), 43-54. xx / lxxxii
The distribution mod n of fractions with bounded partial quotients.
Herman E. A. : John Wiley & Sons 1986. O
Convergence, Approximation, and Differential Equations.
Hermite C. : Bull. Sci. Math. (2) 9 (1885),11-13 & Oeuvres IV, 178-180. O
Sur la théorie des fractions continues.
Herschfeld A. : Amer. Math. Monthly 42 (1935), 419-429. ix
On infinite radicals.
Heuchamps E. : Mathesis 45 (1931), Supp. 1-15. lxix / ?
Sur les suites trés générales qui se développent conformément... des réduites d´une fraction continue.
Heuchamps E. : Mathesis 47 (1933), 233-240. lxix
Sur les suites trés générales qui se développent conformément... des réduites d´une fraction continue II.
Heymann W. : Zeit. Math. Phys. 39 (1894), 321-354. lxxii
Über Kettenfunktionen.
Hickerson D. R. : Pacific J. Math. 46 (1973), 429-432. xli / lxxxii
Length of period of simple continued fraction expansion of root(d).
Hickerson D. R. : J. Combin. Theory Ser. A 15 (1973), 351-353. cvi
Identities relating the number of partitions into an even and odd number of parts.
Hickerson D. R. : Amer. Math. Monthly 81 (1974), 627-629. cvi
A partition identity of the Euler type.
Hickerson D. : J. Reine Angew. Math. 290 (1977), 113-116. lxxiv
Continued fraction and density results for Dedekin sums.
Hickerson D. : Invent. Math. 94 (1988), 639-660. liii
A proof of the mock theta conjectures.
Hickerson D. : Invent. Math. 94 (1988), 661-677. lxxxvi / cxiv
On the seventh order mock theta functions.
Hickerson D. R. : Inventiones Math. 94 (1989), 639-660. #172
A proof of the mock theta conjectures.
Higgins T. J. : Amer. Math. Monthly 49 (1942), 462-490. #162
Note on Whittaker´s method for the roots of power series.
Hilbert D. : Göttinger Nachrichten (1893),216-219. Pi : A source book, 226-229.
Ueber die Transcendenz der Zahlen e und Pi.
Hildebrand A. : Acta Arithm. 44 (1984), 109-140. cxxiii
Über die punktweise konvergenz von Ramanujan-entwicklungen zahlentheoretischen funktionen.
Hildebrand A. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 167-185. O
On the number of prime factors of an integer.
Hildebrand A. & Tenenbaum G. : Duke Math. J. 56 (1988), 471-501. #163
On the Number of Prime Factors of an Integer.
Hill J. D. : Duke Math. J. 3 (1937), 702-714. cxl
On perfect methods of summability.
Hill J. D. : Duke Math. J. 9 (1942), 373-381. #156
Some properties of summability.
Hill J. D. : Bull. Amer. Math. Soc. 50 (1944), 227-230. cxl
Some properties of summability.
Hill M. J. M. : Proc. London Math. Soc. (1) 35 (1902-1903), 388-416. #150
???.
Hill M. J. M. : Proc. London Math. Soc. (2) 5 (1907), 335-341. lxv
On a formula for the sum of a finite number of terms of the hypergeometric series...
Hill M. J. M. : Proc. London Math. Soc. (2) 6 (1908), 339-348. lxv
On a formula for the sum of a finite number of terms of the hypergeometric series... (Second Comm).
Hill M. J. M. : Proc. Inter. Congress Math. Cambridge, tome 1 (1912), 275-383. cxxix
On the continuation of the hypergeometric series.
Hill M. J. M. : Mess. of Math. 4 (1914-1915), No.524, read Dec. 1914. #150-155
On Euler identities.
Hill M. J. M. & Whipple F. J. W. : Quart. J. Math. Pure & Appl. 41 (1910), 128-135. lxv
A reciprocal relation between generalized hypergeometric series.
Hill M. J. M. : Proc. London Math. Soc. (2) 17 (1918), 320-333. cxli
On the continuation of the hypergeometric series.
Hillam K.L. & Thron W.J. : Proc. Amer. Math. Soc. 16 (1965), 1256-1262. xlvi
A general convergence criterion for continued fractions K(An/Bn).
Hillion P. : C. R. Acad. Sci. Paris Ser. A 278 (1974), 155-158. cxl
Remarque sur l´approximation de la somme d´une série.
Hillion P. : C. R. Acad. Sci. Paris Ser. A 278 (1974), 893-896. cxl
Accélération de la convergence de certaines suite dont la série entière associée posséde una singularité en z=1.
Hillion P. : J. of the Inst. of Math. & Appl. 19 (1977), 281-293. cxxxv
Remarks on rational approximations of multiple power series.
Hillman A. P. & Alexanderson G. L. : The Fibonacci Quarterly 2 (1964), No.2, April, 145-148. O
A motivation for continued fractions.
Hillman A. P. & Stroot M. T. & Grassl R. M. : The Fibonacci Quarterly 1 (1963), No.3, October, 43-45. O
Fibonacci numbers and zigzag Hasse diagrams.
Hirschhorn M. D. : Duke Math. J. 39 (1972), 789-791. iii
Partitions and Ramanujan´s continued fractions.
Hirschhorn M. D. : Duke Math. J. 40 (1973), 77-80. iii
A continued fraction of Carlitz.
Hirschhorn M. D. : Duke Math. J. 41 (1974), 27-33. i
A continued fraction.
Hirschhorn M. D. : Discrete Math. 16 (1976), 161-162. lxxii4
Simple proof of identities of MacMahon and Jacobi.
Hirschhorn M. D. : Acta Arithmetica 32 (1977), 73-78. #165
Polynomial identities with implies identities of Euler and Jacobi.
Hirschhorn M. D. : J. Comb. Theory Ser. A 27 (1979), 33-37. lxiii
Some partitions theorems of the Rogers-Ramanujan type.
Hirschhorn M. D. : J. Australian Math. Soc. Ser. A : 29 (1980), 80-86. i
A continued fraction of Ramanujan.
Hirschhorn M. D. : J. Australian Math. Soc. Ser. A : 30 (1980), 1-4. vii
Two futher Ramanujan pairs.
Hirschhorn M. D. : Acta Aritmetica 38 (1980), 105-109. #165
On the residue mod 2 and mod 4 of p(n).
Hirschhorn M. D. : J. Reine Angew. Math. 326 (1981), 1-17. #151
A simple proof of the Ramanujan conjecture for powers of 5.
Hirschhorn M. D. : Amer. Math. Monthly 92 (1985), No.8, 579-580. Ó
A simple proof of Jacobi´s two-square theorem.
Hirschhorn M. D. : J. Indian Math. Soc. 51 (1987), 49-55, (1988). xxxiii
A generalization of Winquist´s identity and a conjecture of Ramanujan.
Hirschhorn M. D. : Proc. Amer. Math. Soc. 101 (1987), 436-438. cxxxvii
A simple proof of Jacobi´s four-square theorem.
Hirschhorn M. D. : J. Australian Math. Soc. Ser. A : 44 (1988), 42-45. vii
A generalization of the quintuple product identity.
Hirschhorn M. D. : Amer. Math. Monthly 97 No.5 (1990), 398-400. O
A Birthday Present for Ramanujan.
Hirschhorn M. D. : J. Comb. Theory Ser. A 62 (1993), 128-138. #170
On the parity of p(n), II.
Hirschhorn M. D. : Math. Magazine 68 (1995), No.3, 199-201. xcvii
An amazing identity of Ramanujan.
Hirschhorn M. : J. Combin. Theory Ser. A 73 (1996), No.2, 346-347. cvi
A reformulation of Ramanujan´s partition congruences.
Hirschhorn M. : Toils and Triumphs of Srinivasa Ramanujan, W. H. Abdi (Ed.), 1996, 236-246. O
Ramanujan´s Contribution to Continued Fractions.
Hirschhorn M. D. : Math. Magazine 69 (1996), No.4, 267-269. cxlvii
A proof in the spirit of Zeilberger of an amazing identity of Ramanujan.
Hirschhorn M. D. : The Ramanujan Journal 2 (1998), No.4, 521-527. O
On the Expansion of Ramanujan´s Continued Fraction.
Hirschhorn M. D. : Amer. Math. Monthly 105 (1998), No.1, 52-55. #154
Two or three identities of Ramanujan.
Hirschhorn M. D. : Séminaire Lotharingien de Combinatoire 42 (1998), B42f. 8pp. F.ps
Thrre Classical Results on Representations of a Number.
Hirschhorn M. D. : The Ramanujan Journal 3 (1999), No.2, June, 153-158. O
Jacobi´s Two-Square Theorem and Related Identities.
Hirschhorn M. D. : Amer. Math. Monthly 106 (1999), No.6, 580-584. #154
Another short proof of Ramanujan´s mod 5 partition congruence, and more.
Hirschhorn M. D. : The Ramanujan Journal 4 (2000), No.1, March, 51-57. O
Arithmetic Consequences of Jacobi´s Two-Squares Theorem.
Hirschhorn M. D. : The Ramanujan Journal 4 (2000), No.2, June, 129-135. O
Parity Results for Certain Partition Functions.
Hirschhorn M. D. : The Ramanujan Journal 5 (2001), No.4, December, 369-375. O
On the Expansion of a Continued Fraction of Gordon.
Hirschhorn M. & Garvan M. & Borwein J. : Canad. J. Math. 45 (1993), 673-694. lxxviii
Cibic analogues of the Jacobian theta function theta(z,q).
Hirschhorn M. D. & Hunt D. C. : J. Reine Angew. Math. 326 (1981), 1-17. #161
A simple proof of the Ramanujan conjecture for powers of 5.
Hirschhorn M. D. & Hunt D. C. : J. Auatralian Math. Soc. Ser. A 34 (1983), 31-35. #151
A simple proof of and identity of Ramanujan.
Hirschhorn M. D. & Sellers J. A. : The Ramanujan Journal 3 (1999), No.3, September, 281-296. O
Some parity results for 16-cores.
Hirschhorn M. D. & Subbarao M. V. : Acta Arithm. 50 (1988), 355-356. #175
On the parity of p(n).
Hirschman I. I. & Widder D. V. : 1955 / 1964 Princeton University Press. O
The Convolution Transform.
Hloponin S. S. : Soviet. Math. Dol. 20 (1976), 66-73. lxxiv / ?
A correspondence between a ratio of power series and continued fractions.
Hloponin S. S. : Mathematical Notes 20 (1976), 933-938. lxix / ?
Convergence test, for continued fractions, that are based on a fundamental system of inequalities.
Hodgkinson J. : Proc. London Math. Soc. (2) 17 (1918), 17-24. cxxx
An application of conformal representation to certain hypergeometric series.
Hodgkinson J. : J. London Math. Soc. 6 (1931), 42-43. xlv
Note on one of Ramanujan´s theorems.
Hoffman M. : Pacific J. Math. 152 (1992), 275-290. #156
Multiple harmonic series.
Hoffman M. E. : Amer. Math. Monthly 102 No.1 (1995), 23-30. O
Derivative Polynomials For Tangent and Secant.
Hoffman M. E. : J. Of Algebra 194 (1997), 477-495. #169
The algebra of multiple harmonic series.
Hoffstein J. : CRM Proc. & Lect. Notes Vol. 1, Murty (Ed.): Theta functions, AMS (1993), 65-104. O
Eisenstein series and theta functions on the metaplectic group.
Hoggatt V. E. Jr. : The Fibonacci Quarterly 2 (1964), No.3, October, 176 & 196. O
Fibonacci numbers from a differential equation.
Hoggatt V. E. Jr. & Basin S. L. : The Fibonacci Quaterly 1 (1963), No.3, October, 1-14, 31. O
Representations by Complete Sequences -Part I ( Fibonacci ).
Hoggatt V. E. Jr. & Bicknell M. : The Fibonacci Quarterly 2 (1964), No.1, February, 29-32. O
Some new Fibonacci identities.
Hoggatt V. E. Jr. & Bicknell M. : The Fibonacci Quaterly 2 (1964), No.4, December, 261-266. O
Fourth power Fibonacci identities from Pascal´s triangle.
Hoggatt V. E. Jr. & Ruggles I. D. : The Fibonacci Quarterly 1 (1963), No.3, October, 61-65. O
A primer for the Fibonacci sequence -- Part III.
Hoggatt V. E. Jr. & Ruggles I. D. : The Fibonacci Qauterly 1 (1963), No.4, December, 65-71. O
A primer on the Fibonacci numbers -- Part IV.
Hoggatt V. E. Jr. & Ruggles I. D. : The Fibonacci Quarterly 2 (1964), No.1, February, 59-65. O
A primer for the Fibonacci numbers -- Part V.
Holland A. S. B. : Elsevier - North-Holland 1980. O
Complex Function Theory.
Holm A. : Proc. Edinburgh Math. Soc. 21 (1903), 163-180. xlviii2
On the convergents to a recurring continued fraction with application to find integral solution...
Holman W. J. : SIAM J. Math. Anal. 11 (1980), 523-572. cxxiii
Summation theorems for hypergeometric series in U(n).
Holman W. J. & Biedenharn L. C. & Louck J. D. : SIAM J. Math. Anal. 7 (1976), 529-541. cxxiii
On hypergeometric series well-poissed in SU(n).
Homann F. A. : Math. Magazine 60 (1987), No.1, 15-20. xcvii
David Rittenhouse : Logarithms and leisure.
Hope P. : Fibonacci Quarterly 33 (1995), No.2, 164-168. O
Exponential growth of random Fibonacci sequences.
Horadam A. F. : The Fibonacci Quarterly 1 (1963), No.4, December, 41-42 & 46. O
Further appearance of the Fibonacci sequence.
Horadam A. F. : The Fibonacci Quarterly 26 (1988), No.2, 98-114. O
Elliptic Functions and Lambert Series in the Summation of Reciprocals in certain Recurrence-Generated Sequences.
Horadam A. F. : The Fibonacci Quarterly 37 (1999), No.4, November, 320-325. O
Representation grids for certain Morgan-Voyce numbers.
Hörmander L. : 3rd. ed. Rev. 2000 North-Holland. O
An Introduction to Complex Analysis in Several Variables.
Horn J. : Math. Annalen 34 (1889), 544-600. #156
Ueber die convergenz der hypergeometrischen reihen zweier und dreier veränderlichen.
Horn J. : Math. Annalen 115 (1937), 435-455. cxlii
Hypergeometrische funktionen zweier veranderlichen im schmittpunkt dreider singularitaten.
Horner W. W. : The Fibonacci Quarterly 2 (1964), No.3, October, 228. O
Fibonacci and Pascal.
Hortalá M. T. & Leach J. & Rodríguez M. : 2ª ed. Editorial Univesidad Complutense de Madrid. O
Matemática Discreta y Lógica Matemática.
Hospital Marques de l' : 1998 Univ. Nac. Auto. Mexico. O
Análisis de los infinitamente pequeños para el estudio de as lineas curvas.
Householder A. S. : Amer. Math. Monthly 49 (1942), 326-330. #162
The addition formulas in trigonometry.
Hovstad R. M. : Proc. Amer. Math. Soc. 48 (1975), 337-343. lxiii
Solution of a convergence problem in the theory of T-fractions.
Hovstad R. M. : Proc. Amer. Math. Soc. 102 No.3 (1988), 593-598. xv
A reconsideration of the general parabola theorem in continued fractions.
Hovstad R. M. : Proc. Amer. Math. Soc. 105 No.1 (1989), 76-79. xv
A short proof of a continued fraction test for the stability of polynomials.
Hovstad R. M. : Rocky Mountain J. Math. 19 (1989), No.4, 1035-1041. xxi
Continued fraction tails and irrationality.
Hovstad R. M. : Proc. Analytic Theory Continued Fractions III 1988, Lect. Notes Math. 1406 (1989), 18-24. O
Irrational continued fractions.
Hovstad R. M. : J. Computational & Appl. Math. 33 (1990), No.2, 157-162. xxii / xxvi
Continued fractions and irrational functions.
Hovstad R. M. : Proc. Amer. Math. Soc. 110 (1990), No.1, 65-70. xx / cviii
The classical irrationality problem for T-fractions.
Hovstad R. M. : Rocky Mountain J. Math. 21 (1991), No.3, 1029-1033. xxiii / xxiv
A simple continued fraction test for the irrationality of functions.
Howard F. T. (ed.) : Kluwer Academic Publ. 1999. O
Applications of Fibonacci Numbers. Volume 8.
Howard F. T. & Hayashi E. K. : Fibonacci Quarterly 27 (1989), No.1, 61-69. O
Congruences for numbers of Ramanujan.
Howe R. : Proc. Indian Acad. Sci. (Math. Sci.): Rmanujan B.C.V. 97 (1987), 85-109. O
(GLn , GLm)-duality and symmetric plethysm.
Hoyrup J. : Centaurus 33 (1990), No.4, 293-324. xxii
On parts of parts and ascending continued fractions. An investigation of the origins and spread of a peculiar system.
Hsü H. Y. : Duke Math. J. 4 (1938), 374-383. cxxxviii
Certain integrals and infinite series involving ultraspherical polyonials and Bessel functions.
Hua L. K. : American Mathematical Society 1965. O
Additive Theory of Prime Numbers.
Huang S. S. : Thesis University of Illinois at Urbana-Champaign, 1997, viii + 94. T-2-3
On the Rogers-Ramanujan and Ramanujan-Göllnitz-Gordon Continued Fractions.
Huang S. S. : Acta Arithm. 80 (1997), 49-60. lxxiii
Ramanujan´s evaluations of Rogers-Ramanujan type continued fractions at primitive roots of unity.
Huang S. S. : J. Number Theory 68 (1998), No.2, 178-216. #150
On modular relations for the Göllnitz-Gordon functions with applications to partitions.
Huckle T. : Arch. Math. (Basel) 47 (1986), No.4, 339-346. xcix / cxvii
Über die koeffizienten der Stieltjes-Matrix eines Jacobi-Kettenbruchs.
Huckle T. : Achiv der Math. 52 (1989), No.1, 66-70. cxxix
On certain products of hypergeometric series.
Hudson R. H. : Bull. Austral. Math. Soc. 16 (1977), 67-73. cviii / cxxi
A formula ofr the exact number of primes below a given bound in any arithmetic progression.
Hudson R. H. & Brauer A. : J. Reine Angew. Math. 291 (1977), 23-29. cxix
On the exact number of primes in the arithmetic progressions 4n+-1 and 6n+-1.
Hughes K. : Canad. J. Math. 43 (1991), No.3, 506-525. ciii
Ramanujan congruences for p(n) modulo powers of 17.
Hukamchand : Math. Student 13 (1945), 98-101. xxxvi
Proofs of some well known theorems in continued fractions.
Humbert G. : Bull. Soc. Math. France 8 (1879), 124-128. lxix
Sur le développement d´une fonction suivant les puissances croissantes d ún polynôme.
Humbert G. : Bull. Soc. Math. France 8 (1879-1880),182-187. lxix
Sur la réduction en fraction continue d´une classe de fonctions.
Humbert G. : Bull. Soc. Math. France 8 (1880), 191-196. lxix
Sur une généralisation de la théorie des fractions continues algébriques.
Humbert G. : Bull. Soc. Math. France 9 (1881), 24-30.lxix
Sur une généralisation de la théorie des fractions continues algébriques. (cont.).
Humbert G. : Bull. Soc. Math. France 9 (1881), 56-58. lxix
Sur la fonction (x - 1) ^a.
Humbert G. : C. R. Acad. Sci. Math. 161 (1915), 717-721. lxvii
Sur l´approximation des irrationnelles réelles.
Humbert G. : J. Math. Pures et Appl. (7) 2 (1916), 79-103. lxvii
Sur la méthode d´approximation d´Hermite.
Humbert G. : J. Math. Pures et Appl. (7) 2 (1916), 104-154. xxxvii
Sur les fractions continues ordinaires et les formes quadratiques binaires indéfinies.
Humbert G. : J. Math. Pures et Appl. (7) 2 (1916), 155-167. lxvii
Remarques sur certaines suites d´approximation.
Humbert G. : C. R. Acad. Sci Paris 162 (1916), 23-26. lxvii
Sur les fractions continues et les formes quadratiques binaires indéfinies.
Humbert G. : C. R. Acad. Sci. Paris 162 (1916), 67-73. lxvii
Sur les réduites d´Hermite.
Humbert G. : C. R. Acad. Sci. Paris 165 (1917), 211-217. lxvii
Sur la fraction continue de Stephen Smith.
Humbert G. : C. R. Acad. Sci. Paris 165 (1917), 689-694. lxvii
Sur le développement, en fraction continue de Stephen Smith, des irrationnelles quadratiques.
Humbert G. : C. R. Acad. Sci. Paris 165 (1917), 737-742. lxvii
Sur le développement, en fraction continue de Stephen Smith, des irrationnelles quadratiques (cont.).
Hunter J. A. H. : The Fibonacci Quarterly 1 (1963), No.3, October, 66. O
Triangle inscribed in rectangle.
Hunter J. A. H. : The Fibonacci Quarterly 2 (1964), No.3, October, 230. O
Two very special numbers.
Huntley H. E. : The Fibonacci Quarterly 2 (1964), No.2, April, 104. O
Fibonacci geometry.
Huntley H. E. : The Fibonacci Qaurterly 2 (1964), No.3, October, 184 & 240. O
The golden cuboid.
Husquin de Rhéville : Nouv. Ann. Math. (3) 16 (1897), 61-62. lxviii
Sur une représentation géométrique du développement en fraction continue.
Huxley M. N. : Proc. Indian Acad. Sci. (Math. Sci.): Ramanujan B.C.V. 97 (1987), 111-116. O
The area within a curve.
Hwang H. K. : Journal of Combinatorial Theory Ser. A 96 (2001), No.1, October, 89-126. m-01
Limit Theorems for the Number of Summands in Integer Partitions.
Hylleras E. : Mathematica Scandinavica 10 (1962), 189-200. cxxxviii
Linearization of products of Jacobi polynomials.
Igusa J. : Amer. J. Math. 86 (1964), 219-246. #173
On the graded ring of theta-constants.
Igusa J. : Amer. J. Math. 89 (1967), 817-855. #173
Modular forms and projective invariants.
Igusa J. : Amer. J. Math. 102 (1980), 409-446. #173
On Jacobi derivative formula and its generalizations.
Igusa J.-I. : Proc. Symp. Pure Math. 49 part 2, Theta Functions Bowdoin 1987, A.M.S. (1989), 101-110. O
Problems on theta functions.
Ince E. L. : Proc. Edinburgh Math. Soc 32 (1913-1914), ???-???. xlviii2
On certain theorems in continued fractions and other transformations of the P. functions.
Ince E. L. : Proc. Edinburgh Math. Soc 34 (1914-1915), 146-154. xlviii2
On the continued fraction associated with the hypergeometric equation.
Ince E. L. : Proc. London Math. Soc. (2) 18 (1919), 236-248. xxxii
On the continued fractions connected with the hypergeometric equation.
Indlekofer K.-H. & Timofeev N. M. : The Ramanujan Journal 2 (1998), No.1/2, 153-165. O
A Mean-Value Theorem for Multiplicative Functions on the Set of Shifted Primes.
Indritz J. : The Macmillan Co. 1959 / 1963. O
Methods in Analysis.
Ingham A. E. : J. London Math. Soc. 2 (1927), 202-208. xlv
Some asymptotic formulae in the theory of numbers.
Ingham A. E. : J. London Math. Soc. 5 (1930), 107-112. xlv
Note on the Riemann´s zeta-function and Dirichlet´s L-function.
Ingham A. E. : Annals of Math. 42 (1941), ???-1083-???. #176
A Tauberian theorem for partitions.
Iosifescu M. : Studii Si Cercetari Mat. 41 (1989), No.6, 491-499. xxiii
On mixing coefficients for the continued fraction expansion.
Iosifescu M. : Rev. Roumaine Math. et Appl. 37 (1992), No.10, 901-914. xcv
A very simple proof of a generalization of the Gauss-Kuzmin-Levy theorem on continued fractions and related quest.
Iosifescu M. : Rev. Roumaine Math. Pures & Appl. 37 (1992), No.10, 901-914. xxiii / xcv
Avery simple proof of a generelization of the Gauss-Kuzmin-Levy theorem on continued fractions.
Irwin M. C. : Amer. Math. Monthly 96 No.8 (1989), 696-703. O
Geometry of Continued Fractions.
Isaacs R. : 1965 John Wiley and Sons. O
Differential Games, A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimitation.
Iseki S. : Duke Math. J. 24 (1957), 653-662. xciii
The transformation formula for the Dedekind modular function and related functional equations.
Iseki S. : Proc. Amer. Math. Soc. 12 (1961), 502-505. #158
A proof of a fundamental equation related to the theory of partitions.
Ishibashi M. : The Ramanujan Journal 4 (2000), No.2, June, 221-229. O
Multiple Cotangent and Generalized Eta Function.
Ishibashi M. & Kanemitsu S. : Lect. Not. Math. No.1434 (1990), 149-167. O
Some asymptotics formulas of Ramanujan.
Ismail M. E. H. : Proc. Amer. Math. Soc. 63 (1977), 185-186. lxxiv
A simple proof of Ramanujan´s 1phi1 sum.
Ismail M. E. H. : Proc. on q-series & partitions, March 7-11 1988, IMA Vol. 18, Springer (1989), 177-190. O
Monotonicity of zeros of orthogonal polynomials.
Ismail M. E. H. & Keller D. H. : SIAM J. Math. Analysis 10 (1979), 884-901. cxxxv
Special functions, Stieltjes transforms and infinite divisibility.
Ismail M. E. H. & Letessier J. & Valent G. & Wimp J. : Canad. J. Math. 42 (1990), No.4, 659-695. xcvi
Two families of associated Wilson polynomials.
Ismail M. E. H. & Libis C. A. : J. Math. Anal. & Appl. 141 (1989), No.2, 349-372. lxxxvii / cxvi
Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. I.
Ismail M. E. H. & Masson D. R. : J. Approx. Theory 83 (1995), No.1, (Oct.), 1-40. ci / cxix
Generalized orthogonality and continued fractions.
Ismail M.E.H. & Masson D.R. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Math. 236 (1999), 149-166. O
Some continued fractions related to elliptic functions.
Ismail M. E. H. & Masson D. R. & Rahman M. (Eds.) : Fields Inst. Comm. 14 , A. M. S. (1997), x + 277 pp. O
Special functions, q-series and related topics.
Ismail M.E.H. & Masson D.R. & Suslov S. K. : Special Functions, q-Series..., Ismail (Eds.), A.M.S. 1997, 91-108. O
Some Generating Functions for q-Polynomials.
Ismail M.E.H. & Mulla F.S. : SIAM J. Math. Anal. 18 (1987), 243-258. xxxix2 / cx
On the generalized Chebyshev polynomials.
Ismail M.E.H. & Prodinger H. & Stanton D. : Séminaire Lotharingien de Combinatoire 44 (2000), B44a, 10pp. F.ps
Schur´s Determinants and Partition Theorems.
Ismail M. E. H. & Rahman M. : Trans. Amer. Math. Soc. 328 (1991), No.1, 201-237. lxxxvi / cxiv
The associated Askey-Wison polynomials.
Ismail M. E. H. & Rahman M. : Pacific J. Math. 170 (1995), 497-515. #161
Some bilateral sums and integrals.
Ismail M. E. H. & Rahman M. : Journal of Approximation Theory 114 (2002), No.2, February, 269-307. m-01
Inverse Operators, q-Fractional Integrals, and q-Bernoulli Polynomials.
Ismail M.E.H. & Takeuchi Y. & Zanhg R.: Proc. Amer. Math. Soc. 119 No.3 (1993), 747-760.xv
Pages from the computer files of R. William Gosper.
Ismail M. E. H. & Stanton D. : Canadian J. Math. 40 (1988), 1025-1045. cxxxviii
On the Askey-Wilson and Rogers polynomials.
Ismail M. E. H. & Stanton D. (Eds.) : Contemporary Mathematics No. 254, Amer. Math. Soc. 2000. O
q-Series from a Contemporary Perspective.
Ismail M. E. H. & Wilson J. A. : J. Approx. Theory 36 (1982), 43-54. cxxxvii
Asymptotic and generating relations for the q-Jacobi and 4phi3 polynomials.
Ismail M.E.H. & Zhang R. : Ramanujan Inter. S. Anal., Pune 1987, ed. N.K Thakare, Macmillan (1988), 151-183. O
The Hellmann-Feyman theorem and the variation of zeros of special functions.
Issacson E. & Keller H. B. : John Wiley & Sons 1966. O
Analysis of Numerical Methods.
Istad R.M. & Waadeland H. : Proc. Anal. T. Continued fractions II 1985, Lect. Notes Math. 1199 (1986), 37-47. O
A strategy for numerical computation of limit regions.
Ito S. & Yasutomi S. I. : Japan J. Math. 16 (1990), No. 2, 287-306. lxxxiv
On continued fractions, substitutions and characteristic sequences...
Ivic A. : 1985 J. Wiley and Sons. f
The Riemann Zeta-Function, The Theory of Riemann Zeta Functions with Applications.
Ivic A. : The Ramanujan Journal 2 (1998), No.1/2, 39-45. O
The Voronoi Identity via the Laplace Transform.
Ivic A. & Pomerance C. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta...(Eds.), 1999 AMS, 133-139. O
On the distribution of champs.
Ivory J. : Trans. Royal Soc. Edinburgh 4 (1796), 177-190. xcii
A new series for the rectification of the ellipsis, together with some obsevations on the evolution of the formula...
Iwaniec H. : Number Theory and Related Topics, Bombay (1988), T.I.F.R. - O.U.P. (1989), 47-55. O
The circle method and the Fourier coefficients of modular forms.
Iwasaki K. & Kimura H. & Shimomura S. & Yoshida M. : Aspects of Mathematics Vol.E16, 1991 Friedr. Vieweg & Sons. O
From Gauss to Painlevé, A Modern Theory of Special Functions.
Izotov A. : The Fibonacci Quaterly 37 (1999), No.3, August, 258-261. O
On the Form of Solutions of Martin Davis´ Diophantine Equation.
Jackson D. : Rend. Circ. Mat. Palermo 32 (1911), 257-262. cxxxviii
Ueber eine trigonometrische summe.
Jackson D. M. : J. Combinatorial Theory Ser. A 25 (1978), 181-187. liv
Some results on " products-weighted lead codes".
Jackson F. H. : Proc. Edinburgh Math. Soc. 95 (1897), 90-96. xcii
Certain expansions of x^n in hypergeometric series.
Jackson F. H. : Proc. Royal Soc. London 74 (1904), 64-72. xlviii2
A generalization of the function Gamma(n) and ^n.
Jackson F. H. : Trans. Royal Soc. Edinburgh 41 (1904), 1-28. xcii
Certain fundamental power series and their differential series.
Jackson F. H. : Trans Royal Soc. Edinburgh 41 (1904), 29-38. xcii
Certain fundamental power series and their differential series. II.
Jackson F. H. : Proc. Royal Soc. London A 76 (1905), 127-144. xlviii2
The basic gamma-function and the elliptic functions.
Jackson F. H. : Amer. J. Math. 27 (1905), 1-6. lxxiv
Some properties of a generalized hypergeometric functions.
Jackson F. H. : Mess. of Math. 34 (1905), 32-39. cxli
Pseudo-periodic functions analogous to the circular functions.
Jackson F. H. : Mess. of Math. 37 (1908), 123-128. cxli
On a formula relating to hypergeometric series.
Jackson F. H. : Mess. of Math. 38 (1909), 26-28. lxxii
The q-series corresponding to Taylor´s sereis.
Jackson F. H. : Mess. of Math. 38 (1909), 62-64. lxxii
A q-form of Taylor´s theorem.
Jackson F. H. : Mess. of Math. 39 (1910), 145-153. lxxii
Transformation of q-series.
Jackson F. H. : Rend. Circ. Mat. Palermo 29 (1910), 340-346. lii
A q-generalization of Abel´s series.
Jackson F. H. : Amer. J. Math. 32 (1910), 305-314. lxxiv / lxxvi
q-Difference equations.
Jackson F. H. : Quart. J. Pure & Appl. Math. 41 (1910), 193-203. lxxiii
On q-definite integrals.
Jackson F. H. : Mess. of Math. 40 (1911), 92-100. lxxii
The product of q-hypergeometric functions.
Jackson F. H. : Mess. Math. 50 (1921), 101-112. xxxi
Summation of q-hypergeometric series.
Jackson F. H. : Mess. Math. 50 (1921), 169-187. li / cxli / #150
Examples of a generalization of Euler´s transformation for power series.
Jackson F. H. : Mess. of Math. 50 (1921), 377-384. lxxii / cxliii
A new transformation of Heinean series.
Jackson F. H. : Mess. of Math. 57 (1928), 169-187. #150
Examples of a generalization of Euler´s transformation for power series.
Jackson F. H. : Quart. J. Math. (oxford) 11 (1940), 1-17. lxxiii
The q^theta equation whose solutions are products of solutions of q^theta equations of lower order.
Jackson F. H. : Quart. J. Math. Oxford 12 (1941), 167-172. lxiii / lviii / ?
Certain q-identities.
Jackson F. H. : Quart. J. Math. (Oxford) 12 (1941), 201-210. cxliii
Hypergeometric series and 'set' numbers.
Jackson F. H. : Quart. J. Math. (Oxford) 12 (1941), 211-215. cxlii
q^theta - equations and Fibonacci numbers.
Jackson F. H. : Quart. J. Math. (Oxford) 13 (1942), 69-82. lxxiii
On basic double hypergeometric functions.
Jackson F. H. : Quart. J. Math. (Oxford) 15 (1944), 49-61. lxxiii
Basic double hypergeometric functions (ii).
Jackson F. H. : Quart. J. Math. (Oxford) 17 (1946), 99-110. cxliii
Basic functions and polynomials sequences.
Jackson F. H. : Quart. J. Math. (Oxford) (2) 2 (1951), 1-16. lxxiii
Basic integration.
Jackson M. : J. London Math. Soc. 24 (1949), 233-237. lxix
On some formulae in partition theory, and bilateral basic hypergeometric series.
Jackson M. : J. London Math. Soc. 24 (1949), 238-240. cxlii
A generalization of the theorems of Watson and Whipple on the sum of the series 3F2.
Jackson M. : J. London Math. Soc. 25 (1950), 189-196. lxx
On Lerch´s transcendant and the basic bilateral hypergeometric series 2phi2.
Jackson M. : Quart. J. Math. (Oxford) (2) 1 (1950), 63-68. lxxiii
On well-poised bilateral hypergeometric series of the type 8phi8.
Jackson M. : J. London Math. Soc. 27 (1952), 116-123. cxlii
Transformations of series of the type 3H3 with unit argument.
Jackson M. : J. London Math. Soc. 27 (1952), 124-126. cxlii
A note on the sum of a particular well-poised 6H6 with argument -1.
Jackson M. : Pacific J. Math. 4 (1954), 557-562.lxix
Transformations of series of the type 3phi3.
Jackson M. : J. London Math. Soc. 33 (1958), 475-476. cxlii
A note on the reducibility of the bilateral hypergeometric series 3H3.
Jacobsen L. : Proc. Anal. Theory Continued Fractions, Norway 1981, Lect. Notes Math. 932 (1982), 74-86. O
A method for convergence acceleration of continued fractions K(An/1).
Jacobsen L. : Proc. Anal. Theory Continued Fractions, Norway 1981, Lect. Notes Math. 932 (1982), 87-98. O
Some periodicsequences of circular convergence regions.
Jacobsen L. : Trans. Amer. Math. Soc. 275 (1983), 265-285. lxix
Convergence acceleration for continued fractions K (An / 1).
Jacobsen L. : Det. Kgl. Norske Vid. Selsk. Skr. No.1 (1983), 19-33. lxxxix
Convergence acceleration and analytic continuation by means of modification of continued fractions.
Jacobsen L. : Trans. Amer. Math. Soc. 281 (1984), 129-146. lxix
Further results on convergence acceleration for continued fraction K (An / 1).
Jacobsen L. : Numer. Math. 47 (1985), 577-595. xxix / cx / cxxiv
Repeated modifications of limit k-periodic continued fractions.
Jacobsen L. : Proc. London Math. Soc. (3) 51 (1985), 563-576. xlvi
Convergence of limit k-periodic continued fractions K(An/Bn) and subsequences of their tails.
Jacobsen L. : Rocky Mount. J. Math. 15 (1985), 689-707. lxxii
Functions defined by continued fractions meromorphic continuation.
Jacobsen L. : Proc. Amer. Math. Soc. 97 (1986), 97-104. iii
Composition of linear fractional transformations in terms of tails sequences.
Jacobsen L. : Trans. Amer. Math. Soc. 281 (1986), 129-146. lxiv / cxiii
General convergence for continued fractions.
Jacobsen L. : Trans. Amer. Math. Soc. 294 (1986), 477-485. i
General convergence of continued fractions.
Jacobsen L. : Proc. Analytic T. Continued Fractions II 1985, Lect. Notes Math. 1199 (1986), 48-58. O
On the convergence oflimit periodic continued fractions K(An/1), where An -- -1/4. Part II.
Jacobsen L. : Proc. Analytic T. Continued fractions II 1985, Lect. Notes Math. 1199 (1986), 59-66. O
A theorem on simple convergence regions for continued fractions K(an/1).
Jacobsen L. : J. Computational & Appl. Math. 19 (1987), No.1, 171-177. xxvi
General correspondence for continued fractions.
Jacobsen L. : Math. Scand. 60 (1987), No.2, 129-147. xiii
Nearness of continued fractions.
Jacobsen L. : Proc. Amer. Math. Soc. 99 No.1 (1987), 141-146. xvi
Limiting structures for sequences of linear fractional transformations.
Jacobsen L. : Analysis 8 (1988), No.1-2, 95-119. xxv
Uniform convergence of limit periodic generalized continued fractions.
Jacobsen L. : J. Computational & Appl. Math. 21 (1988), No.1, 101-110. xxvi
Remarks to a definition of convergence acceleration illustred by means of continued fractions.
Jacobsen L. : Appl. Numer. Math. 4 (1988), No.2-4. O
Meromorphic continuation of functions given by limit k-periodic continued fractions.
Jacobsen L. : Construc. Theory of Functions (Varna, 1987), Bulgar. Acad. Sci. Sofia, 1988, 242-250. cx
Approximants for functions represented by limit periodic continued fractions.
Jacobsen L. : J. Math. Analysis and Appl. 143 (1989), 412-437. i
Domains of validity for some of Ramanujan´s continued fractions formulas.
Jacobsen L. (Ed.) : Lectures Notes Mathematics 1406 (1989), Springer, 142 pp. O
Analytic Theory of Continued Fractions III, Proceedings, Redstone USA June 26 - July 5, 1988.
Jacobsen L. : J. Math. Analysis and Appl. 152 (1990), 496-514. i
On the Bauer-Muir transformation for continued fractions and its applications.
Jacobsen L. : Lect. Not. Math. No.1435 (1990), 89-101. O
Orthogonal polynomials, chain sequences three-term recurrence relations and continued fractions.
Jacobsen L. & Jones W.B. & Waadeland H. : Proc. A. T. C. Frac. II 1985, Lect. Notes Math. 1199 (1986), 67-89. O
Further results on the computation of incomplete gamma functions.
Jacobsen L. & Jones W.B. & Waadeland H. : Lect. Notes Math. (Rational Approx.), 1237 (1987), 177-187. cxxxi
Convergence acceleration for continued fractions K(An/1), where An--inf.
Jacobsen L & Masson D. : Constr. Approx. 6 (1990), 363-374. xli / cxii
On the convergence of limit periodic continued fraction K(An/1), where An-- -1/4. Part. 3.
Jacobsen L. & Masson D. R. : Rocky Mount. J. Math. 21 (1991), No.1, 377-385. lxviii
A sequence of best parabola theorems for continued fractions.
Jacobsen L. & Ruscheweyh S. : Arch. Math. (Basel) 48 (1987), No.2, 130-135. xcix / cxvii
On the domain of meromorphy of limit k-peirodic continued fractions.
Jacobsen L. & Thron W.J. : Proc. Anal. T. Continued Fraction II 1985, Lect. Notes Math. 1199 (1986), 90-126. O
Oval convergence regions and circular limit regions for continued fractions K(An/1).
Jacobsen L. & Thron W. J. : Proc. Amer. Math. Soc. 99 (1987), No.1, 141-146. xvi
Limiting structures for sequences of linear fractional transformations.
Jacobsen L. & Thron W.J. &Waadeland H. : Proc. A. T. C. Fract. III 1988, Lect. Notes Math. 1406 (1989), 25-47. O
Julius Worpitzky, his contributions to the analytic theory of continued fractions and his times.
Jacobsen L. & Thron W.J. & Waadeland H. : Numer. Math. 55 No.6 (1989), 711-733. xv
Some observations on the distribution of values of continued fractions.
Jacobsen L. & Waadeland H. : Proc. Anal. T. Cont. Fract., Norway 1981, Lect. Notes Math. 932 (1982), 99-105. O
Some useful formulas involving tails of continued fractions.
Jacobsen L. & Waadeland H. : J. Comp. Appl. Math. 15 (1986), 225-233. viii
Even and Odd Parts of Limit Periodic Continued Fractions.
Jacobsen L. & Waadeland H. : Numer. Math. 53 No.3 (1988), 285-298. viii
Convergence Acceleration of Limit Periodic Continued Fraction under Asymptotic side condit.
Jacobsen L. & Waadeland H. : J. Computational & Appl. Math. 28 (1989), 199-206. xxvi
When does f(z) have a regular C-fraction or a normal Padé table ?.
Jacobsen L. & Waadeland H. : Proc. Amer. Math. Soc. 106 (1989), No.3, 741-750. lxxxvii / cxvi
A results of nearness of functions and their regular C-fractions expansions.
Jacobsen L. & Waadeland H. : Rocky Mountain J. Math. 20 (1) (1990), 151-163. viii
An Asymptotic Property for Tails of Limits Periodic Continued Fractions.
Jacobsthal E. : Kong. Norsk. Viden S. 21 (1948), Nr. 4. O
Sur l' Invention d' une Série de Puissances. I.
Jacobsthal E. : Kong. Norsk. Viden S. 21 (1948), Nr. 34. O
Sur l' Inversion d' une Série de Puissances VI.
Jacquet H. : Proc. Indian Acad. Sci. (Math. Sci.): Ramanujan B.C.V. 97 (1987), 117-155. O
On the nonvanishing of some L-functions.
Jaeger J. C. : J. London Math. Soc. 13 (1938), 254. cxlii
A continuation formula for Appell´s function F3.
Jager H. : Math. Comp. 39 (1982), 555-558. lxvii
On the speed of convergence of the nearest integer continued fraction.
Jager H. : Proc. Nederl. Akad. Wetensch. Ser. A 89 (1986), 61-69. xlviii2
The distribution of certain sequences connected with the continued fraction.
Jager H. & Kraaikamp C. : Indag. Math. 51 (1989), No.3, 289-307. xxi
On the approximation by continued fractions.
Jager H. & Liardet P. : Indagationes Mathematicae 50 (1988), No.2, 181-197. xx / lxxxii
Distributions arithmetiques des denominateurs de convergents de fractions continues.
Jager H. & Vroedt C. de : Indag. Math. 31 (1968), 31-42. #162
Lüroth series and their ergodic properties.
Jagy W. & Kaplansky I. : Experimental Math. 4 (1996), No.3, 169-173. F.ps
Sums of Squares, Cubes, and Higher Powers.
James R. D. : Amer. J. Math. 60 (1938), 737-744. lxxxii
The distribution of integers represented by quadratic forms.
Jain SK : Sarup & Sons New Delhi 2001. O
Infinite Series and Products and Power Series.
Jain V. K. : Pacific J. Math. 91 (1980), 349-361. lxix
Some expansions involving basic hypergeometric functions of two variable.
Jain V. K. : Houston J. Math. 6 (1980), 511-522. lxix
Summation of basic hypergeometric series and Rogers-Ramanujan identities.
Jain V. K. : Proc. Amer. Math. Soc. 78 (1980), 375-384. lxxv / cxiv
Some transformations basic hypergeometric series and their applications.
Jain V. K. : SIAM J. Math. Anal. 12 (1981), 957-961. lxxiii
Some transformations of basic hypergeometric functions. Part II.
Jain V. K. : Pacific J. Math. 101 (1982), 333-349. lxix
Certain transformations of basic hypergeometric series and their applications.
Jain V. K. & Srivastava H. M. : Canadian J. Math. 38 (1986), 215-231. lxx
q-seires identities and reducibility of basic double hypergeometric functions.
Jain V. K. & Srivastava H. M. : J. Math. Anal. & Appl. 192 (1995), No.2, 413-438. cxxxii
Some families of multilinear q-generating functions and combinatorial q-series identities.
Jain V. K. & Verma A. : J. Math. Anal. Appl. 76 (1980), 230-269. lxxiii
Transformations between basic hypergeometric series on different bases and identities of Roger-Ramanujan.
Jain V. K. & Verma A. : SIAM J. Math. Anal. 12 (1981), 943-956. lxxiii
Some transformations of basic hypergeometric functions. Part I.
Jain V. K. & Verma A. : J. Math. Anal. Appl. 87 (1982), 9-44. lxxiii
Transformations of non-terminating basic hyperg. series, their contour integral and appl. to R-R Ident.
Jain V. K. & Verma A. : SIAM J. Math. Anal. 16 (1985), 647-655. lxxiii
Some summation formulae for nonterminating basic hypergeometric series.
Jain V. K. & Verma A. : Indian J. Pure Appl. Math. 18 (1987), No.1, 55-64. lxii2
On transformations of nearly-poised basic hypergeometric series and their applications.
Jamieson M. J. : Proc. Edinburgh Math. Soc. 30 (1987), 295-299. lxvii
Application of Wynn´s epsilon algorithm to peroiodic continued fractions.
Jamieson M. J. : Bull. Inst. Math. Appl. 24 (1988), No.3-4, 56-57. lxxxv
Acceleration techniques applied to some sequences of continued fractions.
Jamieson M. J. : Amer. Math. Monthly 97 No.9 (1990), 829-831. O
Fibonacci Numbers and Aitken Sequences Revisited.
Janet M. : Bull. Sci. Math. (2) 55 (1931), 11-23. lxvii
Sur les valeurs moyennes des carrés de deux dérivées dórdes consecutifs, et le dévelop. en f. c. de tang x.
Jänichen W. : J. Reine Angew. Math. 156 (1927), 55-66. lxix
Über die Näherungsnenner Stieltjesshen Kettenbrüche.
Jansson F. : 1966 V. Pettersons Bokindustri. O
Random Number Generators.
Jarden D. : The Fibonacci Quarterly 1 (1963), No.3, October, 15-20. O
On the greatest primitive divisors of Fibonacci and Lucas numbers with primitive-power subscripts.
Jarden D. : The Fibonacci Quarterly 1 (1963), No.4, December, 21-22. O
On the periodicity of the last digits of Fibonacci numbers.
Jarden D. : The Fibonacci Quarterly 2 (1964), No.1, February, 45-48. O
Strengthened inequalities for Fibonacci and Lucas numbers.
Jefferies B. : Ramanujan Inter. Symp. on Analalysis, Pune 1987, ed. N.K. Thakare, Macmillan (1989), 359-372. O
Summability in spaces of set functions.
Jeffreys H. : Third Ed. 1961 Oxford at The Calrendon Press. Oxford University Press. O
Theory of Probability.
Jefferson T. H. : SIAM J. Numer. Aanl. 6 (1969), 359-364. lxiv / cxiii
Truncation error estimates for T-fractions.
Jennings D. : Glasgow Math. J. 35 (1933), 381-384. cvi
An identity for the Fibonacci and Lucas numbers.
Jensen J. L. W. V. : Annals. of Math. 17 (1915-1916), 124-166. cxxxv
An elementary exposition of the theory of gamma function.
Jeske J. A. : The Fibonacci Quarterly 1 (1963), No.2, April, 69-74. O
Linear recurrence relations. Part I.
Jeske J. A. : The Fibonacci Quarterly 1 (1963), No.4, December, 35-39 & 34. O
Linear recurrence relations. Part II.
Jeske J. A. : The Fibonacci Quarterly 2 (1964), No.3, October, 197-203. O
Linear recurrence relations. Part III.
Jessop C. M. : 1903 Cambridge University Press. O
A Treatise on the Line Complex.
Jia X. -D & Nathanson M. B. : The Rademacher Legacy to Math., Contemp. Math. A.M.S. 166 (1994), 275-284. O
Addition theorems for sigma-finite groups.
Jiang S. Z. : J. Math. Research & Exposition 13 No.4 (1993), 509-514. xiv / xxiv
On convergence of generalized Dirichlet series with complex exponents.
Jogdeo K. & Samuels S. M. : Ann. Math. Stat. 39 (1968), 1191-1195. lx
Monotone convergence of binomial probabilities and a generalization of Ramanujan´s equation.
John F. : Acta Math. (Stockholm) 71 (1938), 175-189. cxxxviii / #154
Special solutions of certain difference equations.
Johnson K. R. : Indian J. Pure & Appl. Math. 18 (1987), No.8, 675-677. xvii
An explicit formula for sums of Ramanujan type sums.
Johnson K. R. : Mathematics Magazine 62 (1989), No.4, 253-259. xxi
An iterative method for approximating square roots.
Johnson K. R. : Indian J. Pure & Appl. Math. 21 (1990), No.3, 234-237. xvii
A criterion for generalized Ramanujan sums.
Jonhson K. R. : J. Indian Math. Soc. (N.S.) 62 (1996), No.1-4, 184-186. #153
The Dirichlet inverse of Ramanujan´s sum.
Johnson W. : Bull. Amer. Math. Soc. 12 (1906), 477-482. lxxvi
Note on the numerical transcendents Sn and sn=Sn - 1.
Johnson W. : Amer. Math. Monthly 91 (1984), No.6, 367-369. Ó
Power Series Whitout Taylor´s Theorem.
Johnson W. : Amer. Math. Monthly 94 (1987), No.1, 59-62. O
The Diophantine Equation X^2 + 7 = 2^n .
Johnson W. W. : Bull. Amer. Math. Soc. 12 (1905-1906), 477-482. #171
Note on the numerical transcendents Sn and sn= Sn -1.
Johnsonbauch R. : 4th Ed. Pearson Prentice-Hall 1997-1999. O
Matemáticas Discretas.
Joichi J. T. & Stanton D. : Pacific J. Math. 127 (1987), 103-120. lxix
Bijective proofs of basic hypergeometric series identities.
Jolley L. B. W. : 1925 / 1961 Dover Publications. O
Summation of Series.
Jones J.W. & Roberts D.P. : 5º Conf. Canad. Number Theory Assoc. 1996, Gupta...(Eds.), 1999 AMS, 141-172. O
Sextic number fields with discriminant (-1)^j 2^a 3^b.
Jones W. B. : Rocky Mount. J. Math. 4 (1974), 241-250. lxxi
Analysis of truncation error of approximation based on the Padé table and continued fractions.
Jones W. B. & Magnus A. & Thron W. J. : J. Math. Anal. & Appl. 170 (1992), No.1, 225-244. c / cxvii
PC-fractions and orthogonal Laurent polynomials for log-normal distributions.
Jones W. B. & Njastad O. & Thron W. J. : Proc. London Math. Soc. (3) 47 (1983), 363-384. lxix
Continued fractions and strong Hamburger moment problems.
Jones W. B. & Njastad O. & Thron W. J. : Constr. Approx. 2 (1986), No.3, 197-211. lxiv / cxiii
Continued fractions associated with trigonometric and other moment problems.
Jones W.B. & Njastad O. & Thron W.J. : Proc. A. T. C. Fract. II 1985, Lect. Notes Math. 1199 (1986), 127-158. O
Schur fractions, Perron-Carathéodory fractions and Szëgo polynomials, a Survey.
Jones W.B. & Njastad O. & Thron W.J. : Lect. Notes Math (Rational Approx.), 1237 (1987), 188-206. cxxxi
Perron-Carathéodory continued fractions.
Jones W. B. & Njastad O. & Thron W. J. : Bull. London Math. Soc. 21 (1989), 113-152. xli / cxi / cxxi
Moment theory, orthogonal polynomials, quadrature, and continued fractions associated with the unit circle.
Jones W.B. & Njastad O. & Waadeland H. : Proc. C. F. & O. F. IV 1992, Dekker LNPAM 154 (1994), 141-152. O
An alternative way of using Szegö polynomials in frequency analysis.
Jones W.B. & Njastad O. & Waadeland H. : Proc. C. F. & O. F. IV 1992, Dekker LNPAM 154 (1994), 153-190. O
Asymptotics of zeros of orthogonal and para-orthogonal Szegö polynomials in frequency analysis.
Jones W.B. & Reid W.M. : Proc. Anal. T. Cont. Fract., Norway 1981, Lect. Notes Math. 932 (1982), 106-128. O
Uniform twin-convergence regions for continued fractions K(An/1).
Jones W. B. & Shen G. : Proc. O. F., M. T. & C. F. V, Brazil 1996, Dekker LNPAM 199 (1998), 209-256. O
Regular strong Hamburger moment problem.
Jones W. B. & Shen G. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 167-178. O
Asymptotic of Stieltjes continued fraction coefficients and applications to Whittaker functions.
Jones W. B. & Snell R. I. : SIAM J. Numer. Anal. 6 (1969), 210-221. xxx
Truncation error bounds for continued fractions.
Jones W. B. & Snell R. I. : Trans. Amer. Math. Soc. 170 (1972), 483-497. xxx
Sequences of convergence regions for continued fractions K(An / 1).
Jones W. B. & Sri-Ranga A. (Eds.) : Lect. Notes. Pure & Appl. Math. Vol. 199, (1998), Dekker, xii + 416 pp. O
Orthogonal functions, moment theory and continued fractions, Research Conference June 19-28, 1996.
Jones W.B. & Steinhardt A. : Proc. Anal. T. Cont. Fract., Norway 1981, Lect. Notes Math. 932 (1982), 129-151. O
Digital filters and continued fractions.
Jones W. B. & Thron W. J. : Math. Ann. 166 (1966), 106-118. lix
Firther properties of T-fractions.
Jones W. B. & Thron W. J. : Canadian J. Math. 20 (1968), 1037-1055. vi2
Convergence of continued fractions.
Jones W. B. & Thron W. J. : Trans. Amer. Math. Soc. 150 (1970), 93-119. viii
Twin-Convergence Regions for Continued Fractions K(An / 1).
Jones W. B. & Thron W. J. : SIAM J. Numer. Anal. 8 (1971), 693-705. xxx
A posteriori bounds for the truncation error of continued fractions.
Jones W. B. & Thron W. J. : Math. Comp. 28 (1974), 795-810. xxx
Numerical stability in evaluating continued fractions.
Jones W. B. & Thron W. J. : SIAM J. Math. Anal. 6 (1975), 9-16. lvi2
On the convergence of Padé approximants.
Jones W. B. & Thron W. J. : Numer. Math. 26 (1976), 117-154. lxiv / cxiii
Truncation error analysis by means of approximants systems and inclusions regions.
Jones W. B. & Thron W. J. : Bull. Amer. Math. Soc. 83 (1977), 388-390. lx
Two-point Padé tables and T-fractions.
Jones W. B. & Thron W. J. : SIAM J. Math. Anal. 10 (1979), 1-17. xxviii
Sequences of meromorphic functions corresponding to a formal Laurent series.
Jones W.B. & Thron W.J. : Proc. Anal. Theory of Cont. Fract. Norway 1981, Lect. Notes Math. 932 (1982), 4-37. O
Surveys of continued fraction methods of solving moment problems and related topics.
Jones W. B. & Thron W. J. : J. Comp. & Appl. Math. 12-13 (1985), 401-417. xxii
On the computation of incomplete gamma functions in the complex domain.
Jones W. B. & Thron W. J. : Appl. Numer. Math. 4 (1988), No.2-4, 143-230. O
Continued fractions in numerical analysis.
Jones W. B. & Thron W. J. : Rocky Mount. J. Math. 19 (1989), No.1, 199-210. lxxxiv
A constructive proof of convergence of the even approximants of positive PC-fractions.
Jones W. B. & Thron W. J. : Rocky Mount. J. Math. 19 (1989), No.1, 211-222. xcvii
Contraction of the Schur algorithm for functions bounded in the unit disk.
Jones W. B. & Thron W. J. & Waadeland H. (Eds.): Lect. Notes Math. 932 (1982), Springer, 240 pp. O
Analytic theory of continued fractions, Proceedings, Loen, Norway 1981.
Jones W. B. & Thron W. J. & Waadeland H. : Trans. Amer. Math. Soc. 261 (1980), 503-528. lix
A strong Stieltjes moment problem.
Jones W. B. & Thron W. J. & Waadeland H. : SIAM J. Numer. Anal. 20 (1983), 1219-1230. xxxix2 / cxii
Truncation error bounds for continued fractions K(An / 1) with parabolic elements regions.
Jones W. B. & Thron W. J. & Wyshinski N. J. : J. Approx. Theory 71 (1992), No.1, 67-93. c / cxvii
Asymptotic behavior of polynomials satisfying three-term recurrence relations.
Jones W. B. & ThronW. J. & Wyshinski N. J. : Canad. Math. Bull. 35 (1992), No.3, 381-389. xcv / cx
An application of separate convergence for continued fractions to orthogonal polynomials.
Jones W.B. & Van Assche W. : Proc. O. F., M. T. & C. F. V, Brazil 1996, Dekker LNPAM 199 (1998), 257-274. O
Asymptotic behavior of the continued fraction coefficients of a class of Stieltjes transforms including the Binet funct.
Jones W.B. & Wyshinski N. J. : Proc. Anal. T. Cont. Fract. III 1988, Lect Notes Math. 1406 (1989), 48-66. O
Positive T-fraction expansions for a family of special functions.
Jonquieres E. de : C. R. Acad. Sci. Paris 96 (1883), 568-571. xlviii
Note sur un point de la théorie des fractions continues périodiques.
Jonquieres E. de : C. R. Acad. Sci. Paris 96 (1883), 694-696. xlviii
Sur la composition des périodes des fractions continues périodiques.
Jonquieres E. de : C. R. Acad. Sci. Paris 96 (1883), 832-833. xlviii
Additions aux communications précédents sur les fractions continues periodiques.
Jonquieres E. de : C. R. Acad. Sci. Paris 96 (1883), 1020-1023. xlviii
Loi des périodes.
Jonquieres E. de : C. R. Acad. Sci. Paris 96 (1883), 1129-1131. xlviii
Loi des périodes. (cont.)
Jonquieres E. de : C. R. Acad. Sci. Paris 96 (1883), 1210-1213. xlviii
Loi des périodes. (cont.)
Jonquieres E. de : C. R. Acad. Sci. Paris 96 (1883), 1297-1300. xlviii
Sur les fractions continues périodiques dont les numérateurs different de l´unité.
Jonquieres E. de : C. R. Acad. Sci. Paris 96 (1883), 1351-1354. xlviii
Etude des identités qui se présentent entre les réduites appartenant, respectivement, aux deux...
Jonquieres E. de : C. R. Acad. Sci. Paris 96 (1883), 1420-1423. xlviii
Lois de coincidences entre les réduites des fractions continues des deux modes.
Jonquieres E. de : C. R. Acad. Sci. Paris 96 (1883), 1571-1574. xlviii
Lois des identités entre les réduites des fractions périodiques de deux modes.
Jonquieres E. de : C. R. Acad. Sci. Paris 96 (1883), 1571-1574. xlviii
Lois des identités entre les réduites de deux modes.
Jonquieres E. de : C. R. Acad. Sci. Paris 96 (1883), 1721-1724. xlviii
Etudes sur les fractions continues périodiques.
Jonquieres E. de : C. R. Acad. Sci. Paris 127 (1898), 694-700. xlviii
Rapprochements entre les procédés de Lagrange et de Gauss pour la résolution en nombres...
Jordan J. H. : The Fibonacci Quarterly 2 (1964), No.1, February, 39-41. O
A Fibonacci test for convergence.
Jordan J. Q. & Leighton W. : Annals Math. (2) 39 (1938), 872-882. xviii
On the permutation of the convergents of a continued fraction and related convergece criteria.
Joshi C. M. & Verma A. : Houston J. Math. 5 (1979), 277-294. lxx
Some remarks on summation of basic hypergeometric series.
Joyal A. : Adv. in Math. 42 (1981), 1-82. cxxxix
Une Théorie combinatoire des séries formelles.
Joyce G. S. : Philos. Trans. Royal Soc. London 325 (1988), 643-706. xlviii2
On the hard-hexagon model and the theory of modular functions.
Joyce G. S. & Zucker I. J. : Math. Proc. Cambridge Philos. Soc. 109 (1991), 257-261. lxxviii
Special values of the hypergeometric series.
Joyce G. S. & Zucke I. J. : Math. Proc. Cambridge Philos. Soc. 110 (1991), No.3, 599. cxxxiv
Corrigendum " Special values of hypergeometric series ".
Junde W. & Shijie L. : Journal of Mathematical Analysis and Applications 257 (2001), No.1, May 1, 29-38. m-01
a Summation Theorem and Its Applications.
Jurgen R. : Commentari Math. Helvetici 3 (1931), 266-306. cxxvi
Sur les séries de Taylor n´ayant que des singularites algébrico-logarithmiques sur leur cercle de convergence.
Just B. : SIAM J. Comput. 21 (1992), No.5, 909-926. c / upv-f1
Generalizing the continued fraction algorithm to arbitrary dimensions.
Jutila M. > Proc. Indian Acad. Sci. (Math. Sci.): Ramanujan B.C.V. 97 (1987), 157-166. O
On exponential sums involving the Ramanujan functions.
Kac V. G. & Peterson D. H. : Bull. Amer. Math. Soc. New Ser. 3 (1980), 1057-1061. xciii
Affine Lie algebras and Hecke modular forms.
Kac V. G. & Peterson D. H. : Adv. in Math. 53 (1984), 125-264. cxi
Infinite dimensional Lie algebras, theta functions and modular forms.
Kacha A. : C. R. Acad. Sci. Paris Ser. I Math. 317 (1993), No.1, 17-20. xcv
Approximation algebrique de fractions continues.
Kadell K. W. J. : SIAM J. Math. Anal. 18 (1987), 1539-1548. lxxv / cxi
A probabilistic proof of Ramanujan 1phi1 sum.
Kadell K. W. J. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 167-181. O
A simple proof of an Aomoto type extension of the q-Morris theorem.
Kadell K. W. J. : Journal of Mathematical Analysis and Applications 261 (2001), No.2, September 15, 419-440. m-01
A Simple Proof of an Aomoto-Type Extension of Askey's Last Conjectured Selberg
Kadets V. M. & Kadets M. I. : TMM No.86, 1991 AMS. O
Rearrangements of Series in Banach Spaces.
Kadets V. M. & Kadets M. I. : 1997 Birkhäuser. O
Series in Banach Spaces.
Kalita N. C. : Indian J. Math. 36 (1994), No.3, 279-297. cv
Quadratic and cubic transformations of basic hypergeometric series.
Kalman D. : College Math. J. 24 (1993), No.5, 402-421. #155
Six ways to sum a series.
Kalnis E. G. & Miller W. Jr. : SIAM J. Math. Anal. 19 (1988), No.5, 1216-1231. cxxxv
q-seris and orthogonal polynomials associated with Barnes´first lemma.
Kalnins E. G. & Miller W. : Rocky Mount. J. Math. 19 (1989), No.1, 223-230. lxxiii
Symmetry techniques for q-series, Askey-Wilson polynomials.
Kalpazidou S. : Rev. Roumaine Math. Pures Appl. 31 (1986), No.10, 877-890. xcvi
On a class of Markov chains arising in the metrical theory of the continued fraction to the nearer integer expansion.
Kalpazidou S. : Proc. Amer. Math. Soc. 96 (1986), 629-635. #154
A Gaussian measure for certain continued fractions.
Kalpazidou Pacific J. Math. 123 (1986), 103-114. #153
On a problem of Gauss-Kuzmin type for continued fraction with odd partial quotients.
Kalpazidou S. & Knopfmacher A. & Knopfmacher J. : Acta Arith. 55 (1990), No.4, 311-322. xxiv / xxix / cx
Luroth-type alternating series representations for real numbers.
Kalton N.J. & Lange L.J. : Proc. Anal. T. Continued Fractions II 1985, Lect. Notes Math. 1199 (1986), 159-219. O
Equimodular limit periodic continued fractions.
Kaluza Th. Math. Zeit. 28 (1928), 161-170. cxxii / cxxxii
Über die koeffizienten reziproke potenzreihen.
Kalvade A. : J. Indian Math. Sco. (N.S.) 5 (1989), 155-164. #165
Equality of shifted partition function.
Kanada Y. : Supercomputing 88 : Volume II, Science and Applications, 117-128. Pi : A source book, 576-587.
Vectorization of multiple-precision arithmetic program and 201,326,000 decimal digits of Pi computation.
Kaneko J. : The Ramanujan Jorunal 2 (1998), No.3, 379-386. O
A 1Phi1 Summation Theorem for Macdonald Polynomials.
Kaneko M. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 173-176. O
Traces of singular moduli and the Fourier coefficients of the elliptic modular function j(tau).
Kanemitsu S. & Kumagai H. & Yoshimoto M. : The Ramanujan Journal 5 (2001), No.1, March, 5-19. O
Sums Involving the Hurwitz Zeta Function.
Kanemitsu S. & Kumagai H. & Yoshimoto M. : The Ramanujan Journal 5 (2001), No.1, March, 91-104. O
On Rapidly Convergent Series Expanssions for Zeta- and L. Values, and Log Sine Integrals.
Kanemitsu S. & Yoshimoto M. : The Ramanujan Journal 1 (1997), No.4, 363-378. O
Farey Series and the Riemann Hypotesis III.
Kang S. Y. : J. Combin. Theory Ser. A 78 (1997), No.2, 313-318. cxlviii
A new proof of Winquist´s identity.
Kang S. Y. : Thesis University of Illinois at Urbana-Champaign, 1999, ix + 115. T-3-4.
The Rogers-Ramanujan Continued Fraction and a certain quotients of Eta Functions found in Ramanujan´s Last Notebook.
Kang S. Y. : Acta Arithm. 90 (1999), 49-68. cxlvii
Ramanujan´s formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta function.
Kang S. Y. : The Ramanujan Journal 3 (1999), No.1, 91-111. O
Some theorems on the Rogers-Ramanujan cont. fract. and associated theta function identities in Ramanujan´s lost n.b.
Kani E. J. & Smith R. A. (Eds.) : Canadian Math. Soc. Ser. John Wiley & Sons, 1988. O
The Collected Papers of Hans Arnold Heilbronn.
Kanurakaran V. & Soundararajan T. : J. Indian Math. Soc. 54 (1989), No.1-4, 85-94. xxxiii
An integral of Ramanujan and the space of rapidly decreasing functions.
Kaplan P. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 177-185. O
Problème d´ Eisenstein pour le conducteur 3.
Kaplan P. & Williams K. S. : J. Number Theory 23 (1986), 169-182. xxix / cx
Pell´s equation x^2 - my^2 = -1 , -4 and continued fractions.
Kapoor G. P. & Guru-Prem-Prasad M. : J. of Analysis 3 (1995), 219-227. lxxxv
Growth of the numerator and denomiator of separately convergent regular C-fractions.
Kapoor G.P. & Nautiyal A. : Ramanujan Inter. Symp. Anal., Pune 1987, ed. Thakre, Macmillan (1989), 421-448. O
Approximation of harmonic functions regular in a finite hyperball in R^p+2.
Karatsuba A. A. : Mir Moscu 1975 / 1979. F
Fundamentos de la Teoría Analítica de los Números.
Karatsuba A.A.: Proc. Indian Acad. Sci. (Math. Sci.):Ramanujan B.C.V. 97 (1987), 167-178. O
Approximation of exponential sums by shorter ones.
Karatsuba E. A. : Journal of Computational and Applied Mathematics 135 (2001), Issue 2, 15 October, 225-240. m-01
On the asymptotic representation of the Euler gamma function by Ramanujan.
Karatsuba E. A. & Vuorinen M. : Journal of Mathematical Analysis and Applications 260 (2001), N0.2, August 15, 623-640. m-01
On Hypergeometric Functions and Generalizations of Legendre's Relation.
Karlin S. & McGregor J. L. : Trans. Amer. Math. Soc. 85 (1957), 489-546. lix
The differential equations of birth-anddeath processes, and the Stieltjes moment problem.
Karlsson J. & Wallin H. : Proc. C. F. & O. F. IV Norway 1992, Dekker LNPAM 154 (1994), 191-210. O
Continued fractions and iterated function systems.
Karlsson J. & Wallin H. & Gelfgren J. : Rocky Mountain J. Math. 21 (1991), No.1, 451-472. xxi
Iteration of Moebius transformations and continued fractions.
Karlsson P. W. : Simon Stevin 60 (1986), 329-337. lii
On two hypergeometric summation formulas conjectured by Gosper.
Karlsson P. W. : J. Math. Anal. & Appl. 196 (1995), No.1, 172-180. cxxvii
Claussen´s hypergeometric series with variable 1/4.
Karlsson P. W. & Srivastava H. M. : Proc. Amer. Math. Soc. 110 (1990), 85-88. cxxxvii
A note on Henrici´s triple product theorem.
Karr M. : J. of the Assoc. Comput. Machiner. 28 (1981), 305-350. cxiv
Summation in finite terms.
Karr M. : J. Symbolic Comput. 1 (1985), 303-315. cxxxv
Theory of summation infinite terms.
Karunakaran V. & Soundararajan T. : J. Indian Math. Soc. (N.S.) 54 (1989), No.1-4, 85-94. ciii
An integral of Ramanujan and the space of rapidly decreasing functions.
Katayama K. : Acta Arithm. 22 (1973), 149-155. lii
On Ramanujan´s formula for values of Riemann zeta-function at positive odd integers.
Katayama K. : J. Math. Soc. Japan 26 (1974), 234-240. xciii
Ramanujan´s formula for L-functions.
Katayama K. : J. Reine Angew. Math. 268/269 (1974), 251-270. lxxix
Zeta-functions, Lambert series and Arithmetic functions analogous to Ramanujan´s tau functino I.
Katayama K. : J. Reine Angew. Math. 282 (1976), 11-34. lxxix
Zeta-functions, Lambert series and Arithmetic functions analogous to Ramanujan´s tau function II.
Kato Y. : Nagoya Math. J. : 104 (1986), 129-148. lxix
Mixed periodic continued fractions.
Katona G. O. H. : J. Indian Inst. Sci. 1987 ( Special Issue ), 45-53. O
Ramanujan´s work in the theory of partitions.
Kaufman R. : Mathematika 27 (1980), 262-267. xl
Continued fractions and Fourier transforms.
Kausler C. F. : Mém. Acad. Sc. Imp. St. Pétersbourg 1 (1802), 156-174. lxxxviii
Expositio methodi series quascumque datas in fractiones continuas convertendi.
Kawanaka N. : Osaka J. Math. 36 (1999), No.1, 157-176. #149
A q-series identity involving Schur functions and related topics.
Keiper J. B. : Math. Comp. 65 (1996), No.216, 1613-1619. xvi / #151
On the zeors of the Ramanujan tau-Dirichlet series in the critical strip.
Keith M. : Math. Intell. 8 (1986), No.3, 56-57. Pi : A source book, 560-561.
Circle digits A self-referenctial story.
Kendall D. G. : Quart. J. Math. (Oxford) 13 (1942), 172-184. #161
A summation formula associated with finite trigonometric integrlas.
Kent J. T. : CWI Newsletter (1986), No.13, 21-33. xciv / civ
Ternary continued fractions and the evenly-temperated musical scale.
Kenter F. K. : Amer. Math. Monthly 106 (1999), No.5, 452-454. #154
A matrix representation for Euler´s constant, gamma.
Kesava Menon P. : J. Indian Math. Soc. 25 (1961), 109-119. xxxiii
On a formula of Ramanujan.
Kesava Menon P. : J. Indian Math. Soc. 25 (1961), 121-128. xxxiii
Summation of certain series.
Keshava-Menon P. The Mathematics Student 29 (1961), ???-???. #173
Some series involving Riemann zeta function.
Kesava-Menon P. : J. Indian Math. Soc. ( N. S. ) 29 (1965), 155-163. #158
On the sum SUM(a-1,n), [(a,n)=1].
Kevin W. J. : J. Combinatorial Theory Ser. A 86 (1999), No.2, 390-394. #164
An injection for the Ehrenpreis Rogers-Ramanujan problem.
Khan F. U. & Qureshi M. I. & Pathan M. A. : Mathematicae Notae 31 (1984-1986), 41-48. cxxxiv
On certain combinations of finite sums involving triple hypergeometric series F3.
Khan M. A. : Periodica Math. Hungarica 29 (1994), No.1, 39-49. cxx
Bibasic analytic functions and discrete ''bibasic'' hypergeometric series.
Khan M. A. & Khan A. H. : Acta Math. Vietnam. 11 (1986), No.2, 234-240. cv-2
Fractional q-integration and integral representations of " bibasic " double hypergeometric series of higher order.
Khan M. A. & Khan A. H. : Acta Math. Vietnam. 14 (1989), No.1, 95-98. cv
A note on mixed hypergeometric series.
Khintchine A. : Math. Zeit. 18 (1923), 289-306. lxviii / lxxiv
Ein Satz über Kettenbrüche, mit Arithmetischen Anwendungen.
Khintchine A. : Math. Ann. 92 (1924), 115-125. lix
Einige Sätze über Kettenbrüche mit anwendungen auf die theorie der Diophantische approximationen.
Khintchine A. Ya. : Compositio Math. 1 (1935), 361-382. lxii
Matrische Kettenbruchprobleme.
Khintchine A. : Compositio Math. 3 (1936), 276-285. lxiii
Zur metrische kettenbruchtheorie.
Khrushchev S. : Journal of Approximation Theory 108 (2001), No.2, February, 161-248. m-01
Schur's Algorithm, Oprthogonal Polynomials, and Convergence of Wall's Continued Fractions in L2().
Kida S. : Appl. Numer. Math. 4 (1988), No.2-4. O
Padé-type and Padé approximants in several variables.
Kida S. : Appl. Numer. Math. 4 (1988), No.2-4. O
Relation between Padé-type approximation and polynomial interpolation in several variables.
Kim B. M. & Kim M. H. & Raghavan S. : The Ramanujan Journal 1 (1997), No.4, 333-337. O
2-Universal Positive Definite Integral Quinary Diagonal Quadratic Forms.
Kim C. H. & Koo J. K. : The Ramanujan Journal 4 (2000), No.3, September, 317-338. O
Arithmetic of the Modular Function j1,8.
Kim D. & Stanton D. : Séminaire Lotharingien de Combinatoire 42 (1998), B42j, 12pp. F.ps
Simultaneous Maj Statistics.
Kim D. & Yee A. J. : The Ramanujan Journal 3 (1999), No.2, June, 227-231. O
A Note on Partitions into Distinct Parts and Odd Parts.
Kim D. & Zeng J. : The Ramanujan Journal 4 (2000), No.4, December, 421-427. O
On a Continued Fraction Formula of Wall.
Kiming I. & Olsson J. : Archiv der Math. (Basel) 59 (1992), 825-855. #169
Congruences like Ramanujan´s for powers of the partition function.
King Ch. : The Fibonacci Quarterly 1 (1963), No.4, December, 15-19. O
Leonardo Fibonacci.
KinKelin V. H. : J. Reine Angew. Math. 57 (1860), 122-138. #166
Über eine mit Gamma Funktion verwnadte Transcendente und deren Anwendung auf die Integralrechnung.
Kiper A. : Math. Comp. 43 (1984), 247-259. xxxix2 / cxii
Fourier series coefficients for powers of the Jacobian elliptic functions.
Kirillov A. N. & Schilling A. & Shimonozo M. : Séminaire Lotharingien de Combinatoire 42 (1998), B42j, 19pp. F.ps
Various Representations of the Generalized Kostka Polynomials.
Kirschenhofer P. & Prodinger H. : Mathematika 38 (1991), No.1, 14-33. xcviii
On some applications of formulae of Ramanujan in the
analysis of algorithms.
Kiss P. & Mátyás F. : J. Number Theory 31 (1989), 255-259. lxxxvii / cxviii
An Asymptotic formula for Pi.
Kjelsen T. H. : Historia Math. 20 (1993), No.1, 19-44. c / upv-f1
The early history of the moment problem.
Kleiber J. : Mess. Math. 22 (1893), 1-44. lxxxv
On a class of functions derivable from complete elliptic integrals, and connected with Legrendre´s functions.
Klein F. : Math. Annalen 14 (1879), 111-172. xciv
Ueber die transformation der elliptische functionen und die auflösung der gleichungen füften grades.
Klein F. : Math. Annalen 17 (1880), 62-70. xciv
Zur theorie der elliptischen modulfunctionen.
Klein F. : Nouv. Ann. Math. (3) 15 (1896), 327-331. lxvii
Sur une représentation géometrique du développement en fraction continue ordinaire.
Klusch D. : Math. Zeit. 193 (1986), No.4, 515-526. liv
Mellin transforms and Fourier-Ramanujan expansions.
Klusch D. : Acta Arithm. 52 (1989), No.3, 283-292. civ
On Mellin-Ramanujan expansions.
Klusch D. : Acta Arithm. 58 (1991), No.1, 59-64. cxlvii
On entry 8 of chapter 15 of Ramanujan´s notebook II.
Knobloch E. : Annals of Sci. 46 (1989), No.3, 277-302. xc
Leonhard Eulers mathematische notizbucher.
Knoebel A. : Amer. Math. Monthly 88 (1981), 235-252. lxxiv
Exponentials reiterated.
Knopfmacher A. : Proc. Edinburgh Math. Soc. (2) 34 (1991), No.1, 7-17. xxiii
The length of the continued fraction expansion for s class of rational functions...
Knopfmacher A. : J. Math. Anal. Appl. 162 (1991), No.2, 526-536. xvi
Infinite product factorizations of analytic functions.
Knopfmacher A. : Progress in Approximation Theory, Academic Press (1991), 513-533. cxlviii / #155
Generalized series expansions of functions.
Knopfmacher A. & Knopfmacher J. : Rend. Circ. Mat. Palermo (2) 36 (1987), No.3, 434-456.xxi
Infinite series representations for complex numbers.
Knopfmacher A. & Knopfmacher J. : Mathematika 35 (1988), No.2, 297-304. xcviii
The exact length of the Euclidean algorithm in F q(x).
Knopfmacher A. & Knopfmacher J. : Constructive Approximation 4 (1988), No.2, 379-389. lxxxvii / cxvi
Inverse polynomial expansions of Laurent series.
Knopfmacher A. & Knopfmacher J. : J. Approx. Theory 59 (1989), No.3, 276-281. xx / lxxvi
Infinite products for power series.
Knopfmacher A. & Knopfmacher J. : J. Comput. & Appl. Math. 28 (1989), 249-257. #169
Inverse polynomial expansions of Laurent series. II.
Knopfmacher A. & Knopfmacher J. : Internat. J. Math. & Math. Sci. 12 (1989), No.3, 603-613. xci
Two constructions of the real numbers via alternating series.
Knopfmacher A. & Knopfmacher J. : J. Number Theory 41 No.2 (1992), 131-145. xv
Infinite series expansions for p-adic numbers.
Knopfmacher J. & Knopfmacher A. : Asterisque (1992), No.209, 15, 237-246. c / cxviii
Metric properties of algorithms inducing Luroth series expansions of Laurent series.
Knopfmacher A. & Knopfmacher J. & Ridley J.N. : J. Math. Anl .& Appl. 149 (1990),No. 2, 402-411. xx / cxii
Unique factorizations of formal power series.
Knopfmacher A. & Lubinsky D. S. : Revista Colombiana Mat. 24 (1990), No. 3-4, 179-182. lxxxiii
Nonnormality of continued fraction partial quotients modulo q.
Knopp K. : Math. Zeit. 15 (1922), 226-253. xciii / xcvii
Über das Eulersche Summierungsverfahren. I
Knopp K. : Math. Zeit. 18 (1923), 125-156. xcvii
Über das Eulersche Summierungsverfahren. II.
Knopp M. I. : Proc. Symp. Pure Math. 49 part 2, Theta Functions Bowdoin 1987, A.M.S. (1989), 111-127. O
On the Fourier coefficients of cups forms having small positive weight.
Knopp M. : Invent. Math. 117 (1994), 361-372. cxlv
On Dirichlet series satisfiying Riemann´s functional equation.
Knott C. G. (Ed.) : 1915 Longmans, Green and Co. e-B
Napier, Tercentenary Memorial Volume.
Knuth D. E. : The Fibonacci Quarterly 2 (1964), No.1, February, 43-44. O
Transcendental numbers based on the Fibonacci sequence.
Knuth D. E. : J. Number Theory 19 (1984), 443-448. v
The distribution of continued fractions approximations.
Knuth D. E. : Amer. Math. Monthly 91 (1984), No.8, 465-470. Ó
The toilet paper problem.
Knuth D. E. : Amer. Math. Monthly 99 (1992), No.5, 403-422. O
Two Notes on Notation.
Knutson D. : Amer. Math. Monthly 79 (1972), 1111-1112. cvi
A lemma on partitions.
Ko K. I. : Theoretical Comput. Sci. 47 (1986), No.3, 299-313. ci / upv-f1
On the continued fraction representation of computable real numbers.
Ko K. I. : Theoretical Comput Sci. 54 (1987), No.2-3, 341-343. cii
Corrigenda " On the continued fraction representation of computable real numbers. ".
Koblitz N. I. : Trans. Amer. Math. Soc. 260 (1980), 449-457. xciv
q-extension of the p-adic gamma function.
Koecher M. : The Math. Intelligencer 2 (1980), No.2, 62-64. O
Letter. (Deutch) (Subject : Apéry, zeta(2), zeta(3),...).
Koecher M. : Proc. Indian Acad. Sci. (Math. Sci.): Ramanujan B.C.V. 97 (1987), 179-188. O
On endomorphisms of degree two.
Koechlin H. : L´Interm. des Math. 13 (1906), 28-30. lxviii
Fractions continues arithmetiques.
Koelink E. : Special Functions, q-Series and Related Topics, M.E.H. Ismail... (Eds.), A.M.S. 1997, 109-129. O
Addition Formulas for q-Special Functions.
Koepf W. : Vieweg Verlag 1998. O
Hypergeometric Summation, An Algorithmic Approach to Summation of Special Functions Identities.
Kohlbecker E. : Trans. Amer. Math. Soc. 88 (1958), 346-365. #163
Weak asymptotic properties of partitions.
Köhler G. : Monatschefte Math. 89 (1980), 95-100. xxiv
Some more predictable continued fractions.
Köhler G. : Math. Zeit. 197 (1988), 69-96. lxxix
Theta series on the Hecke groups G(root(2)) and G(root(3)).
Köhler G. : Abh. Math. Sem. Univ. Hamburg 58 (1988), 15-45. lxxix
Theta series on the theta group.
Köhler G. : Math. Scan. 66 (1990), 147-154. lvii
Some eta-identities arising from theta series.
Kohnen W. : Proc. Indian Acad. Sci. Math. Sci. 104 (1994), No.2, 333-337. lxxxi3
On the Ramanujan-Petersson conjecture for modular forms of half-integral weight.
Koike M. : Hiroshima Math. J. 22 (1992), No.3, 461-467. cxxxiv
Hypergeometric series over finite fields and Apery numbers.
Koike M. : Hiroshima Math. J. 25 (1995), No.1, 43-52. cxxxiv
Orthogonal matrices obtained from hypergeometric series over finite fields and elliptic curves over finited fields.
Koksma J. F. : Simon Stevin 29 (1951/1952), 96-102. cix
On continued fractions.
Kolberg O. : Mathematica Scandinavica 5 (1957), 77-92. cxxxviii
Some identities involving the partition functions.
Kolberg O. : Mathematica Scandinavica 7 (1959), 377-378. #165
Note on the parity of the partition functions.
Kolesnik G. : Acta Arithmetica 25 (1973), 7-30. #163
On the Estimation of Some Exponential Sums.
Kolesnik G. : Pacific J. Math. 98 (1982), 107-122. #158
On the order of zeta(1/2 + it) and delta(R).
Kolitsch L. W. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 183-187. O
Congruences for certain generalized Frobenius partitions modulo p^3.
Kolitsch L. W. & Sellers J. A. : The Ramanujan Journal 3 (1999), No.2, June, 221-226. O
Eelmentary Proofs of Infinitely Many Congruences for 8-Cores.
Komatsu T. : J. Number Theory 59 (1996), No.2, 291-312. #152
A certain power series and the inhomogeneous continued fraction expansions.
Kondo T. : J. of the Math. Soc. of Japan 37 (1985), 337-362. #149
The automorphism group of Leech lattice and elliptic modular functions.
Kondo T. & Tasaka T. : Nagoya Math. J. : 101 (1986), 151-179. xciii
The theta functions of sublattices of the Leech lattice.
Kondo T. & Tasaka T. : J. Fac. Sci. Univ. Tokyo Sec. IA 34 (1987), 545-572. xciii
The theta functions of sublattices of the Leech lattice. (cont.)
Koornwinder T. H. : J. Comput & Appl. Math. 48 (1993), 91-111. cii / upv-i1
On Zeilberger´s algorithm and its q-analogue.
Koornwinder T. H. : Special Functions, q-Series and Related Topics, Ismail... (Eds.), A.M.S. 1997, 131-166. O
Special Functions and q-Commuting Variables.
Kopecek N. & Larcher G. & Tichy R. F. : Ann. Inst. Fourier (Grenoble) 37 (1987), No.3, 1-17. xcvi
On the discrepancy of sequences associated with the sum of digits function.
Kopeliovich Y. & Quine J. R. : The Ramanujan Journal 2 (1998), No.3, 371-378. O
On the Curve X(9).
Kopetzky H. G. & Schnitzer F. J. : J. Austral. Math. Soc. Ser. A 43 No.2 (1987), 176-186. xiv
A geometrical approach to approximations by continued fractions.
Koppe K. : Math. Ann. 29 (1887), 187-233. lxviii
Ueber die in den Vielfachen eines Kettenbruchs enthaltenen grössten Gauzen.
Koppe M. : Sitz. Berlin Math. Gess. 15 (1916), 168-178. lxvii
Das Rechnen mit Kettenbrüchen.
Korkina E. : C. R. Acad. Sci. Paris Ser. I. Math. 319 (1994), No.8, 777-780. xciv
La periodicite des fractions continues multidimensionnelles.
Körner O. : Proc. Indian Acad. Sci. (Math. Sci.): Ramanujan B.C.V. 97 (1987), 189-199. O
Traces of Eichler-Brandt matrices and type numbers of quaternion orders.
Korobov A. N. : Math. Notes of the Acad. of Sci. USSR 47 (1990), No.1-2, 128-132. xxi
Continued fractions of some normal numbers.
Korobov A. N. : Acta Artih. 71 (1995), No.4, 331-349. xcix / cxviii
Multidimensional continued fractions and estimates for linear forms.
Korovkin P. P. : 1963/1968 Gordon and Breach Ltd. O
Differentiation.
Korovkin P. P. : 1969 Gordon and Breach Ltd. O
Limits and Continuity.
Koshliakov N. S. : Messenger Math. 58 (1929), 1-23. liii
Application of the theory of sumformulae to the invest. of a class of one-valued analy. funct.
Kosma J. F. : Simon Stevin 28 (1951), 199-202. #153
Sur l´approximation des nobres irrationels sous une condition supplementaire.
Kozen D. & Landau S. : J. Symbolic Comput. 7 (1989), 445-456. cxi
Polynomial decomposition algorithms.
Kraaikamp C. : Indag. Math. 49 (1987), No.2, 177-191. lx
The distribution of some sequences connected with the nearest integer continued fraction.
Kraaikamp C. : Theoretical Comput. Sci. 65 (1989), No.2, 197-212. upv-f1
Statistic and ergodic properties of Minkowski´s diagonal continued fraction.
Kraaikamp C. : Indag. Math. 1 (1990), No.1, 63-75. xxi
On the approximation by continued fractions II.
Kraaikamp C. : Acta Arith. 57 (1991), No.1, 1-39. xxii / xx / cx
A new class of continued fractions.
Kraaikamp C. : Bull. Soc. Math. France 121 (1993), No.1, 117-131. c / cxvii
Maximal S-expansions are Bernoulli shifts.
Kraaikamp C. : J. Number Theory 46 (1994), No.2, 137-157. c / cxviii
On symmetric and asymmetric Diophantine approximation by continued fractions.
Kraaikamp C. & Liardet P. : Proc. Amer. Math. Soc. 112 No.2 (1991), 303-309. xv
Good approximations and continued fractions.
Kraaikamp C. & Lopes A. : Geometriae Dedicata 59 (1996), No.3, 293-333. xcv / cxii
The theta group and the continued fraction expansion with even partial quotients.
Kraaikamp C. & Meester R. : Monatshefte Math. 125 (1998), No.1, 1-14. cxlvi
Convergence of continued fraction type algorithms and generators.
Kraitchik M. : Mathesis 36 (1922), 310-313. lxii2 / ?
Sur le développement en fraction continue de la racine cubique d´un nombre.
Krammer D. : J. Number Theory 44 (193), No.3, 244-254. cxxxiii
Sums of three squares and q-series.
Kramp C. : Ann. de Math. Pures et Appl. 1 (1810), 261-285. xlviii
Recherches sur les fractions continues périodiques I.
Kramp C. : Ann. de Math. Pures et Appl. 1 (1810), 319-321. xlviii
Recherches sur les fractions continues périodiques II.
Kramp C. : Ann. de Math. Pures et Appl. 1 (1810), 351-353. xlviii
Recherches sur les fractions continues périodiques III.
Krattenthaler C. : Proc. Amer. Math. Soc. 90 (1984), 338-344. #172
A new q-Lagrange formula and some applications.
Krattenthaler C. : Cand. J. Math. 41 (1989), No.4, 743-768. lxx
q-analogue of a two-variable inverse pair of series with applications to basic double hypergeometric series.
Krattenthaler C. : Manuscripta Math. 69 (1990), 173-202. #171
Generating functions for plane partitions of a given shape.
Krattenthaler C. : Séminaire Lotharingien de Combinatoire 30 (1993), B30a, 16pp. F.ps
HYP and HYPQ Mathematica packages for the manipulation of binomial sums and hypergeometric series...
Krattenthaler C. : J. Symbolic Comput. 20 (1995), No.5-6, 737-744. #159
Hyp and Qhyp : Mathematica packages for the manipulation of binomial sums and hyperg. series...
Krattenthaler C. : Séminarie Lotharingien de Combinatoire 36 (1996), B363, 23pp. F.ps
Some q-analogues of determinant identities which arose in plane partition enumeration.
Krattenthaler C. : Séminaire Lotharingien de Combinatoire 42 (1998), B42o, 67pp. F.ps
Advanced Determinant Calculus.
Krauss A. : The Ramanujan Jorunal 3 (1999), No.3, September, 315-333. O
On the equation x^p + y^p = z^r : A survey.
Kravanja P. & Van Barel M. : Lectures Notes in Mathematics Vol. 1727, 2000 Springer Verlag. O
Computing de Zeros of Analytic Functions.
Kreisel G. : J. Symbolic Logic 23 (1958), No.2, 155-182. cxxvii
Mathematical significance of consistency proofs.
Krieg A. : Proc. Indian ACad. SCi. (Math. Sci.): Ramanujan B.C.V. 97 (1987), 201-229. O
The Hecke-algebras related to the unimodular and modular group over the Hurwitz order...
Krieger H. : Arch. Hist. Exact. Sci. 5 (1968), 37-46. cxxix
Über Stirlings Bestimmung von Sum ( (-1)^n / (2n+1) ) und Sum ( 1/n^2).
Krishna J.G. & Devi S.U.S. : Ramanujan Inter. Symp. Anal. Pune 1987, ed. Thakare, Macmillan (1989), 411-419. O
Non-standard methods in asymptotic analysis.
Krishnaiah P. V. & Sita Rama Chandra Rao R. : Canad. Math. Bull. 22 (1979), 177-185. lxxviii / l3
On Berndt´s method in arithmetical functions and contour integration.
Krishnamurthy V. : J. Indian Inst. Sci. 1987 ( Special Issue ), 11-24. xxxiii / O
Srinivasa Ramanujan : A biographical sketch and a glimpse of his work.
Krishnaswami-Ayyangar A. A. : Math. Student 6 (1938), 45-67. xxxvi
A new study of the half-regular continued fraction.
Krishnaswami-Ayyangar A. A. : Math. Student 8 (1940), 159-166. xxxvi
The role of unit partial quotients in some continued fractions.
Krishnan C. : J. Indian Math. Soc. 12 (1948), 79-88. xxxiii
On the equivalence of certain infinite series and the corresponding integral.
Kronheimer E. : Amer. Math. Monthly 94 (1987), No.10, 1014-1019. O
Infinite summable sequences. Problem 6516 [ 1986, 305 ], Solution.
Krupka Z. I. : USSR Comput. Maths. & Math. Phys. 21 (1981), 8-14. lxxii
Artihmetic operations with continued fractions.
Kruyswijk D. : Nieuw. Arch. Wiskunde (2) 23 (1950), 97-107. #163
On some Well-Known Properties of the Partition Function p(n) and Euler´s Infinite Product.
Krzyz J. G. : 1971 American Elsevier Publishing Co. O
Problems in Complex Variable Theory.
Kuchminskaya Kh. I. : Lect. Notes Math. (Rational Approx.), 1237 (1987), 207-216. cxxxi
On approximation of functions by two-dimensional continued fractions.
Kuchminskaya Kh. I. & Siemaszko W. : Lect. Notes Math. (Rational Approx.), 1237 (1987), 24-40. cxxxi
Rational approximation and interpolation of functions by branched continued fractions.
Kuhner J. : J. Number Theory 53 (1995), No.1, 1-12. xcix / cxviii
On a family of general continued fraction expansions with period length going to infinity.
Kuipers L. & Meulenbeld B. : Acta Mathematica 87 (1952), 1-12. lxi
Some properties of continued fractions.
Kuipers L. & Meulenbeld B. : Nieuw Arch. Wiskunde (3) 1 (1953), 199-211. lix
On certain classification of the convergents of a continued fractions I.
Kuipers L. & Meulenbeld B. : Nieuw Arch. Wiskunde (3) 2 (1954), 32-39. lvi2
On certain classification of the convergents of a continued fractions II.
Kulkarni S.R. & Naik U.H. : Ramanujan Inter. Symp. Anal, Pune 1987, ed. Thakare, Macmillan (1988), 347-358. O
Regions of Starlikeness and convexity for some holomorphic functions.
Kuperberg G. : J. Combin. Theory Ser. A 68 (1994), 115-151. #171
Symmatries of plane partitions and the permanent determinat method.
Kupershmidt B. A. : J. of Mathematical Sci. (N.Y.) 81 (1996), No.3, 2589-2598. cxxx/ cxxxiii / cv-3
On a sequence of continued fraction of Ramanujan and their q-analogs.
Kurshan R. P. & Gopinath B. : Canadian J. Math. 26 (1974), 1356-1371. cxxvi
Recursively generated periodic sequences.
Kuznetsov N. V. : Number Theory and Related Topics, Bombay (1988), T.I.F.R. - O.U.P. (1989), 57-117. O
Sums of Kloosterman sums and the eighth power moments of the Riemann zeta-function.
Kuznetsov N. V. : Proc. Symp. Pure Math. 49 part 2, Theta Function Bowdoin 1987, A.M.S. (1989), 251-266. O
The sums of the Kloosterman sums.
Kuznetsov V. B. & Sklyanin E. K. : The Ramanujan Journal 3 (1999), No.1, 5-35. O
Separation of Variables and Integral Relations for Special Functions.
Labelle G. : Adv. in Math. 42 (1981), 217-247. cxxxvii
Une nouvelle démonstration combinatoire des formules d´inversion de Lagrange.
Labelle G. & Pineau D. S. : Adv. in Appl. Math. 15 (1994), No.4, 452-475. cxxxiii
Ensembles et permutations paires : Series indicatrices d´asymetrie et q-series.
Labelle J. & Yeh Y. N. : European J. Combinatorics 9 (1988), No.6, 593-605. eujc1
Some combinatorics of the hypergeometric series.
Labelle J. & Yeh Y. N. : J. Math. Anal. & Appl. 139 (1989), No.1, 36-48. cxxix
Combinatorial proofs of symmetry formulas for the generalized hypergeometric series.
Labhalla S. : Theoret. Comput. Sci. 83 (1991), No.2, 219-235. ci / upv-f1
Complexite du calcul du developpement d´un nombre reel en fractions continues.
Labhalla S. & Lombardi H. : C. R. Acad. Sci. Paris Ser I. Math. 310 (1990), No.6, 483-488. lxxxii
Comparaison des complexites des nombres reels dans differentes representations (... c.f. ).
Labhalla S. & Lombardi H. : Annals pure & Appl. Logic 50 (1990), No.1, 1-28. c / upv-f1
Real numbers, continued fractions and complexity classes.
Labhalla S. & Lombardi H. : Acta Arith. 73 (1995), No.1, 29-41. xxii
Homographic transformation applied to a finite or infinite development in a continued fraction.
Lacroix S. F. : 7th Ed. 1867 Gauthier Villars. e-B
Traité Élémetaire de Calcul Différentiel et de Calcul Integral. Tome 1.
Lacroix S. F. : 7th Ed. 1867 Gauthier Villars. e-B
Traité Élémentaire de Calcul Différentiel et de Calcul Integral. Tome 2.
Laczkovich M. : Amer. Math. Monthly 104 (1997), No.5, 439-443. #154
On Lambert´s proof of the irrationality of Pi.
Lafer Ph. : The Fibonacci Quarterly 2 (1964), No.2, April, 114 & 134. O
Exploring the Fibonacci representation of integers.
Lafforgue L. : C. R. Acad. Sci. Paris Ser. I. Math. 322 (1996), No.7, 605-608. #153
Sur la conjecture de Ramanujan-Petersson pour les corps de fonctions. I. Etude geométrique.
Lafforgue L. : C. R. Acad. Sci. Paris Ser. I. Math. 322 (1996), No.8, 707-710. #153
Sur la conjecture de Ramanujan-Petersson pour les corps de fonctions. II. Etude spectrale.
Lagarias J. : Amer. Math. Monthly. 92 (1985), 3-23. f
The 3x + 1 problem and its generalizations.
Lagarias J. C. : Monatsh. Math. 115 (1993), No.4, 299-328. ciii
The quality of the Diophantine approximations found by the Jacobi-Perron algorithm and related algorithms.
Lagarias J. C. : Proc. London Math. Soc. (3) 69 (1994), No.3, 464-488. xcvii
Geodesic multidimensional continued fractions.
Lagrange J. : Bull. Sci. Math. (2) 84 (1960), 105-110. lxxix
Une formule sommatoire et ses applications.
Lagrange J. L. : Gauthier Villars Paris (1869) Oeuvres Tome 4 , 301-332. xxxi
Sur l'usage des fractions continues dans le calcul intégral.
Lahiri D. B. : Bull. Calcuta Math. Soc. 38 (1946), 193-206. #163
On Ramanujan´s Function tau(n) and the Divisor Function sigma sub k (n). I
Lahiri D. B. : Bull. Calcuta Math. Soc. 39 (1947), 33-52. #163
On Ramanujan´s Function tau(n) and the Divisor Function sigma sub k (n). II
Lakein R. K. : Monat. Math. 77 (1973), 396-403. xxxix
Approximation properties of some complex continued fractions.
Lakin A. : J. London Math. Soc. 27 (1952), 229-234. cxlii
A hypergeometric identity related to Dougall´s theorem.
Lambe C. G. & Ward D. R. : Quart. J. Math. (Oxford) 5 (1934), 81-97. cxliii
Some differential equations ans associated integral equations.
Lambert J. P. : Amer. Math. Monthly 95 (1988), No.2, 141-148. O
An odd / even power sum inequality. Problem E 3102* [ 1985, 507 ], Solution.
Lamphere R. L. : Proc. Amer. Math. Soc. 91 (1984), 416-420. v
Elementary proof of a formula of Ramanujan.
Lamphere R. L. : The Ramanujan Journal 4 (2000), No.1, March, 11-12. O
Note on a Continued Fraction of Ramanujan.
Lan Y. : J. Number Theory 78 (1999), 271-286. #169
A limit formula for zeta(2k + 1).
Landen J. : London 1780-1789. O
Mathematical Memoirs. 2 Volumes in 1.
Landau E. : Bull. Soc. Math. France 27 (1899), 298-300. cxxviii / cxlv
Sur la série des invers de nombres de Fibonacci.
Landau S. : SIAM J. Comp. 21 (1992), No.1, 85-110. xxii
Simplification of nested radicals.
Landau S. : Math. Intell. 16 (1994), No.2, 49-55. O
How to Tangle with a Nested Radical.
Landau S. : Math. Intell. 20 (1998), No.4, 55-60. O
Root(2) + Root(3) : Four Different Views.
Landsberg G. : J. Reine Angew. Math. 109 (1892), 231-237. lxiii / lviii / ?
Zur theorie der periodischen kettenbrüche.
Landsberg G. : Classes de Sciences Tome LV , Paris 1896. F
Sur un nouveau développement de la fonction gamma.
Lane R. E. : Bull. Amer. Math. Soc. 51 (1945), 246-250. ix
The convergence and values of periodic continued fractions.
Lane R. E. : Duke Math. J. 12 (1945), 207-216. xxxv
The value region problem for continued fractions.
Lane R. E. & Wall H. S. : Trans. Amer. Math. Soc. 67 (1949), 368-380. ix
Continued fractions with absolutely convergent even and odd parts.
Lang S. : Addison-Wesley 1966. O
Introduction to Transcendental Functions.
Lang S. : third ed. 2nd print, Undergraduate Text in Math., 1987 Springer Verlag. O
Calculus of Several Variables.
Lang S. : Fourth Edition, Graduate Text in Mathematics No. 103, 1999/2001 Springer Verlag. O
Complex Analysis.
Lang S. & Trotter H. : J. Reine Angew. Math. 255 (1972), 112-134. xxxi
Continued fractions for some algebraic numbers.
Lange L. J. : Illinois J. Math. 10 (1966), 97-108. xxx / xxxviii
On a family of twin convergence regions for continued fractions.
Lange L. J. : Proc. Analytic Theory Continued Fractions, Norway 1981, Lect. Notes Math. 932 (1982), 152-175. O
delta-fraction expansions of analytic functions.
Lange L. J. : Proc. Anal T. Continued Fractions II 1985, Lect. Notes Math. 1199 (1986), 220-262. O
Continued fraction applications of zero location.
Lange L. J. : SIAM J. Math. Anal. 14 (1983), 323-368. lxxii
delta-fraction expansions of analytic functions.
Lange L. J. : J. Math. Anal. & Appl. 188 (1994), No.3 , 985-998. xx / cxii
A uniform twin parabola convergence theorem for continued fractions.
Lange L. J. : Proc. Continued Fractions & O. F. IV Norway 1992, Dekker LNPAM 154 (1994), 211-231. O
Srrip convergence regions for continued fractions.
Lange L. J. : Proc. Continued Fractions & O. F. IV Norway 1992, Dekker LNPAM 154 (1994), 233-279. O
Continued fraction representations for functions related to the gamma function.
Lange L. J. : Construct. Approx. 11 (1995), No.3, 321-329. ci / cxix
Convergence region inclusion theorems for continued fractions K(An/1).
Lange L. J. : Proc. O. F., M. T. & C. F. V, Brazil 1996, Dekker LNPAM 199 (1998), 275-326. O
Uniformity and speed of convergence of complex continued fraction K(An/1).
Lange L. J. : Amer. Math. Monthly 106 (1999), No.5, 456-459. #154
An elegant continued fraction for Pi.
Lange L. J. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 179-192. O
A generalization of Van Vleck´s theorem and more on complex continued fractions.
Lange L.J. & Thron W.J. : Math. Zeitschr. 73 (1960), 295-311. xxxvii
A two parameter family of best twin convergence regions for continued fractions.
Langebartel R. G. : SIAM J. Math. Anal. 11 (1980), 506-513. lxxix
Fourier expansions of rational fractions of elliptic integrals and Jacobian elliptic functions.
Langevin M. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 187-213. O
Liens entre le théorème de Masson et la conjecture (abc).
Laohakosol V. & Ubolsri P. : Bull. Malaysian Math. Soc. (2) 9 (1986), No.1, 1-21. xciv
Continued fractions representing transcendental numbers.
Laohakosol V. & Ubolsri P. : Proc. Amer. Math. Soc. 101 No.3 (1987), 403-410. xv
p-adic continued fractions of Liouville type.
Larcher G. : Proc. Amer. Math. Soc. 103 (1988), No.3, 718-722. xv
A convergence problen connected with continued fractions.
Larcher G. : Manuscripta Math. 61 (1988), No.1, 33-42. xcviii
On the distribution of sequences connected with digit-representation.
Lascoux A. : Séminaire Lotharingien de Combinatoire 42 (1998), B42p, 15pp. F.ps
Square-Ice Enumeration.
Lascoux A. : Séminaire Lotharingien de Combinatoire 44 (2000), Article B44e, 4pp. F.ps.
Motzkin paths and powers of continued fractions.
Lasjannias A. : J. Number Theory 65 (1997), No.2, 206-225. cxlvii / #150
Diophantine approximation and continued fraction expansions of algebraic power series inpositive characteristic.
Lau T. S. : Statist Probab. Lett. 8 (1989), No.1, 9-16. xcvii
Moment inequalities.
Laugwitz D. : Elem. Math. 45 (1990), No.4, 89-98. lxxxviç
Kettenwurzeln und Kettenoperationen.
Laugwitz D. & Rodewald B. : Amer. Math. Monthly 94 (1987), No.6, 534-536. O
A simple characterization of the gamma function.
Laurent H. : Nouv. Ann. Math. (2) 5 (1866), 540-552. xxv
Note sur les fractions continues.
Laurent H. : J. Math. Pures et Appl. (3) 1 (1875), 373-398. lxxii
Mémoire sur les fonctions de Legrendre.
Lauricella G. : Rend. Circ. Mat. Palermo 7 (1893), 111-158. cxxxvii
Sulle funzioni ipergeometriche a piú variabili.
Lavoie J. L. : Math. Comp. 46 (1986), 215-218. xxxix2 / cxii
Some evaluations for the generalized hypergeometric series.
Lavoie J. L. : Math. Comp. 49 (1987), 269-274. xxxix2 / cxii
Some summation formulas for th series 3F2(1).
Lavoie J. L. & Grondin F. : J. Math. Anal. & Appl. 186 (1994), 393-401. cxxxvii
The Kampé de Fériet functions : A family of reduction.
Lavrentiev M. A. & Shabat B. V. : Mir Moscu, 1973-91. O
Métodos de la Teoría de las Funciones de una Variable Compleja.
Lay-Yong L. & Tian-Se A. : Historia Mathematica 13 (1986), 325-340. Pi : A source book, 20-35.
Circle Measurement in Ancient China.
Le M. H. : Acta Arithm. 58 (1991), No.3, 289-298. cii / cxx
On the generalized Ramanujan-Nagell equation x^2 - D = p^n.
Le M. H. : Acta Arithm. 60 (1991), No.2, 149-167. cii / cxx
On the number of solutions of the generalized Ramanujan-Nagell equation x^2 - D = 2^(n+2).
Le M. H. : Trans. Amer. Math. Soc. 334 (1992), No.2, 809-825. ciii
On the generalized Ramanujan-Nagell equation x^2 - D = 2^(n+2).
Le M. H. : Publicat. Math. Debrecen 45 (1994), 239-254. #149
On the number of solutions of the generalized Ramanujan-Nagell equation X^2 - D = p^n
Le M. H. : J. Number Theory 50 (1995), No.2, 193-201. cii / cxx
A note on the generalized Ramanujan-Nagell equation.
Le M. H. : Acta Arithm. 78 (1996), No.1, 11-18. #152
A note on the number of solutions of the generalized Ramanujan.Nagell equation X^2-D = K^n.
Le M. H. : J. Number Theory 62 (1997), No.1, 100-106. #152
A note on the number of solutions of the generalized Ramanujan-Nagell equation D1X^2 + D2 = 4p^n.
Leathem J. G. : 1925 G. Bell & Sons. O
Elements of the Mathematical Theory of Limits.
Lebesgue V. A. : J. Math. Pures et Appl. 5 (1840), 42-71. cvi
Sommation de quelques series.
Le Besgue V. A. : J. Math. Pures et Appl. 5 (1840), 281-308. lxxii
Résolution de l´equation du secon degré à une inconnue par les fractions continues.
Lecacheux O. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 229-243. O
Unités de corps de nombres et courbes de genre un et deux.
Leech J. : J. London Math. Soc. 31 (1956), 160-169. lxx
On the representation of 1,2,...n by differences.
Leech J. : J. London Math. Soc. 32 (1957), 56-58. xlii
Note on the distribution of prime numbers.
Legrendre A. M. : Tome II Chap. 17 (1826) Paris. li /???.
Traité des fonctions elliptiques et des integrales Eulériennes.
Lehmer D. H. : Annals. Math. (2) 23 (1932), 143-150. xxx
Arithmetical properties of Bessel functions.
Lehmer D. H. : Annals of Math. 36 (1935), 637-649. #163
Lacunary Recurrence Formulas for the Numbers of Bernoulli and Euler.
Lehmer D. H. : J. London Math. Soc. 11 (1936), 114-118. xlv
On a conjecture of Ramanujan.
Lehmer D. H. : J. London Math. Soc. 12 (1937), 171-176. xlv
On the Hardy-Ramanujan series for the partition function.
Lehmer D. H. : Duke Math. J. 4 (1937), 323-340. xviii
A cotangent analogue of continued fractions.
Lehmer D. H. : Bull. Amer. Math. Soc. 44 (1938), 84-90. xlvi
An application of Schläfli´s modular equation to a conjecture of Ramanujan.
Lehmer D. H. : Amer. Math. Monthly 45 (1938), 657-664. lxxxii
On Arctangent relations for Pi.
Lehmer D. H. : Trans. Amer. Math. Soc. 43 (1938), 271-295. cxxvi / cxxxix
On the series for the partition function.
Lehmer D. H. : Trans. Amer. Math. Soc. 46 (1939), 362-373. #161
On the remainders and convergence of the series for the partition function.
Lehmer D. H. : Bull. Amer. Math. Soc. 52 (1946), 538-544. cxxxi
Two nonexistence theorems on partitions.
Lehmer D. H. : Math. Student 27 (1959), 105-116. lvii
Some functions of Ramanujan.
Lehmer D. H. : J. Math. Analysis & Appl. 36 (1971), 183-200. cxxvii
On the compounding of certain means.
Lehmer D. H. : Scripta Math. 29 (1973), 17-24. xxii
Continued fractions containing arithmetic progresions.
Lehmer D. H. : Amer. Math. Monthly. 92 (1985), 449-457. f
Interesting series involving the central binomial coefficient.
Lehmer D. H. & Powers R. E. : Bull. Amer. Math. Soc. 37 (1931), 770-776. lx
?????????.
Lehmer D. N. : Annals of Math. (2) 2 (1900-1901), 146-147. lxxii
A theorem in continued fractions.
Lehmer D. N. : Bull. Amer. Math. Soc. (2) 21 (1914), 166-167. lxviii
Some further results in the theory of continued fractions representing the sur R^1/2.
Lehmer D. N. : Bull. Amer. Math. Soc. 23 (1917), 401-402. lxviii
Certain divisibility theorems concerning the convergents of Hurwitzian continued fractions.
Lehmer D. N. : Bull. Amer. Math. Soc. 24 (1918), 417-418. lxviii
On Jacobi´s extension of the continued fraction algorithm.
Lehmer D. N. : Amer. J. Math. 40 (1918), 375-390. xxxii
Arithmetical theory of certain Hurwitzian continued fractions.
Lehmer D. N. : Proc. Nat. Acad. Sci. 4 (1918), 214-218. xxx
Arithmetical theory of certain Hurwitzian continued fractions.
Lehmer D. N. : Proc. Nat. Acad. Sci. USA 4 (1918), 360-364. lxvii
On Jacobi´s extension of continued fraction algorithm.
Lehmer D. N. : Bull. Amer. Math. Soc. 37 (1931), 565-569. xxv
Inverse ternary continued fractions.
Lehmer D. N. : Tohoku Math. J. 37 (1933), 436-445. xxxi / xlvii
On ternary continued fractions.
Lehmer D. N. : Annals of Math. 36 (1935), 637-649. cviii
Lacunary recurrence formulas for the numbers of Bernoulli and Euler.
Lehmer E. : The Fibonacci Quarterly 2 (1964), No.3, October, 229-230. O
On the infinitude of Fibonacci pseudo-primes.
Lehner J. : Duke Math. J. 8 (1941), 631-655. cxlvi
A partition function associated with the modulus five.
Lehner J. : Amer. J. Math. 65 (1943), 492-520. cxxvi
Ramanujan´s identities involving the partition function for the moduli 11^a.
Lehner J. : Proc. Amer. Math. Soc. 1 (1950), 172-181. #149
Proof of Ramanujan´s partition congruence for the modulus 11^3.
Lehner J. : Trans. Amer. Math. Soc. 87 (1958), 130-143. lxxxiii
Partial fraction decomposition and expansions of zero.
Lehner J. : Holt, Rinehart and Winston 1966. O
A Short Course in Automorphic Functions.
Lehner J. : London Math. Soc. Lect. Note Ser. No.173 (Discrete groups and geometry), CUP 1992, 165-170. xcvii
Farey series and sums of continued fractions.
Lehner J. & Wing M. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 81-82. O
On Weyl´s inequality for eigenvalues.
Leighton W. : Bull. Amer. Math. Soc. 42 (1936), 184. lx
A continued fraction expansions.
Leighton W. : Duke Math. J. 4 (1938), 775-778. vi2
Sufficient conditions for the convergence of a continued fraction.
Leighton W. : Duke Math. J. 5 (1939), 298-308. vi2
Convergence theorems for continued fractions.
Leighton W. : Bull. Amer. Math. Soc. 45 (1939), 97-100. xxxv
A test-ratio test for continued fractions.
Leigthon W. : Amer. Math. Monthly 47 (1940), 274-280. xxxi
Proper continued fractions.
Leighton W. & Scott W. T. : Bull. Amer. Math. Soc. 45 (1939), 596-605. vi2
A general continued fraction expansion.
Leighton W. & Thron W. J. : Duke Math. J. 9 (1942), 763-772. ii
Continued fractions with complex elements.
Leigthon W. & Thron W. J. : Bull. Amer. Math. Soc. 48 (1942), 917-920. xxxv
On value regions for continued fractions.
Leighton W. & Thron W. J. : Ann. of Math. (2) 44 (1943), 80-89. xviii
On the convergence of continued fractions to meromorphic functions.
Leighton W. & Wall H. S. : Bull. Amer. Math. Soc. 39 (1933), 873. lx
On the transformation and convergence of continued fractions.
Leighton W. & Wall H.S. : Ame. J. Math. 58 (1936), 267-281. ii
On the transformation and convergence of continued fractions.
Lelong P. & Gruman L. : G.M.W. 282, 1986 Springer Verlag. O
Entire Functions of Several Complex Variables.
Lembarki A. : J. Computational & Appl. Math. 19 (1987), No.1, 109-116. xxvi
Acceleration of limit periodic continued fractions by the T+m transformation.
Lembarki A. : Appl. Numer. Math. 4 (1988), No.2-4, 337-349. O
Convergence acceleration of limit k-periodic continued fractions.
Lembarki A. : J. Computational & Appl. Math. 25 (1989), No.2, 125-131. xxvi
On a Khovanskii transformation for continued fractions.
Lennes N. J. : Amer. Math. Monthly 46 (1939), 434-436. #162
The ratio test for convergence of series.
Lenstra A. K. & Lenstra H. W. & Lovasz L. : Math. Annalen 261 (1982), 515-534. cxlvi / #155
Factoring polynomials with rational coefficients.
Lenstra H. W. Jr. : Bull. Amer. Math. Soc. (2) 26 (1992), 211-244. cviii
Algorithms in algebraic number theory.
Lenstra H. W. Jr. & Shallit J. O. : Math. Comp. 61 No.203 (1991), 351-354. xvi
Continued fractions and linear recurrences.
Leonard I. E. & Duemmel J. : Amer. Math. Monthly 92 (1985), No.8, 588-589. Ó
More -- and moore - power series without Taylor´s theorem.
Leopold E. : J. Approx. Theory 43 (1985), No.1, 15-24. xvi
Localization of the zeros of polynomials satisfying three-term recurrence relation III.
LePage W. R. : 1961 McGraw-hill. O
Complex Variables and the Lapalce Transform for Engineers.
Lepowsky J. & Feingold A. : Adv. Math. 29 (1978), 271-309. cxxi
The Weyl-Kac character formula and power series identities.
Lepowsky J. & Milne S. : Adv. Math. 29 (1978), 15-59. cxxi
Lie algebraic approach to classical partition identities.
Lepowsky J. & Wilson R. L. : Proc. Natl. Acad. Sci. USA 78 (1981), 699-701. lxxix
The Rogers-ramanujan identities : Lie theoretic interpretation and proof.
Lepowsky J. & Wilson R. L. : Proc. Natl. Acad. Sci. USA 78 (1981), 7254-7258. cxvi / cxx
A new family of algebras underlying the Rogers-Ramanujan identities and generalizations.
Lepowsky J. & Wilson R. L. : Adv. Math. 45 (1982), 21-72. cxi / cxxi
A Lie-theoretic interpretation and proof of the Rogers-Ramanujan identities.
Lepowsky J. & Wilson R. L. : Inventiones Math. 77 (1984), 199-290. cxxi
The structure of standard modules-I : Universal algebras and the Rogers-Ramanujan identities.
Lepowsky J. & Wilson R. L. : Inventiones Mathematicae 79 (1985), 417-442. #170
The structure of standard modules, II : The case A1,(1), principal gradation.
Lekkerkerker C. K. : Simon Stevin 29 (1952), 190-195. xlvii
Representations of natural numbers as a sum of Fibonacci numbers.
Lerch M. : J. Sci. Math. Astrom. 14 (1901), 65-69. xxxvii
Sur la fonction zeta(s) pour valeurs impaires d´argument.
LeRoy E. : Annales de la Fac. Sci. Univ. Toulouse (2) 2 (1900), 317-430. xcii-2
Sur les séries divergentes et les fonctions définies par un développement de Taylor.
Lesaje J. L. : J. Number Theory 73 (1998), No.2, 390-425. #166
Différence entre puisances et carrés d´entiers.
Leshchiner D. : J. Number Theory 13 (1981), 355-362. xxxix2 / cx
Some new identities for zeta(k).
Levesque C. : J. Math. & Phys. Sci. 22 (1988), No.1, 11-44. xxxiv2
Continued fractions expansions and fundamental units.
Levesque C. & Rhin G. : Utilitas Math. 30 (1986), 79-107. lxxxv
A few classes of periodic continued fractions.
Levin B. Ja. : Trans. Math. Mono. Vol. 5, 1964 American Mathematical Society. O
Distribution of Zeros of Entire Functions.
Levrie P. : J. Comp. Appl. Math. 14 (1986), 439-445. xli / upv-i1
Pringsheim´s theorem for generalized continued fractions.
Levrie P. : J. Computational & Appl. Math. 25 (1989), No.1, 93-104. xxvi
Pringsheim´s theorem revisited.
Levrie P. : Numer. Math. 56 (1989), 501-512. lxiv / cxiii
Improving a method for computing nondominant solution of certain second-order recurrence relations...
Levrie P. : J. Computational & Appl. Math. 32 (1990), No.1-2, 159-167. xxvi
On the relationship between generalised continued fractions and G-continued fractions.
Levrie P. : Appl. Numer. Math. 7 (1991), No.6, 481-492. xxiii
Convergence acceleration for n-fractions.
Levrie P. : Appl. Numer. Math. 8 (1991), No.3, 225-242. xxiii
G-continued fractions and convergence aceleration inthe solution of third-order linear...
Levrie P. : J. Computational & Appl. Math. 51 (1994), No.1, 85-97. xxvi
Some identities for G-continued fractions and generalized continued fractions.
Levrie P. & Bultheel A. : J. Computational & Appl. Math. 24 (1988), No.3, 403-409. xxvi
A note on two convergence acceleration methods for ordinary continued fractions.
Levrie P. & Bultheel A. : SIAM J. Math. Anal. 27 (1990), No.1, 166-177. lxxxvii / cxviii
Convergence acceleration for the numerical solution of second order linear recurrence relations.
Levrie P. & Bultheel A. : Numerical Algorithms 4 (1993), No.3, 225-239. xcviii
A note on Thiele n-fractions.
Levrie P. & Jacobsen L. : Trans. Amer. Math. Soc. 305 No.1 (1988), 263-275. xvi
Convergence acceleration for genelalized continued fractions.
Levy H. & Lessman F. : 1959 S. Isaacs Pitman and Sons. O
Finite Difference Equations.
Lévy P. : Rend. Circ. Mat. Palermo 1 (1952), 170-208. lxi
Fractions continues aléatoires.
Lewanowicz S. : Math. Of Comput 63 (1994), 741-745. #170
A somple approach to the summation of certain slowly convergent series.
Lewanowicz S. : J. Comput & Appl. Math. 121 (2000), 297-312. #166
Recursion formula for basic hypergeometric functions.
Lewis D. J. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 52-53. O
Brief Recollections of Heilbronn.
Lewanowicz S. : Math. of Comput. 63 (1994), 741-745. #178
A simple approach to the summation of certain slowly convergent series.
Lewanowick S. & Paszkowski S. : Math. Comput. 64 (1995), No.210, 691-713. cxxvii
An analytic method for convergence acceleration of certain hypergeometric series.
Lewin L. : MacDoanld 1958, UMI-Bell&Howell 2001. F
Dilogarithms and Associated Functions.
Lewin L. : J. Australian Math. Soc. Ser. A : 33 (1982), 302-330. vii
The Dilogarithm in Algebraic Fields.
Lewin L. : J. Number Theory 19 (1984), 345-373. #171
The inner structure of the dilogarithm in algebraic field.
Lewin L. : Aequationes Math. 30 (1986), 1-20. #171
The order-independence of the polylogarithmic ladder structure-implications for a new category of functional equations.
Lewis R. P. : Amer. Math. Monthly 91 (1984), No.7, 420-423. Ó
A combinatorial proof of the triple product identity.
Lewis R. P. : Bull. London Math. Soc. 23 (1991), 417-421. #169
On the ranks of partitions modulo 9.
Lewis R. & Liu Z. -G. : The Ramanujan Journal 3 (1999), No.3, September, 335-338. O
On two identities of Ramanujan.
Lewis R. & Liu Z. -G. : The Ramanujan Journal 4 (2000), No.4, December, 347-352. O
A Conjecture of Hirschhorn on the 4-Dissection of Ramanujan´s Continued Fraction.
Lewittes J. : Trans. Amer. Math. Soc. 159 (1971), 505-509. lxxx
Analytic continuation of the series S(m+nz)^(-3).
Lewittes J. : Trans. Amer. Math. Soc. 171 (1972), 469-490. lix
Analytic continuation of Eisenstein series.
Lewittes J. : D. V. Chudnovsky... (eds.) : Number Theory New York Sem. 1989-1990, Springer (1991), 203-210. O
On certain q-polynomials.
Li H. Ch. : The Fibonacci Quaterly 37 (1999), No.1, February, 77-84. O
Fibonacci Primitive Roots and Wall´s Question.
Li H. Ch. : The Fibonacci Quarterly 37 (1999), No.4, November, 342-349. O
On second-order linear recurrence sequences : Wall and Wyler revisited.
Li J. L. : J. Math. Anal. & Appl. 250 (2000), No.2, October, 722-725. #167
Notes on an inequality involving the constant e.
Li J.S. & Piatetski-Shapiro I. & Sarnak P. : Proc. Indian Acad.Sci. (Math. Sci.), 97 (1987), 231-237. O
Poincaré series for SO(n,1).
Li J. S. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 215-229. O
On the trace of Hecke operators for Maass forms.
Li X. : Proc. O. F., M. T. & C. F. V, Brazil 1996, Dekker LNPAM 199 (1998), 327-341. O
Separation theorem of Chebyshev-Markov-Stieltjes type for Laurent polynomials orthogonal on (0,inf).
Li X. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 193-204. O
Convergence of interpolating Laurent polynomials on an Annulus.
Li Z. G. : Electronic Journal of Combinatorial Number Theory 1 (2001), #A03, 14pp. pdf-pri
Some Theta Functions Identities Associated With The Modular Equations of Degree 5.
Liang J. J. Y. & Todd J. : Research Nat. Bur. Standards 76 (1972), 161-178. cxxviii
The Stieltjes constants.
Liaw W. C. : Thesis University of Illinois at Urbana-Champaign, 1999, viii + 92. T-4-5.
Contributions to Ramanujan´s Theories of Modular Equations, Ramanujan-type Series for 1/pi and Partitions.
Liaw W. -C. : The Ramanujan Journal 3 (1999), No.4, December, 385-388. O
Note on the Monotonicity of Coefficients for Some q-Series Arising from Ramanujan´s Lost Notebook.
Lieman D. B. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 83-92. O
The GL (2) Rankin-Selberg convolution for higher level non-cuspidal forms.
Ligozat G. : Bull. Soc. Math. France 43 (1972), 1-80. #168
Courbes modulaires de genre 1.
Lilly G. M. & Milne S. C. : Construc. Approx. 9 (1993), No.4, 473-500. cxxxii
The C1 Bailey transform and Bailey lemma.
Lin S. S. & Lin F. C. : Comput. Math. Appl. 21 (1991), No.2-3, 1-6. lxxxvi
An O(log n) algorithm for computing periodic continued fractions anf its applications.
Lindelöf E. : Chelsea Publ. Co. N.Y. . O
Le Calcul des Residues et ses Applications a la Theorie de Fonctions.
Lindemann F. : (1882). Pi : A source book, 194-206.
Ueber die Zahl Pi.
Lindhurst S. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 231-242. O
An analysis of Shanks´s algorithm for computing square roots in finite fields.
Lindskog G. : BIT 22 (1982), 519-527. lxvii
The continued fraction methods for the solution of systems of linear equations.
Lindvall T. : Ann. Probab. 19 (1991), No.3, 929-934. xxiii
W. Doeblin 1915-1940.
Linés E. : Rev. Soc. Mat. Esp. 4 (1914), 138-143. lix
Sobre fracciones continuas ordinarias.
Ling C. B. : SIAM j. Math. Anal. 5 (1974), 551-562. lxxxiv
On summation of series of hyperbolic functions.
Ling C. B. : SIAM J. Math. Anal. 6 (1975), 129-139. lxxxiv
On summation of series of hyperbolic functions II.
Ling C. B. : SIAM J. Math. Anal. 9 (1978), 34-48. v
Generalizations of certain summations due to Ramanujan.
Liouville J. : J. Math. Pures et Appl. (1) 16 (1851), 133-142. lxiii
Sur des classes très-étendues de quantités dont la valeur n´est ni algébrique, ni même reductible à des ...
Lipshitz L. & Rubel L.A. : Number Theory New York Seminar 1989-1990, Springer (1991), 211-214. O
A gap theorem for differentially algebraic power series.
Lipson J. D. : Addison-Wesley Publishing Co. 1981. O
Elements of Algebra and Algebraic Computing.
Lisonek P. & Paule P. & Strehl V. : J. Symbolic Comp. 16 (1993), 243-258. lxxiii
Improvement of the degree setting in Gosper´s algorithm.
Littauer S. B. : MIT 1929. O
A New Tauberian Theorem with Applications to the Summability of Fourier Series.
Little D. P. : Séminaire Lotharingien de Combinatoire 42 (1998), B42h, 10pp. F.ps
An Extension of Franklin´s Bijection.
Littlewood D. E. & Richardson A. R. : Quart. J. Math. (Oxford) 6 (1935), 184-198. cxliii
Some special S-functions and q-series.
Littlewood J. E. : ???. cxxvii
Sur la distribution des nombres premiers.
Littlewood J. E. : Math. Gaz. 14 (1929), 425-428. lii
Review of " Collected Papers of Srinivasa Ramanujan. ".
Liu S. S. & Liu F. C. : Computer & Math. Appl. 21 (1991), No.2-3, 1-6. cxi
An O(log n ) algorithm for computing periodic continued fractions and its applications.
Liu M-Ch. & Wang T. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 243-264. O
On the equation a1p1 + a2p2 + a3p3 = b with prime variables in arithmetic progressions.
Liu Z-G. : The Ramanujan Journal 4 (2000), No.1, March, 43-50. O
The Borwein´s Cubic Theta Function Identity and Some Cubic Modular Identities of Ramanujan.
Liu Z. G. : J. Number Theory 83 (2000), No.1, 59-75. #164
On certain identities of Ramanujan.
Liu Z. G. : J. Number Theory 85 (2000), No.2, December, 231-252. #167
Some Eisenstein Series Identities.
Liu Z. G. : The Ramanujan Journal 5 (2001), No.2, June, 129-151. O
Residue Theorem and Theta Function Identities.
Ljunggren W. : Pacific J. Math. 14 (1964), 585-596. #149
On the Diophantine equation Cx^2 + D = y^n.
Loeb D. E. : Adv. in Math. 86 (1991), 155-234. cxl
The iterated logarithmic algebra. I :
Loeb D. E. : J. Math. Anal. & Appl. 156 (1991), 172-183. cxxxix
The iterated logarithmic algebra II : Sheffer sequences.
Loeb D. E. & Rota G.-C. : Adv. in Math. 75 (1989), 1-118. cxxxv
Formal power series of logarithmic type.
Loiseau J. F. & Codaccioni J. P. & Caboz R. : Math. Comput. 50 (1988), No.182, 501-512. cxxix
Hyperelliptic integrals and multiple hypergeometric series.
Loiseau J. F. & Codaccioni J. P. & Caboz R. : Math. Comput. 53 (1989), No.187, 335-342. cxxix
Incomplete hyperelliptic integrals and hypergeometric series.
Loney S. L. : 5th ed. & 1st ed., Cambridge University Press, 1938/1931. O
Plane Trigonometry Part I and Part II.
Lopes G. L. : Math. USSR Sbornik 39 (1981), 281-288. #170
On the convergence of Padé approximants for Stieltjes type functions.
Lopes G. L. : Math. USSR Sbornik 56 (1985), 207-219. #170/#178
On the asymptotics of the ratio of orthogonal polynomials and convergence of multipoint Padé approximants.
Lopes G. L. : Math. USSR Sbornik 64 (1989), No.1, 207-227. lxxxiv
Convergence of Padé approx. for meromorphic funct. of Stieltjes type and comparative asympt. for orthog. polynom.
Lord N. : Math. Gazette 76 (1992), 231-242. lxxxii / lxxxiv
Recent calculations of Pi : The Gauss-Salamin algorithm.
Lorentzen L. : J. Computational & Appl. Math. 32 (1990), No.1-2, 169-178. xxii / xxvi
Composition of contractions.
Lorentzen L. : J. Computational & Appl. Math. 40 (1992), No.3, 297-304. xxvi
Bestness of the parabola theorem for continued fractions.
Lorentzen L. : Num. Math. 61 No.4 (1992), 489-499. xv
Arithmetics operations with regular C-fractions.
Lorentzen L. : J. Computational & Appl. Math. 47 (1993), No.1, 123-133. xxvi
A note on separate convergence for continued fractions.
Lorentzen L. : Rocky Mountain J. Math. 23 No.2 (1993), 683-706. xiv
Analytic continuation of functions given by continued fractions. revisited.
Lorentzen L. : Proc. Edinburg Math. Soc. (2) 37 (1993), No.1, 39-46. xcviii
The clousure of convergence sets for continued fractions are convergence sets.
Lorentzen L. : Math. Comp. 62 No.206 (1994), 671-686. xv
Divergence of continued fractions related to hypergeometric series.
Lorentzen L. : J. Math. Anal. & Appl. 185 (1994), No.2, 229-255. xcix / cxvii
Properties of limit sets and convergence of continued fractions.
Lorentzen L. : Proc. Continued Fractions & O. F. IV Norway 1992, Dekker LNPAM 154 (1994), 281-304. O
A convergence property for sequences of linear fractional transformations.
Lorentzen L. : Proc. Continued Fractions & O. F. IV Norway 1992, Dekker LNPAM 154 (1994), 305-344. O
Circular twin value sets for continued fractions and how they imply convergence.
Lorentzen L. : Numerical Algorithms 10 No.1-2 (1995), 69-111. xiv / xxiv / xxxvii
Computation of limit periodic continued fractions. A survey.
Lorentzen L. : J. Math. Anal. Appl. 199 (1996), No.1, 130-137. #152
Continued compositions of linear fractional transformations.
Lorentzen L. : Rocky Mount. J. Math. 27 (1997), No.1, 187-229. #155
Asymptotic behaviour of solutions of three-term Poincaré difference equations.
Lorentzen L. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 205-255. O
Convergence criteria for continued fractions K(An/1) based on value sets.
Lorentzen L. & Ruscheweyh : J. Math. Anal. & Appl. 179 (1993), No.2, 349-370. c / cxvii
Simple convergence sets for continued fractions K(An/1).
Louboutin S. : J. Number Theory 30 No.2 (1988), 166-176. xv
Continued fractions and real quadratic fields.
Louboutin S. : C. R. Acad. Sci. Paris Ser. I Math. 308 (1989), No.17, 511-513. xciii
Une version effective d´un theoreme de A. Schinzel sur les longueurs des periodes de certains developp. en fract. cont.
Louboutin S. & Mollin R.A. : 5º Conf. Canad. Number Theory Assoc. 1996, Gupta... (Eds.), 1999 AMS, 265-280. O
Solutions to x^2 - Dy^2 = Q.
Love E. R. : Proc. London Math. Soc. 69 (1994), 629-672. cxxxvii
Abel summability of certain Legendre series.
Love E. R. & Hunter M. N. : Proc. London Math. Soc. 64 (1992), 579-601. cxxxviii
Expansions in series of Legendre functions.
Lovejoy J. : J. Number Theory 85 (2000), No.2, December, 283-290. #167
Ramanujan type congruences for three colored Frobenius Partitions.
Lovejoy J. : Advances in Mathematics 158 (2001), No.2, March 25, 253-263. m-01
Divisibility and Dsitribution of Partitions into Distinct Parts.
Loxton J. H. : Acta Arithm. 43 (1984), 155-166. lxxxvii / cxviii
Special values of the dilogarithm functions.
Lubkin S. : J. Res. Nat. Bur. Standards 48 (1952), 228-254. xciii
A method of summing infinite series.
Lubinsky D. S. : Constr. Approx. 1 (1985), 349-358. lxiv / cxiii
Padé tables of entire functions of very slow and smooth growth.
Lubinsky D. S. : Numer. Math. 54 (1988), No.1, 33-39. lxxxvii / cxvi
Power series equivalent to rational functions : a shifting-origin Kronecker type theorem and normality of Padé tables.
Luca A. de : Theoretical Comput. Sci. 204 (1998), No.1-2, 75-86. #161
A conjecture on continued fractions.
Luca F. : The Fibonacci Quarterly 37 (1999), No.3, August, 265-268. O
Arithmetic Functions of Fibonacci Numbers.
Lucht L. : Acta Arithm. 70 (1995), No.1, 25-42. cii / cxx
Weighted relationship theorems and Ramanujan expansions.
Lucht L. : Arch. Math. (Basel) 64 (1995), No.2, 121-128. cii / cxix
Ramanujan expansions revisited.
Luckaz T. : Mathematika 44 (1997), No.1, 50-53. cxlviii
On the fractional dimension of sets of continued fractions.
Ludington-Young A. L. : The Fibonacci Quarterly 37 (1999), No.2, May, 145-153. O
Even Ducci-Sequences.
Luke Y. L. : SIAM J. Math. Anal. 1 (1970), 266-281. lviii
Evaluation of the gamma function by menas of Padé approximations.
Luke Y. L. : Applicable Analysis 1 (1971), 65-73. lviii
Rational approximations for the logarithmic derivarive of the gamma function.
Lüneburg H. : 1989 B I . O
Tools and Fundamental Constructions of Combinatorial Mathematics.
Lunnon W. F. : Comp. Math. Research (Cardiff 1986), Inst. Math. Appl. Conf. Ser. N.S. 14, O.U.P. 1988, 41-56. cxi
Multidimensional continued fractions and their applications.
Lupianez F. Gallego : Questions-Answers Gen. Topology 8 (1990), No.2, 457-465. lxxxv
On continued fractions and the Sorgenfrey line.
Lüroth J. : Math. Annalen 21 (1883), 31-42. #162
Ueber eine eindeutige Entwickelung von Zahlen in eine unendliche Reihen.
Madhavan C. E. Veni : J. Indian Institute of Sci., Srinivasa Ramanujan Centenary , Special Issue (1987), 1-2. O
By way of an introduction...
Macdonald I. : Inventiones Mathematicae 15 (1972), 91-143. lxxxvii / cxvi
Affine roots systems and Dedekind´s n-function.
Macdonald I. G. : Proc. on q-series & partitions, March 7-11 1988, IMA Vol. 18, Springer (1989), 73-75. O
An elementary proof of a q-binomial identity.
Macintyre S. S. : J. London Math. Soc. 30 (1955), 310-314. #149
On a problem of Ramanujan.
Maciulis A. : The Ramanujan Journal 3 (1999), No.4, December, 389-404. O
A Non-Uniform Estimate in the Central Limit Theorem for Sequences of Strongly Additive Functions.
MacLeod A. J. : Comput. & Math. Appl. 26 (1993), No.3, 37-44. c
High-accuracy numerical values in the Gauss-Kuzmin continued fraction problem.
MacLeod R. A. : J. Number Theory 14 (1982), 185-227. xxxix2 / cx
Fractional part sums and divisor functions.
MacMahon P. A. : Quart. J. Math. Pure & Appl. 33 (1902), 274-288. lxv
The sums of the powers of the binomial coefficients.
MacRobert T. M. : Proc. Royal Soc. Edinburgh 59 (1939), 49-54. cxlii
Solution in multiple series of a type of generalized hypergeometric equation.
MacRobert T. M. : Quart. J. Math. (Oxford) 13 (1942), 65-68. cxliii
Some integrals involving E-functions and confluent hypergeometric functions.
MacRobert T. M. : Quart. J. Math. (Oxford) 14 (1943), 1-4. cxliii
Associated Legendre functions of the first kind.
MacRobert T. M. : 3rd. Ed. Macmillan and Co. 1950. O
Functions of a Complex Variable.
MacRobert T. M. : Pacific J. Math. 9 (1959), 759-761. cxlii
Multiplication formulae for the E-functions regarded as functions of their parameters.
Madhusudhan H. S. & Mahadeva-Naika M. S. Vasuki K. R. : Hardy-Ramanujan Journal 24 (2001), 3-10.Pp
On Some Ramanujan's P-Q Identities.
Magnus A. : Math. Zeitschr. 78 (1962), 361-374. xiii
Certain continued fractions associated with the Padé table.
Magnus A. : Math. Zeitschr. 80 (1962), 209-216. xiii
Expansions of Power Series into P-fractions.
Magnus A. : Norske Vid. Selsk. Skr. (Trondheim) (1964), No.3, 1-14. lxxxviii
On P-expansions of power series.
Magnus A. : Rocky Mount. J. Math. 4 (1974), 257-260. lxv
P-fractions and the Padé table.
Magnus A. : Proc. Analytic Theory Continued Fractions, Norway 1981, Lect. Notes Math. 932 (1982), 176-193. O
On th structure of the two-point Padé table.
Magnus A. & McCabe J. H. : J. Comp. Appl. Math. 30 (1990), No.1, 81-86. lxxxvii / upv-i1
On a continued fraction for log^2 e(1 + x).
Magnus A. & McCabe J. H. : Comple-Variables Theory Appl. 16 (1991), No.1, 21-25. lxxxv
Continued fractions for phi(z) satisfying phi(z)=phi((az+b)/(cz+d)).
Magnus P. & Waadeland H. : Normat Nordisk Matematisk Tidskrift 46 (1998), No.3, 97-109 & 144. cv-3
Regular continued fractions, Padé tables and P-fractions. A fruitful analogy.
Mahler K. : J. Reine Angew. Math. 166 (1931), 118-136. cxxviii
Zur Approximations du Exponentialfunktion und des Logarithmus. I.
Mahler K. : J. Reine Angew. Math. 166 (1931), 137-150. cxxviii
Zur Approximations du Exponentialfunktion und des Logarithmus. II.
Mahler K. : J. London Math. Soc. 11 (1936), 136-138. #149
Note on hypothesis k of Hardy and Littlewood.
Mahler K. : Mathematics (1953), 30-42. Pi : A source book, 306-318.
On the approximation of Pi.
Mahler K. : Math. Annalen 168 (1967), 200-227. Pi : A source book, 372-399.
Applications of some formulae by Hermite to the approximation of exponentials and logarithms.
Mahler K. : Cambridge Tracts Math. No. 64, Cambridge University Press 1973. O
Introduction to p-adic Numbers and their Functions.
Mahler K. : Lect. Notes. Math. No. 546, Springer Verlag 1976. O
Lectures on Trascendental Numbers.
Mai L. & Ram Murty M. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 335-340. O
The phragmén_lindelöf theorem and modular elliptic curves.
Maillet E. : Gauthier-Villars Paris 1906. O
Introduction a la Théorie des Nombres Transcendants et Propietes Artihmetiques des Fonctions.
Maillet E. : J. Math. Pures Appl. (6) 3 (1907), 299-336. li
Sur les fractions continues arithmetiques et les nombres transcendants.
Maillet E. : J. Ecol. Polytech. (2) 12 (1908), 41-62. xcii
Sur les fractions continues algébriques.
Maillet E. : Bull. Soc. Math. France 46 (1918), 1-9. xxx
Sur certain types des fractions continues arithmetiques.
Maier W. : J. Reine Angew. Math. 156 (1927), 93-148. #163
Potenzreihen Irrationalen Grenzwertes.
Mall J. : Math. Zeit. 45 (1939), 368-376. lvii
Ein satz über konvergenz von kettenbrüchen.
Mallikarjuna-Prasad A. V. & Padmavathamma : Indian J. Pure Appl. Math. 22 (1991), No.11, 913-925. lxxxi3
The Hardy-Ramanujan-Rademacher expansion for C phi (m,m') (n) using Ford circles.
Mallison M. V. : Messenger Math. 55 (1926), 182-188. xviii / ?
Recurring continued fractions.
Mallows C. L. : Amer. Math. Monthly 98 No.1 (1991), 5-20. O
Conway´s Challenge Sequence.
Malm D. E. G. & Subramaniam T. N. : J. of Symbolic Comput. 19 (1995), 293-304. cxxxv
Improvement of the degree setting in Gosper´s algorithm.
Malurkar S. L. : J. Indian Math. Soc. 16 (1925-1926), 130-138. xlvii2 / ?
On the application the Herr Mellin´s integral to some series.
Man Y. K. : J. Symbolic Comp. 16 (1993), 355-376. lxxiii
On computing closed forms for indefinite summations.
Mandell M. & Magnus A. : Math. Zeitsch. 115 (1970), 11-17. lxiii
On the convergence of sequences of linear fractional transformations.
Mandelson J. : The Fibonacci Quarterly 2 (1964), No.2, April, 139-144. O
Amateur interests in the Fibonacci series -- Prime numbers.
Manikarnikamma S. N. : Mathematics Student 18 (1950), 132-135. lxxxiii
Some properties of the series S(n+a)^r x^n / n!.
Mann H. B. & Shanks D. : J. Comb. Theory Ser. A 13 (1972), 131-134. lxiii
A necesary and sufficient condition for primality, and its source.
Manni R. S. : Proc. Symp. Pure Math. 49 part 2, Theta Functions Bowdoin 1987, A.M.S. (1989), 143-150. O
Vector-valued modular forms of weight (g+j-1)/2.
Manning H. P. : 1906 J. Wiley. e-B
Irrational Numbers and their Representation by Sequences and Series.
Manstavicius E. : The Ramanujan Journal 2 (1998), No.1/2, 185-199. O
The Berry-Esseen Bound in the Theory of Random Permutations.
Marafino J. & McDevitt T. J. : Math. Magazine 68 (1995), No.3, 202-208. lxxxv
Convergence of complex continued fractions.
Marchuk G. I. : Applied Mathematics Vol. 2, 1975 Springer Verlag. O
Methods of Numerical Mathematics.
Margalef J. & Outerelo E. : 1993 Editorial Universidad Complutense. O
Introducción a la Topología.
Markett C. : J. Number Theory 48 (1994), 113-132. #150
Triple sums and the Riemann zeta function.
Markov A. A. : Math. Ann. 28 (1887), 586-593. cxxvi
Sur l´ équation différentielle de la série hypergéométrique. I.
Markov A. A. : Math. Ann. 29 (1888), 247-258. cxxvi
Sur l´ équation differentielle de la séries hypergéométrique. II.
Markov A. A. : Math. Annalen 40 (1892), 313-316. cxxviii
Sur la série hypergéometrique.
Markov A. : Acta Math. 19 (1895), 93-104. xiii
Deux démonstrations de la convergence de certaines fractions continues.
Markov A. : Math. Ann. 47 (1896), 579-597. lv
Nouvelles applications des fractions continues.
Markov A. : Duke Math. J. 7 (1940), 85-96. lv
Functions generated by developing power series in continued fractions.
Markushevich A. I. : 1965 / 1966 American Elsevier Publ. Co. Inc. O
Entire Functions.
Marsaglia G. & Marsaglia J. C. W. : Amer. Math. Monthly 97 No.9 (1990), 826-829. O
A New Derivation of Stirling´s Approximation to n! .
Marsdenn J. E. & Hoffman M. J. : 2nd Ed. W. H. Freeman 1974-93/99. O
Elementary Classical Analysis.
Marsdenn J. E. & Hoffman M. J. : 3rd Ed. W. H. Freeman 1973-1987-99. O
Basic Complex Analysis.
Martin W. T. & Reissner E. : 1956-1958 Addison-Wesley. O
Elementary Differential Equations.
Masson D. : Canadian Math. Bull. 28 (4) (1985), 411-421. ix
Convergence and analytic continueation for a class of regular C-fractions.
Masson D. : Canad. Math. Bull. 32 (1989), No.2, 177-181. xxi
Some continued fractions of Ramanujan and Meixner-Pollaczek polynomials.
Masson D. R. : Rocky Mountain J. Math. 21 (1991), No.1, 489-499. xxiii / xxiv
Wilson polynomials and some continued fractions of Ramanujan.
Masson D. R. : Constr. Approx. 7 (1991), No.4, 521-534. xxiii
Associated Wilson polynomials.
Masson D. R. : C. R. Math. Acad. Sci. Soc. Royale Canada 13 (1991), No.4, 167-172. xxiii
A generalization of Ramanujan´s best theorem on continued fractions.
Masson D. R. : Contemporary Mathematics 190 (1995), 287-294. #159
The last hypergeometric continued fracction, mathematical analysis and signal processing.
Matala A. T. : J. Number Theory 45 (1993), No.2, 215-227. xv
On Diophantine approximations of the Rogers-Ramanujan continued fraction.
Matala-Aho T. & Väänänen K. : Bull. Austral. Math. Soc. 58 (1998), 15-31. #158
On approximation measures of q-algorithms.
Matala-Aho T. & Väänänen K. : The Ramanujan Journal 4 (2000), No.1, March, 13-28. O
On Diophantine Approximations of Mock Theta Functions of Third Order.
Mathai A. M. : RamanujanInter. Symp. on Analysis, Pune 1987, ed. N.K. Thakare, Macmillan (1988), 225-240. O
On scalar functions of many matrix variables.
Mathews J. : Amer. Math. Monthly 97 (1990), No.6, 505- 510. O
Gear Trains and Continued Fractions.
Mathieu E. : J. Math. Pures et Appl. (3) 8 (1882), 357-383. cxxix
Sur l´ equation differentielle à laquelle satisfait la fonction F(a,b,c;x) de Gauss.
Matiyasevich Y. V. : Proc. 1ª Conf. Canad. Num. Theo. Ass. (Gruyter 1990), 387-400. O
The Riemann Hypothesis from a logician´s point of view.
Matiyasevich Y. V. & Guy R. K. : Amer. Math. Monthly. 93 ( 1986), 631-635. f
A new formula for Pi.
Matos A. C. : J. Comput. Appl. Math. 32 (1990), No.1-2, 179-190. lxxxvi / upv-i1
Extrapolation algorithms based on the asymptotic expansion of the inverse of error, appl. to c.f.
Matthews K.R. & Walters R.F.C. : Proc. Cambridge Philos. Soc. 67 (1970), 67-74. xl
Some properties of the continued fraction expansion of (m/n)e^1/a.
Matthiessen L. : Arch. der Math. & Phys. (3) 5 (1903), 47-55. cxxxii
Von der periodizität der kettenbrüche, in welche sich irrationale zweiten grades entwickeln lassen.
Mattics L. E. & Dodd W. : Amer. Math. Monthly 93 (1986), No.2, 125-126. Ó
A bound for the number of multiplicative partitions.
Matsuoka Y. : Acta Arithm. 41 (1982), 19-26. xliii3
Generalizations of Ramanujan´s formulae.
Matsuoka Y. : Tokyo J. Math. 5 (1982), 399-403. lxxxiii
On the values of certain Dirichlet series at rational integers.
Maurer G. V. : Volzskii Mat. Sbornik 5 (1966), 211-221. lxxxviii
On the expansion into continued fractions of some limiting cases of Heine functions.
Maunsell F. G. : Proc. London Math. Soc. (2) 30 (1930), 127-132. lvi
Some notes on extended continued fractions.
Mayer D. & Roepstorff G. : Proc. Conf. Ergodic theory and relat. top. II, Georgenthal1986 Tebner,1987, 139-143. cx
On the relaxation time of Gauss´continued fraction transformation.
Mays M. E. : Proc. 1ª Conf. Canad. Num. Theo. Ass. (Gruyter 1990), 401-415. O
Triangular Farey arrays.
McBride E. B. : Springer Trct. Nat. Philo. No. 21, 1971 Springer Verlag. O
Obtaining Generating Functions.
McCabe J. H. : Math. Comp. 28 (1974), No.127, 811-816. lxiv / cxiii
A continued function expansion, with a truncation error estimate for Dawson´s integral.
McCabe J. H. : J. Inst. Math. Appl. 15 (1975), 363-372. viii
A formal extension of the Padé table to include two point Padé quotients.
McCabe J. H. : Math. Comp. 32 (1978), 1303-1305. lxiv / cxiii
A further correspondence property of M-fractions.
McCabe J. H. : Math. Comp. 41 (1983), 183-197. lxiv / cxiii
The quotient-difference algorithm and the Padé table : An alternative form and a general continued fraction.
McCabe J. H. : Proc. Analytic Theory of Continued Fractions III 1988, Lect. Notes Math. 1406 (1989), 67-75. O
On continued fractions associated with polynomial type Padé approximants, with an application.
McCabe J. H. & Murphy J. A. : J. Inst. Math. & Appl. 17 (1976), 233-247. xxix / cx
Continued fractions wich correpond to power series expansions at two points.
McCarthy P. J. : Tamkang J. Math. 18 (1987), No.1, 123-132. cv
Generating functions of powers of the Ramanujan sum and other even functions.
McCarthy P. J. : Proc. Ramanujan Cent. Inter. Conf., Annamalainagar 1987, Ramanujan Math. Soc. (1988), 21-26. O
Products of arithmetical functions and their generating functions.
McCleary J. : Amer. Math. Monthly 96 (1989), No.5, 410-420. O
How Not Prove Fermat´s Last Theorem. ( Continued Fraction ).
McColm G. L. : The Ramanujan Journal 2 (1998), No.4, 511-519. O
A Splitting Inequality.
McCoy T. L. : Amer. Math. Monthly 93 (1986), No.2, 111-115. Ó
On " Cos F(x) = F(sin x) ".
McIntosh R. J. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 189-196. O
Some Asymptotic formulae for Ramanujan´s mock theta functions.
McIntosh R. J. : J. London Math. Soc. 51 (1995), No.1, 120-136. cxi / cxxi / cxxx
Some Asymptotic formulae for q-hypergeometric series.
McIntosh R. J. : Canadian J. Math. 50 (1998), No.2, 412-425. #165/#175
Asymptotic transformations of q-series.
McIntosh R. J. : The Ramanujan Journal 3 (1999), No.2, June, 205-214. O
Some Asymptotic Formulae for q-Shifted Factorials.
McKay J. & Strauss H. : Comm. in Algebra 18 (1990), No.1, 253-278. cxxxii
The q-series of monstrous moonshine and the decomposition of the head characters.
McKinney T. E. : Amer. J. Math. 29 (1907), 213-278. xliv
Concerning a certain type of continued fractions depending on a variable parameter.
McNabb Sister Mary de Sales : The Fibonacci Quarterly 1 (1963), No.4, December, 57-60 & 71. O
Phyllotaxis.
McNeish H. F. : 2nd Ed. 1950/1952 W. M. C. Brown Co. Publishers. O
Algebraic Technique of Integration.
Meavilla V. : Prensas Universitarias Zaragoza. O
201 Problemas Resueltos de Matemática Discreta.
.
Mehrotra B. M. : J. Indian Math. Soc. 1 (1934), 209-227. cxxv
A brief history of self-reciprocal functions.
Meignen P. : C. R. Acad. Sci. Ser. I Math. 322 (1996), No.3 (Feb 1), 207-210. xxiii
Cliffordian continued fractions.
Melham R. : The Fibonacci Quarterly 37 (1999), No.2, May, 106-110. O
Generalizations of some Identities of Long.
Melham R. S. : The Fibonacci Quarterly 37 (1999), No.2, May, 111-116. O
Lucas Sequences and Functions of a 3-by-3 Matrix.
Melham R. S. : The Fibonacci Quarterly 37 (1999), No.3, August, 208-212. O
Lambert Series and Elliptic Functions and certain Reciprocal Sums.
Melham R. S. : The Fibonacci Quarterly 37 (1999), No.3, August, 248-253. O
Sums of certain Products of Fibonacci and Lucas Numbers.
Melham R. S. : The Fibonacci Quaterly 37 (1999), No.3, August, 269-276. O
Lucas Sequences and Functions of a 4-by-4 Matrix.
Melham R. S. : The Fibonacci Quarterly 37 (1999), No.4, November, 305-311. O
Some analogs of the identity Fn^2 + Fn+1^2 = F2n+1.
Melham R. S. : The Fibonacci Quarterly 37 (1999), No.4, November, 315-319. O
Families of identities involving sums of powers of the Fibonacci and Lucas numbers.
Mellin Hj. : Math. Annalen 68 (1910), 305-337. cxxviii
Abriss einer einheitlichen theorie der Gamma und Hypergeometrischen funktionen.
Mencía J. : Cooperativa Universidad San Jordi, 2000. O
Analisis de Fourier y sus Aplicaciones.
Mendès France M. : Acta Arith. 23 (1973), 207-215. xxviii
Sur les fractions continues limitées.
Mendès France M. : Sem. Theorie Nombres Bordeaux (2) 1 (1989), No.1, 157-162. xciii
Sur certain produits infinits.
Mendès France M. : Enseign. Math. (2) 39 (1993), No.3-4, 249-257. xxiii
Remarks and problems on infinite and periodic continued fractions.
Mendes-France M. & Van der Poorten A. J. : Theoret. Comput. Sci. 65 (1989), No.2, 213-220. xli / upv-f1
From geometry to Euler identities.
Mendès France M. & Van der Poorten A. J. : Mathematika 38 (1991), 1-9. xxiii
Some explicit continued fractions expansions.
Menon P. K. : Mathematics Student 29 (1961), 77-80. #168
Some series involving zea functions.
Menon P. K. : J. London Math. Soc. 40 (1965), 49-54. lii
On Ramanujan´s continued fraction and related identities.
Mercier A. : Amer. Math. Monthly 91 (1984), No.3, 205-206. Ó
A Sum Involving the Zeta Function , Problem [ 1982, 602 ], Solution by G. Georghiou.
Mercier A. : Amer. Math. Monthly 94 (1987), No.4, 378-380. O
A hypergeometric identity, Problem E 3065 [ 1984, 649 ], Solution.
Mercier A. : Amer. Math. Monthly 97 (1990), No.6, 503-505. O
Relations Between omega(n) and Omega(n).
Merkes E. P. : Michigan Math. J. : 6 (1959), 395-400. lix
Bounded J-fractions and univalence.
Merkes E. P. : SIAM J. Numer. Anal. 3 (1966), No.3, 486-496. xxviii
On truncation errors for continued fraction computations.
Merkes E. P. : Ann. Univ. Mariae Curie Sklodowska Sect. A, Math. 36/37 (1982/1983), 115-122. (1985). xcviii
Starlike continued fractions and zeros of polynomials.
Merkes E. P. & Scott W. T. : Michigan Math. J. 7 (1960), 23-29. vi & xxx
Periodic and reverse periodic continued fractions.
Merkes E. P. & Scott W. T. : Pacific J. Math. 10 (1960), 1361-1369. lxxxiii
On univalence of a continued fraction.
Merkes E. P. & Scott W. T. : J. Math. Anal. Appl. 4 (1962), 309-327. lxxi
Continued fraction solutions of the Riccati equation.
Mesirov J. P. & Sweet M. M. : J. Number Theory 27 No.2 (1987), 144-148. xvi
Continued fraction expansions of rational expressions with irreducible denominator in charac.2
Meyer E. : Archiv. der Math. und Phys. (3) 5 (1903), 287-288. lxxx
Ueber eine eigenschaft des Kettenbruches x -1/x- 1/x- .... .
Michael G. : The Fibonacci Quarterly 2 (1964), No.1, February, 57-58. O
A new proof for an old property.
Miesner W. & Wirsing E. : ???. cxxxi
On the zeros of Sum(,n+1)^k z^n.
Mignotte M. : Bull. Soc. Math. France Memoires 37 (1974), 121-132. lxxxii / lxxxiv
Approximations rationelles de Pi et quelques autres nombres.
Mignotte M. & Roy Y. : The Ramanujan Journal 1 (1997), No.4, 351-356. O
Lower Bounds for Catalan´s Equation.
Miklosko J. : J. Comp. Appl. Math. 3 (1977), 273-276. lxii2
An Algorithm for calculating continued fractions.
Mikolás M. : Acta Scientarum Mathematicarum (Szeged) 13 (1949), 93-117. cxxxvi
Farey series and their connection with the prime number problem, I.
Mikolás M. : Acta Scientarum Mathematicarum (Szeged) 14 (1951), 5-21. cxxv
Farey series and their connection with the prime number problem, II.
Mikusinski ?? : Ann. Poloni. Math. 1 (1954), 184-194. cxx
Sur la méthode d´approximation de Newton.
Milanovic G. V. : R.V.M. Zahar (ed.) : Approximat. and Comput. ISNM Vol.119, Birkhäuser (1994), 459-475. #170
Summation of series and Gaussian quadratures.
Milewski E. G. : 1998 Research and Educational Association. O
The Complex Variables, Problem Solvers.
Miller W. Jr. : Proc. on q-series & partitions, March 7-11 1988, IMA Vol. 18, Springer (1989), 191-212. O
Symmetry techniques and orthogonality for q-series.
Mills S. (ed.) : Shiva Publishing Ltd. 1982. O
The Collected Letters of Colin MacLaurin.
Mills S. : Arch. Hist. Exact. Sci. 33 (1985), 1-13. xiii
The independent derivations by Euler and MacLaurin of the Euler-MacLaurin summation formula.
Mills W. H. & Robbins D. P. : J. Number Theory 23 (1986), 388-404. xx / lxxvi
Continued fractions for certain algebraic power series.
Mills W. H. & Robbins D. H. & Rumsey H. : Inventiones Math. 66 (1982), 73-87. #172
Proof of the Macdonald conjecture.
Mills W. H. & Robbins D. H. & Rumsey H. : J. Combin. Theory Ser A. 42 (1986), 277-292. #172
Self-complementary totally symmetric plane partitions.
Millson J. J. : Proc. Symp. Pure Math. 49 part 2, Theta Functions Bowdoin 1987, A.M.S. (1989), 129-142. O
Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular f.
Milne S. C. : Pacific J. Math. 91 (1980), 419-430. lxx
A multiple seires transformation of the very well poised 2k+4 phi 2k+4.
Milne S. C. : Adv. in Math. 36 (1980), 169-211. cxi
Hypergeometric series well-poised in SU(n) and a generalization of Biedenharn´s G-functions.
Milne S. C. : Amer. J. Math. 104 (1982), 635-643. cviii
A generalisation of Andrews´s reduction formula for the Rogers-Selberg functions.
Milne S. C. : J. Math. Anal. Appl. 122 (1985), 223-256. lxxv / cxiv
Basic hypergeometric series very-well-poised in U(n).
Milne S. C. : Adv. in Math. 57 (1985), 14-33. #152
A q-analog of the 5F4 (1) summation theorem for hypergeometric series well-poised in SU(n).
Milne S. C. : Adv. in Math. 57 (1985), 34-70. lxxxiv
An elementary proof of the Macdonald identities for Al(1).
Milne S. C. : Adv. in Math. 57 (1985), 71-90. cxxi
A new symmetry related to Su(n) for classical basic hypergeometric series.
Milne S. C. : Adv. in Math. 57 (1985), 71-90. cxi
A new symmetry related to SU(n) for classical basic hypergeometric series.
Milne S. C. : Adv. in Math. 58 (1985), 1-60. cxi
A q-analog of hypergeometric series well-poised in SU(n) and invariant G-functions.
Milne S. C. : J. Math. Anal. Appl. (1986), 263-277. lxxv / cxiv
A U(n) generalization of Ramanujan´s 1phi1 summation.
Milne S. C. : J. Math. Anal. & Appl. 122 (1987), No.1, 223-256. cxxxii
Basic hypergeometric series very well-poised in U(n).
Milne S. C. : Adv. in Math. 72 (1988), No.1, 59-131. cxxiii
A q-analog of the Gauss summation theorem for hypergeometric series in U(n).
Milne S. C. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 473-524. O
Multiple q-series and U(n) generalizations of Ramanujan´s 1phi1 sum.
Milne S. C. : Proc. Symp. Pure Math. 49 part 2, Theta Function Bowdoin 1987, A.M.S. (1989), 323-359. O
The multidimensional 1phi1 sum and Macdonald identities for Al^(1).
Milne S. C. : J. Math. Anal. & Appl. 160 (1991), 446-458. cxxi
A triple product identity for Schur functions.
Milne S. C. : Discrete Math. 99 (1992), 199-246. upv-i-1 / cv-2
Classical partition functions and the U(n+1) Rogers-Selberg identity.
Milne S. C. : Adv. in Math. 99 (1993), No.2, 162-237. cxxxiv / #150
A q-analog of the balanced 3F2 summation theorem for hypergeometric series in U(n).
Milne S. C. : Adv. in Math. 108 (1994), No.1, 1-76. cxxxiii
A q-analog of a Whipple´s transformation for hypergeometric series in U(n).
Milne S. C. : SIAM J. Math. Anal. 25 (1994), 571-595. cxlvii
The Cl Rogers-Selberg idnetity.
Milne S. C. : Proc. Nat. Acad. Sci USA 93 (1996), No.26, 15004-15008 (electronic). #151 / #155
New infinite families of exact sums of squares formulas, Jacobi elliptic function and Ramanujan´s tau function.
Milne S. C. : Adv. in Math. 131 (1997), 93-187. cxlvii
Balanced 3phi2 summation theorems for U(n) basic hypergeometric series.
Milne S. C. : The Ramanujan Journal 6 (2002), No.1, March, 7-149. O
Infinite Families of Exact Sums of Squares Formulas, Jacobi Elliptic Functions, Continued Fractions,and Schur Functions.
Milne S. C. & Bhatnagar G. : Discrete Math. 193 (1998), 235-245. upv-i-1 / cv-2
A characterization of inverse relations.
Milne S. C. & Lilly G. M. : Bull. Amer. Math. Soc. (N.S.) 26 (1992), 258-263. #168
The Al and Cl Bailey transform and lemma.
Milne S. C. & Lilly G. M. : Discrete Math. 139 (1995), 319-346. upv-i-1 / cv-2
Consequences of the Al and Cl Bailey transform and Bailey lemma.
Milne S. C. & Newcomb J. W. : J. Comput. & Appl. Math. 68 (1996), 239-285. upv-i1
U(n) very well poised 10phi9 transformations.
Milne-Thonpson L. M. : Proc. Royal Soc. Edinburgh 51 (1931), 91-96. lxviii
On the operational solution of the homoge. linear equation of finite diff. by generalized continued fractions.
Milne-Thompson L. M. : Proc. Edinburgh Math. Soc. (2) 3 (1932), 189-200. lxvii
A matrix representation of ascending and descending continued fractions.
Milnor J. : L' Enseign. Math. 29 (1983), 281-322. lxxxiii
On polylogarithms, Hurwitz zeta functions, and the Kubert identites.
Milos C. : Indian J. Pure & Appl. Math. 25 (1994), No.11, 1171-1179. xxii
Theorem areolar complex continued fraction absolute convergence.
Mimachi K. : SIAM J. Math. Anal. 19 (1988), 1490-1493. v
A proof of Ramanujan´s identity by use of loop integral.
Min X. & Wenpeng Z. : The Ramanujan Journal 5 (2001), No.3, September, 227-236. O
On the Mean Value of the Square of a Generalized Dedekind Sum.
Minc H. : Proc. Edinburgh Math. Soc. 11 (1959), 223-224. cxxi
A problem in partitions : Enumeration of elements of a given degree in the free commutative entropic groupoid.
Minding F. : Bull. Class Phys.-Math. de l´Acad. Impériale des Sci. de Saint Petersburg 13 (1869), 524-528. xcii-2
Über das Bildungsgesetz der Zähler und Nenner bei Verwandlung der Kettenbrüche in gewöhnlide Brüche.
Minh H.N. & Jacob G. & Petitot M. & Oussous N. E. : Sem. Lotharingien de Combin. 43 (1999), B43e, 29pp. F.ps
Aspects combinatoires des polylogarithmes et des sommes d´Euler-Zagier.
Mirimanoff D. : L´Enseignement Math. 14 (1912), 294-298. cxxxii
Sur un cértain développement en fraction continue.
Mirimanoff D. : L´Enseignement Math. 25 (1926), 111-118. cxxxiv / cxlviii
Les épreuves répétées et la méthode des fractions continues de Markoff.
Mishra A. K. : J. Math. Phys. Sci. 24 (1990), No. 5, 313-318. xxxiv2
On certain basic hypergeomegtric functions and continued fractions.
Mishra R. : Proc. Nat. Symp. Special Function & Appl. Gorakhpur 1986, 146-152. O
A note on a relation between certain q-integral transform.
Mishra S. : Annales del Instituto de Mat. Univ. Nacional Auto. Mexico 29 (1989), 69-86. cxxxiv
Some results involving Bessel functions, generalized hypergeometric series and Fox´s H-function.
Mishra S. : Indian J. Pure & Appl. Math. 21 (1990), No.9, 805-812. cv
Integr. involving Legendre funct., g. hyperg. series and Fox´s H-f. and F-Legendre seris for prod. of g. hyp. series.
Mishra S. : Bull. Calcuta Math. Soc. 83 (1991), No.4, 394-397. cxxxiv
Integr. involving Laguerre poly., hyperg. series and Foz´s H-f. and F.-Laguerre series for products of g. hyp. f.
Mishra S. : Serdica Bulg. Math. Publi. 18 (1992), No.3-4, 248-259. cxxxiv
Integr. involving Bessel poly., Hyperg. series and Fox´s H-f. and Fourier-B. poly. expans. for produc. of g. hyp. f.
Misra K. C. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 85-109. O
Specialized characters for affine Lie algebras and the Rogers-Ramanujan identities.
Mitra S. C. : Bull. Calcuta Math. Soc. 41 (1949), 1-5. cxxv
On certain self-reciprocal functions.
Mitra S. C. : Bull. Calcuta Math. Soc. 41 (1949), 49-52. cxxv
On pairs of functions which are reciprocal in Fourier tranformation.
Mitrinovic D.S. & Pecaric J.E. & Fink A.M. : Classical and new inequal. in analysis. 1993 Kluwer, Chap. 25. lxxix
Continued fractions and Padé approximation method.
Mitrovic D. : Michigan J. Math. 9 (1962), 395-397. lxxxiii
The sings of some constants associated with the Riemann zeta-function.
Mittal A. K. & Gupta A. K. : ??? (1999?) 1-23. www1
Bifurcating Continued Fractions II.
Mkaouar M. : J. Number Theory 80 (2000), No.2, February, 169-173. #167
Sur le developpement en fraction continue des series formelles quadratiques sur F2(x).
Moak D. S. : Aequationes Math. 20 (1980), 278-285. #174
The q-gamma function for q>1.
Moak D. S. : J. Math. Analysis & Appl. 81 (1981), 20-47. lxxxiv
The q-analogue of the Laguerre polynomials.
Moak D. S. : Rocky Mount. J. Math. 14 (1984), 403-413. xciii /xcvii
The q-analogue of Stirling´s formula.
Moebius A. F. : J. Reine Angew. Math. 9 (1832), Nr. 8, (ii), 105-123. xliv
Über eine Besondere Art von Umkehrung der Reihen.
Moebius A. F. : J. Reine Angew. Math. 9 (?). xxxviii / ?
Sur un nouveau mode de réversion des séries. (?).
Mohan B. : Bull. Calcuta Math. Soc. 32 (1940), 125-128. cxxv
A self-reciprocal function in the form of series.
Moiseyev A. I. : U.S.S.R. Comput Math. & Math. Phys. 28 (1988), 1-6. #174
Computation of certain functions related to the Hurwitz zeta-function.
Moivre A. De : London 1730. f
Miscellanea Analytica de Seriebus et Quadraturis.
Moivre A. De : London 1730. f
Miscellaneis Analyticis Supplementum.
Mollin R. A. : C. R. Math. Acad. Sci. Soc. Royal Canada 11 (1989), No.6, 209-213. xxiii
Prime powers in continued fractions related to the class number one problem for real q. f.
Mollin R. A. : Acta Arithmetica 85 (1998), 331-349. #169
Jacobi symbols, ambiguous idelas and continued fractions.
Mollin R. A. : Nieuw Arch. Wiskunde (4) 17 (1999), No.3, 383-405. #164
Continued fractions gems.
Mollin R. A. & Van der Poorten A. J. : Bull. Austral Math. Soc. 51 (1995), No.2, 215-233. xiv
A note on symmetry and ambiguity.
Mollin R. A. & Van der Poorten A. J. : Canadian Math. Bull ?? (1999-2000), ???-???. #169
Continued fractions, Jacobi symbols, and quadratic Diophantine equations.
Mollin R. A. & Williams H. C. : C. R. Math. Acad. Sci. Canada Math. Reports 11 (1989), No.2, 51-56. lxxxi3
Real quadratic fields of class number one and continued fraction period less than six.
Mollin R. A. & Williams H. C. : Acta Arith. 56 (1990), No.1, 55-63. xxiv
Continued fractions of period five and real quadratic fields of class number one.
Mollin R. A. & Williams H. C. : Proc. Japan Acad. Ser. A Math. Sci. 67 (1991), No. 1, 20-25. lxxxii
On a determination of real quadratic fields of class number one and related c.f. p. length less than 25.
Mollin R. A. & Williams H. C. : Sem. Theor. Nombres Bordeaux (2) 4 (1992), No.1, 19-42. xiii
On the period lenght of some special continued fractions.
Mollin R. A. & Williams H. C. : Acta Arith. 61 (1992), No.3, 233-264. xiii
Consecutive powers in continued fractions.
Mollin R.A. & Zhang L.C. : 4º Conf. Canad. Number Theory Assoc. 1994, Dilcher (ed.), 1995 AMS, 245-248. O
A new criterion for the determination of class numbers of real quadratic fields.
Mollin R. & Zhang L. C. : Proc. Japan Acad. Ser. A 69 (1993), 368-371. #178
Orders in quadratic fields II.
Montaldi E. Zucchelli G. : SIAM J. Math. Anal. 23 (1992), No.2, 562-569. cii / cxx
Some formulas of Ramanujan, revisited.
Montessus de Ballore R. de : Bull. Soc. Math. France 30 (1902), 28-36. xxxii
Sur les fractions continues algebriques.
Montessus de Ballore R. de : Rend. Circ. Mat. Palermo 19 (1905), 185-257. xlvi
Sur les fractions continues algebriques.
Montessus de Ballore R. de : Ann. Sci. Ec. Norm. Sup. 25 (1908), 195-198. lxvi
Sur les fractions continues algebriques.
Montessus de Ballore R. de : Bull. Soc. Math. France 37 (1909), 101-108. cxxviii / cxlv
Recherche effective des racines réelles des séries hypergéométriques.
Montessus de Ballore R. de : Acta Math. 32 (1909), 257-281. xxxii
Les fractions continues algebriques.
Montgomery H. L. : Proc. Indian Acad. Sci. (Math. Sci.): Ramanujan... 97 (1987), 239-245. O
Fluctuations in the mean of Euler´s phi function.
Montgomery P. L. : CWI Quarterly 7 (1994), No.4, 337-366. xcvii
A survey of modern integer factorization algorithms.
Moore E. : J. Combin. Theory Ser. A 17 (1974), 78-83. cvi
Generalized Euler-type partition identities.
Moothathu T. S. K. : Ramanujan Inter. Symp. Anal., Pune 1987, ed. N.K. Thakare, Macmillan (1989), 311-322. O
On some bounds for certain special functions.
Mordell L. J. : Proc. Cambridge Philos. Soc. 19 (1917), 117-124. xxxii
On Mr. Ramanujan´s empirical expansions of modular functions.
Mordell L. J. : Proc. London Math. Soc. (2) 20 (1922), 408-416. xxvii
Note on certain modular relations considered by Messrs Ramanujan, Darling and Rogers.
Mordell L. J. : Proc. Cambridge Philos. Soc. 34 (1928), 585-596. xlvii2
Some applications of Fourier series in the analytic theory of numbers.
Mordell L. J. : J. London Math. Soc. 4 (1929), 285-291. xlvii2
Poisson´s summation formula and the Riemann zeta function.
Mordell L. J. : Acta Math. (Stockholm) 61 (1933), 323-360. cxxvii
The definite integral I ((e^ax^2+bx)/(e^2x+d)) dx and the analytic theory of numbers.
Mordell L. J. : J. London Math. Soc. 33 (1958), 368-371. #158
On the evaluation of some multiple series.
Mordell L. J. : Proc. Amer. Math. Soc. 12 (1961), 522-526. #156
Irrational power series I.
Mordell L. J. : Proc. Glasgow Math. Assoc. 5 (1962), 197-200. lxxx
An identity in combinarotial analysis.
Mordell L. J. : Arkiv för Matematik 4 (1962), 455-460. #153
The Diophantine equation 2^n = x^2 + 7.
Mordell L. J. : Acta Arithm. 11 (1965), 181-188. cxl
Irrational power series.
Mordell L. J. : Acta Arithmetica ?? (1965-66-67), ???-???. #163
Irrational Power Series. III
Mordell L. J. : Proc. Amer. Math. Soc. ?? (1965 ó 1966), ???-???. #156
Irrational Power Series III.
Moree P. & Cazaran J. : Expositiones Mathematicae 17 (1999), No.4, 289-311. #164
On a claim of Ramanujan in his first letter to Hardy.
Moree P. & Stewart C. L. : Indag. Math. (N.S.) 1 (1990), No.4, 465-472. ciii
Some Ramanujan-Nagell equations with many solutions.
Moreno C. J. : Illinois J. Math. 18 (1974), 107-114. #165
A necesary and sufficient condition for the Riemann hypothesis for Ramanujan´s zeta function.
Moreno C.J. & Rocha-Caridi A. : Ramanujan Rev. Proc. Cent. Conf. Univ. Illinois (1987), AP (1988), 111-152. O
The exact formula for the weight multiplicities of affine Lie algebras, I.
Morgan A. De : Philos. Mag. (3) 24 (1844), 15-17. xcii
On the reduction of a continued fraction to a series.
Morgenstern M. : SIAM J. Discrete Math. 7 (1994), No.4, 560-570. xcvii
Ramanujan diagrams.
Moritz R. E. : Annals of Math. (2) 4 (1902-1903), 179-184. lxxi
On a general relation of continued fractions.
Morley F. : Proc. London Math. Soc. (1) 34 (1902), 397-402. lii
On the series....
Morrison K. E. : Amer. Math. Monthly 102 No.8 (1995), 716-724. O
Cosine Products, Fourier Transforms, and Random Sums.
Morrison M. A. & Brillhart J. : Math. Comp. 29 (1975), 183-205. lxiv / cxiii
A method of factoring and the factorizartion of F7.
Motta W. & Rachidi M. & Saeki O. : The Fibonacci Quarterly 37 (1999), No.3, August, 223-232. O
On infinite-Generalized Fibonacci Sequences.
Mouline M. & Rachidi M. : The Fibonacci Quarterly 37 (1999), No.1, February, 34-38. O
Application of Markov Chains Properties to r-Generalized Fibonacci Sequences.
Moursund D. G. & Duris Ch. S. : 1967 McGraw-Hill. O
Elementary Theory and Applications of Numerical Analysis.
Muir T. : Trans. Royal Soc. Edinburgh 27 (1872-1876), 467-472. lxxxviii
New general formulae for the transformation of infinite series into continued fractions.
Muir T. : Proc. London Math. Soc. 7 (1876), 112-119. xxvii
On the transformation of Gauss´hypergeometric series into a continued fraction.
Muir T. : Trans. Roy. Soc. Edinburgh 28 Part. 1 (1877), 135-143. xcii
On Eisenstein´s continued fraction.
Muir T. : Mes. Math. 12 (1883), 149-151. lxxxv
On the perimeter of an ellipse.
Munkres J. R. : 2ª ed. 2000 / 2002 Prentice Hall. O
Topología.
Murphy J. A. : J. Inst. Math. Applics. 7 (1971), 138-150. lxv / ?
Certain rational function approximation to (1 + x^2)^(-1 / 2).
Murphy J. A. & O´Donohoe M. R. : J. Inst. Math. Appl. 16 (1975), 57-71. lviii
Some properties of continued fractions with applications in Markov processes.
Murphy J. A. & O´Donohoe M. : J. Comput. & Appl. Math. 4 (1978), 181-190. #174
A two-variable generalization of the Stieltjes-type continued fraction.
Murray J. D. : A.M.S. Vol. 48, 1974-1984 Springer Verlag. O
Asymptotic Analysis.
Murty M. Ram : Proc. Indian Acad. Sci. (Math. Sci.): Ramanujan B.C.V. 97 (1987), 247-250. O
On the supersingular reduction of elliptic curves.
Murty M. Ram : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 269-288. O
The Ramanujan tau-function.
Murty M. Ram : Proc. Ramanujan Cent. Int. Conf. Annamalainagar 1987, Ramanujan Math. Soc. (1988), 45-54. O
Recent developments in elliptic curves.
Murty M. Ram (ed.) : Centre Recher. Math. Univ. Montréal, Proc. & Lect. Notes Vol. 1, A.M.S. (1993), x + 174. O
Theta Functions, from the classical to the modern.
Murty M. Ram : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 263-277. O
The analytic rank of Jo(N)(Q).
Murty M. Ram & Murty V. K & Shorey T. N. : Bull. Soc. Math. France 115 (1987), No.3, 391-395. cii / cxix
Odd values of the Ramanujan tau-function.
Murty V. K. : Number Theory, India (1984), Ed.: K. Alladi, Lect. Notes Math. 1122 (1985), 163-172. O
Fourier coefficients of modular forms.
Murty V. K. : Proc. Ramanujan Cent. Inter. Conf., Annamalainagar 1987, Ramanujan Math. Soc. (1988), 55-66. O
Holomorphy of Artin L-functions.
Murty V. K. : Math. Intell. 15 (1993), No.2, 33-39. O
Ramanujan and Harish-Chandra.
Murty V. K. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 249-261. O
Bounded and finite generation of arithmetic groups.
Murty V. K. & Ramakrishnan D. : Proc. Indian Acad. Sci. (Math. Sci.) 97 (1987), 251-262. O
The Manin-Drinfeld theorem and Ramanujan sums.
Myerson G. : Arch. Math. (Basel) 48 (1987), No.5, 420-425. xcix / cxvii
On semiregular finite continued fractions.
Myerson G. & Van der Poorten A. J. : Amer. Math. Monthly 102 No.8 (1995), 698-705. O
Some Problems Concerning Recurrence Sequences.
Myrberg P. J. : C. R. Acad. Sci. Paris 178 (1924), 370-373. cxxxii
Un Théorème sur les fractions continues.
Myrberg P. J. : C. R. Acad. Sci. Paris 178 (1924), 1785-1788. cxxxii
Quelques applications des fractions continues.
Nagell T. : Arkiv för Matematik 4 (1961), 185-187. #153
The Diopahntine equation x^2 + 7 = 2^n.
Nagle R. K. & Saff E. D. : 1992 Addison-Wesley. O
Fundamentos de Ecuaciones Diferenciales.
Nair R. : Proc. Amer. Math. Soc. 120 (1994), No.4, 1041-1046. c / cxvii
On the metrical theory of continued fractions.
Nair R. : Bull. Austral. Math. Soc. 56 (1997), No.1, 69-79. cxlvi
On the metric theory of the optimal continued fraction expansion.
Nakada H. : Monatsh. Math. 105 (1988), No.2, 131-150. xcvii
On ergodic theory of A. Schmidt´s complex continued fractions over Gaussian field.
Nakada H. : Acta Artihm. 56 (1990), No.4, 279-289. lxxi
The metrical theory of complex continued fractions.
Nambiar K. K. : Applied Math. Letters 9 (1996), No.5, 11-15. cxxxiv
A graphic illustration of Rogers-Ramanujan identities.
Namias V. : Amer. Math. Monthly 93 (1986), No.1, 25-29. Ó
A simple derivation of Stirling´s asymptotic series.
Nanjundiah T. S. : Proc. Indian Acad. Sci. Ser. A 34 (1951), 215-228. xxxiv2
Certain summations due to Ramanujan, and their generalisations.
Nanjundiah T. S. : Amer. Math. Monthly 100 (1993), No.5, 485-487. O
A Note on an Identity of Ramanujan.
Naraniengar S. : Math. Student 3 (1935), 111-119. xxxvi
V. Ramaswami Aiyar, The founder of the Society.
Narasimha K. Murthy Rao : Mathematics Student 28 (1960), 41-43. #153
Remarks on a series of Ramanujan.
Narasimham R. & Nievergelt Y. : 2nd ed. 2001 Birkhäuser O.
Complex Analysis in One Variable.
Narayan S. : 1945-1955. S Chaud & Co. Delhi. O
A Course of Mathematical Analysis.
Narayan S. : 1956 S. Chaud & Co. Delhi. O
Theory of Functions of a Complex Variable.
Narayanan S. : Math. Student 9 (1941), 36. xxxvi
Tributes and reminiscences.
Narkiewicz W. : Mono. Matem. 62, PWN Wasrzawa 1986. O
Classical Problems in Number Theory.
Narkiewicz W. : Springer Verlag, 2000. O
The Development of Prime Number Theory.
Nassrallah B. & Rahman R. : Trans. Amer. Math. Soc. 268 (1981), 211-229. lxx
on the q-analogues of some transformations of nearly-poised hypergeometric series.
Nassrallah B. & Rahman R. : Rocky Mountain J. Math. 16 (1986), 63-82. cxxiii
A q-analogue of Appell´s F1-funct. and some quadratic transf. formulas for non-terminating basic hyperg. series.
Natanson I. P. : 1955/1960 F. Ungar Publishing Co. N.Y. O
Theory of Functions of a Real Variable. Volume 1.
Natanson I. P. : 1955/1960 F. Ungar Publishing Co. N.Y. O
Theory of Functions of a Real Variable. Volume 2.
Natarajan P. N. : The Ramanujan Journal 4 (2000), No.4, December, 429-433. O
On a Conservative Non-Regular Nörlung and Weighted Means in Non-Archimedean Fields.
Nathan J. A. : Amer. Math. Monthly 105 (1998), No.8, 762-764. #154
The irrationality of e^x, for nonzero rational x.
Nathanson M. B. : The Ramanujan Journal 4 (2000), No.1, March, 59-67. O
N-graphs, Modular Sidon and Sum-free Sets, and Partition Identities.
Nathanson M. B. : Springer Verlag, 2000. O
Elementary Methods in Number Theory.
Naux Ch. : Blanchard Paris 1966. O
Histoire des Logarithmes : De Neper a Euler, Tome I : La découvert des logarithmes.
Navot I. : IMA J. Numer. Anal. 7 (1987), 335-353. cvii / #161
An Euler-MacLaurin transformation of a slowly convergent series with an application to Fourier coeffic. evaluat.
Needham T. : Clarendon Press Oxford University Press 1997-2000. O
Visual Complex Analysis.
Negoescu N. : C. R. Acad. Sci. Paris A 278 (1971), 689-692. cxxxvi
Un théorème de convergence pour les fractions continues non conmutatives.
Nehari Z. : International Series in Pure and Applied Mathematics, 1952 McGraw-Hill. O
Conformal Mapping.
Nehari Z. : 1961 Allyn and Bacon Inc. Boston. O
Introduction to Complex Analysis.
Nelsen R. B. : Amer. Math. Monthly 94 (1987), No.4, 376-377. O
A versatile identity. Problem E 3062 [ 1984, 580 ], Solution.
Nemes I. & Petrovsek M. : J. Symbolic Computation 20 (1995), 745-753. #167
Rcomp : A Mathematica Package for Computing with Recursive Sequences.
Nemes I. & Petkovsek M. & Wilf H. & Zeilberger D. : Amer. Math. Monthly 104 (1997), 505-519. cxxxvii
How to do Monthly problems with your computer.
Nemeth G. : Mathematical Notes 21 (1977), 325-328. cxxviii / ?
Relative rational approximation of the function e^x.
Nesterenko Yu. V. : C. R. Acad. Sci. Paris Ser. I Math. 322 (1996), 909-914. #149
Modular functions and transcendence problems.
Nesterenko Yu. V. : Sbornik Math. 187 (1996), No.9, 65-96. #151
Modular functions and transcendence questions.
Nesterenko Yu. V. : Sbornik Math. 187 (1996), No.9-10, 1319-1348. #151
Modular functions and transcendence problems.
Nesterenko Yu. V. : Mathematical Notes 59 (1996), No.5-6, 625-636. cxlvii
Some remarks on zeta(3).
Nettler G. : Math. Student 41 (1973), No.4, 339-348. #156
On transcendental nimbers whose sum, difference, quotient and product are transcendental numbers.
Nettler G. : J. Number Theory 13 (1981), 456-462. cxxxv
Transcendental continued fractions.
Netto E. : J. Reine Angew. Math. 125 (1902), 34-63. xlix
Ueber näherunswerthe und kettenbrüche.
Nevanlinna R. & Paatero V. : Addison-Wesly 1969. O
Introduction to Complex Analysis.
Neville E. H. : Math. Gaz. 17 (1933), 200-???. lii / ?
Continued fractions and series.
Neville E. H. : J. Indian Math. Soc. 20 (1934), 87-120. lii / ?
Iterative interpolation.
Neville E. H. : 1950 Royal Society Mathematical Tables, Volume 1, Cambridge University Press. O
The Farey Series of Order 1025.
Newman D. J. : Math. Comput. 44 (1985), No.169, 207-210. Pi : A source book, 553-556.
A simple version of the fast algorithms of Brent and Salamin.
Newman M. : Trans. Amer. Math. Soc. 73 (1952), 313-320. #155
Remarks on some modular identities.
Newman M. : Proc. London Math. Soc. (3) 7 (1957), 334-350. lv
Construction and applications of a class of modular functions.
Newman ?? : Canad. J. Math. 10 (1958), 577-586. #151
???.
Newman M. : Proc. London Math. Soc. (3) 9 (1959), 373-387. lv
Construction and applications of a class of modular functions (II).
Newman M. : Proc. Amer. Math. Soc. 11 (1960), 699-702. cxl
Irrational power series.
Newman M. : Trans. Amer. Math. Soc. 97 (1960), 225-236. #158
Periodicity modulo m and divisibility properties of the partition function.
Newman M.: Illinois J. Math. 6 (1962), 59-63. #176
Congruences for the partition function to composite moduli.
Newman M. & Shanks D. : Math. Comput. 42 (1984), No.165, 199-217. Pi : A source book, 462-480.
On a sequence arising in series for Pi.
Newman M. H. A. : Cambridge University Press 1954. O
Elements of Topology of Plane Set of Points.
Ney A. : Mathematica (4) 27 (1962), 77-106. cxxxvi
Contribution à l´étude de la rapidité de convergence des séries à termes positifs.
Ney A. : Stud. Cercetarii Mat. 22 (1970), 631-640. cxxxvi
A study of convergent or divergent numerical series with positive terms.
Nguyen T. Hai & Marichev O. I. & Srivastava H. M. : J. Math. Anal. & Appl. 164 (1992), No.1, 104-115. cxxvii
A note on the convergence of certain families of multiple hypergeometric series.
Niblett J. D. : Pacific J. Math. 2 (1952), 219-225. cxxxviii
Some hypergeometric identities.
Nicholas T. C. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 50-51. O
Brief Recollections of Heilbronn.
Nicolas J. L. : Canad J. Math. 23 (1971), 116-130. cviii
Répartition des nombres hautement compsés de Ramanujan.
Nicolas J. L. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 215-244. O
On highly composite numbers.
Nicolas J. L. & Sárközy A. : The Ramanujan Journal 4 (2000), No.1, March, 29-39. O
On the Asymptotic Behaviour of General Partition Functions.
Niederreiter H. : Monatsh Math. 103 (1987), No.4, 269-288. xcvii
Rational functions with partial quotients of small degree in their continued fraction expansion.
Niederreiter H. : Contrib. to gene. algebra, 5 (Salzburg 1986), Holder-Pichler-Tempsky, Viena 1987, 221-233. cxi
Continued fractions for formal power series, pseudorandom numbers, and linear complexity of sequences.
Niederreiter H. & Vielhaber M. : Appl. Algebra Engineering Comm. Comput. 9 (1998), No.2, 125-138. #14 7-155
Simultaneous shifted continued fraction expansions in quadratic time.
Nielsen N. : Annali di Mat. Pura ed Appl. 9 (1904), 189-210. lxxxv
Recherches sur le carré de la dérivee logarithmique de la fonction gamma et sur quelques fonctions analogues.
Nielsen N. : Annali di Mat. Pura ed Appl. 9 (1904), 219-217. lxxxv
Recherches sur des généralisations d´une fonction de Legendre et d´Abel.
Nielsen N. : Atti Reale Acad. Lincei, Rendiconti (5) 15 (1906), 98-104. xlviii
Sur le développement en fraction continue de la fonction Q de M. Prym.
Nielsen N. : Nieuw Arch. Wiskunde (2) 10 (1912), 223-232. cxxviii
Sur une série de fonctions hypergéométriques.
Nielsen N. : Ann. Scie. L'École Norm. Supér. 3ª Ser. 30 (1913), 121-171. O
Recherches sur le développement d'une fonction analytique en séries des fonctions hypergèom...
Niethammer W. : Numer. Math. 34 (1980), 271-283. xli / lxxvi
Numerical application of Euler´s series transformation and its generalizations.
Niethammer W. & Wietschorke H. : Numer. Math. 44 (1984), 129-137. xxix / cx / cxxiv
On the acceleration of limit periodic continued fractions.
Nishioka K. & Shiokawa I & Tamura J. : J. Number Theory 42 (1992), No.1, 61-87. xli / lxxvi
Arithmetical properties of a certain series.
Niukkanen A. V. : Russian Math. Surveys 43 (1988), No.3, 218-220. cxxix
A new method in the theory of hypergeometric series and of special functions in mathematical physics.
Niven I. : Amer. Math. Monthly 46 (1939), 469-472. #162
The transcendence of Pi.
Niven I. : (1947). Pi : A source book, 509.
A simple proof thar Pi is irrational.
Niven I. : Amer. Math. Monthly 78 (1971), No.3, 272-273. #159
A Proof of the Divergence of Sum 1/p.
Njastad O. : Proc. Analytic Theory of Continued Fractions II 1985, Lect. Notes Math. 1199 (1986), 263-268. O
A multi-point Padé approximation problem.
Njastad O. : J. Approx. Theory 55 (1988), No.2, 119-139. xx / lxxvi
Laurent continued fractions corresponding to pairs of power series.
Njastad O. : Appl. Numer. Math. 4 (1988), No.2-4, 351-360. O
Solution of the strong Hamburger moment problem by Laurent continued fractions.
Njastad O. : Proc. London Math. Soc. (3) (1988), No.1, 78-100. xciv
Asymptotic expansions and contractive Laurent fractions.
Njastad O. : Proc. Analytic Theory of Continued Fractions III 1988, Lect. Notes Math. 1406 (1989), 76-87. O
Multipoint Padé approximants and related continued fractions.
Njastad O. : Proc. Analytic Theory of Continued Fractions III 1988, Lect. Notes Math. 1406 (1989), 88-115. O
A survey of some results on separate convergence of continued fractions.
Njastad O. : J. Approx. Theory 56 (1989), No.2, 134-151. lxxxvii / cxvi
Contractive Laurent fractions and nested discs.
Njastad O. : Proc. Amer. Math. Soc. 110 (1990), No.4, 1003-1007. xciii
Convergence of Schur Algorithm.
Njastad O. : Trans. Amer. Math. Soc. 327 (1991), No.1, 283-311. xcvi
A modified Schur algorithm and an extended Hamburger moment problem.
Njastad O. : Proc. O. F., M. T. & C. F. V, Brazil 1996, Dekker LNPAM 199 (1998), 359-374. O
Remarks on cannonical solutions of strong moment problems.
Njastad O. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 257-275. O
Strong Stieltjes moment problems.
Njastad O. & Waadeland H. : Proc. Anal. T. Contin. Fract. III 1988, Lect. Notes Math. 1406 (1989), 116-123. O
Some remarks on nearness problems for continued fraction expansions.
Njastad O. & Waadeland H. : J. Math. Anal. Appl. 151 (1990), No.2, 379-395. lxxxvi / cxiv
Strongly bounded holomorphic functions and corresponding PC-fractions.
Njastad O. & Waadeland H. : J. Math. Anal. Appl. 159 (1991), No.1, 158-167. xx / cxii
A nearness result for PC-fractions.
Nogueira A. : Israel J. Math. 90 (1995), No.1-3, 373-401. ci / cxvii
The three dimensional Poincare continued fraction algorithm.
Nolte V. N. : Indag Math. 1 (1990), No.3, 381-389. xxi
Some probabilistic results on the convergents of continued fractions.
Norden H. : The Fibonacci Quarterly 2 (1964), No.3, October, 219-222. O
Proportions in music.
Nörlund N. E. : Acta Math. 34 (1911), 1-108. iv1 /xcviii
Fractions continues et différences réciproques.
Nörlund N. E. : Acta Mathematica 43 (1922), 121-196. #173
Mémoire sur les polynome de Bernoulli.
Norton A. : Amer. Math. Monthly 95 No. 7 (1988), 639-643. O
Continued Fractions and Differentiability of Functions.
Noumi M. & Dijkhuizen M.S. & Sugitani T. : Special Funct., q-Series...,Ismail.. (Eds.), A.M.S. 1997, 167-177. O
Multivariable Askey-Wilson Polynomials and Quantum Complex Grassmannians.
Novo S. & Obaya R. & Rojo J. : 1995 McGraw-Hill. O
Ecuaciones y sistemas diferenciales.
Nowak W. G. : The Ramanujan Journal 2 (1998), No.4, 421-440. O
On Differences of Two kth Powers of Integers.
Nuttall J. : J. Math. Anal. & Appl. 31 (1970), 147-153. #174
The convergence of Padé approximants of meromorphic functions.
Nyblom M. A. : The Fibonacci Quaterly 37 (1999), No.1, February, 3-13. O
On a Generalization of the Binomial Theorem.
Nyblom M. A. : The Fibonacci Quarterly 37 (1999), No.4, November, 299-304. O
On irrational valued series involving generalized Fibonacci numbers.
Nyblom M. A. : Journal of Number Theroy 91 (2001), No.1, November, 71-80. m-01
A Theorem on Transcendence of Infinite Series II.
Nymann J. E. & Sáenz R. A. : The Fibonacci Quarterly 37 (1999), No.2, May, 154-161. O
Eulerian Numbers : Inversion Formulas and Congruences Modulo a Prime.
Odlyzko A. M. & Wilf H. S. : Amer. Math. Monthly 95 (1988), No.9, 840-843. O
The Editor´s Corner : n Coins in a Fountain. ( Continued Fractions ).
Ogreid O. M. & Osland P. : Journal of Computational and Applied Mathematics 136 (2001), Issue 1-2, 1 Nov., 389-403.m-01
More series related to the Euler series.
O´Hara K. M. : J. Combin. Theory Ser. A 53 (1990), No.1, 29-52. cxxxii
Unimodality of Gaussian coefficients : a constructive proof.
Okano T. : Tokyo J. Math. 10 (1987), No.1, 151-156. xciv
A note on the transcendental continued fractions.
Okano T. : Tokyo J. Math. 15 (1992), No.1, 129-133. xcvi
A note on the rational approximations to e.
Okano T. : Proc. Japan Acad. Ser. A Math.-Sci. 69 (1993), No.6, 161-163. xcvi
A note on the rational approximations to tanh (1/k).
Okano T. : Proc. Japan Acad. Ser. A Math.-Sci. 70 (1994), No.10, 315-316. xcv / cx
On the rational approximations to tanh (1/k).
Okano T. : Tokyo J. Math. 18 (1995), No.1, 75-80. xcv
On the rational approximations to tanh (1/k).
Olds C. D. : New Math. Lib. No.9, Random House 1963. O
Continued Fractions.
Oliver L. T. & Wilde D. J. : The Fibonacci Quarterly 2 (1964), No.3, October, 169-175. O
Symmetric sequencial minimax search for a maximum.
Ollerenshaw K. & Brée D. : IMA 1998. O
Most-Perfect Pandiagonal Magic Squares : Their Construction and Enumeration.
Olmsted J. M. H. : 1961 Appleton Century Crofts, Meredith Pub. Co. O
Advanced Calculus.
Olver F. W. J. : J. London Math. Soc. 28 (1953), 462-463. cxlii
Note on the asymptotic expansion of generalized hypergeometric series.
Ono K. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 93-105. O
Cogruences on the Fourier coefficients of modular forms on Gamma (0), (N).
Ono K. : J. Reine Angew. Math. 472 (1996), 1-15. #164
Parity of the partition function in arithmetic progressions.
Ono K. : J. Number Theory 57 (1996), 170-180. #174
Congruences for Frobenius Partitions.
Ono K. : Amer. Math. Monthly 104 (1997), No.10, 912-917. #154
Ramanujan, taxicabs, birthdate, zipcodes, and twists.
Ono K. : Trans. Amer. Math. Soc. 350 (1998), 1205-1223. #170
Values of Gaussian hypergeometric series.
Ono K. : The Ramanujan Journal 2 (1998), No.1/2, 45-54. O
The Residue of p(N) Modulo Small Primes.
Ono K. : Mathematische Annalen 312 (1998), 251-260. #165
The partition function in arithmetic progressions.
Ono K. : J. Number Theory 76 (1999), No.1, 62-65. #166
On the circular summation of the eleventh powers of Ramanujan´s tau function.
Ono K. : Annals of Math. 151 (2000), 187-212. #164
Dsitribution of the partition function modulo m.
Ono K. & Penniston D. : J. Combin. Theory Ser. A 92 (2000), No.2, November, 138-157. #167
The L-adic Behaviour of the Nmber of Partitions into Distinct Parts.
Ono K. & Soundararajan K. : Invent. Math. 130 (1997), No.3, 415-454. cxlviii
Ramanujan´s ternary quadratic form.
Ono K. & Soundararajan K. : 5º Conf. Canad. Numb. Theory Assoc. 1996, Gupta... (Eds.), 1999 AMS, 281-290. O
Integers represented by ternary quadratic forms.
Oppenheim A. : Proc. London Math. Soc. (2) 44 (1938), 323-335. xviii
The continued fractions associated with chains of quadratic forms.
Oppenheim A. : Bull. Amer. Math. Soc. 47 (1941), 602-604. #156
Rational approximations to irrationals.
Oppenheim A. : Amer. Math. Monthly 61 (1954), No.4, 235-241. #156
Criteria for irrationality of certain classes of numbers.
Oppenheim A. : Acta Arithmetica 21 (1972), 391-398. #163
The Representation of Real Numbers by Infinite Series of Rationals.
Orfeur H. : Math. Gaz. 18 (1934), 35-39. lii
On recurring continued fractions.
Orr W. Ma. F. : Trans. Cambridge Phil. Soc. 17 (1899), 1-15. xcii
Theorems relating to the product of two hypergeometric series.
Orr W. Ma. F. : Trans. Cambridge Philos. Soc. 17 (1899), 171-199. xcii
On divergent ( or semi-convergent ) hypergeometric series.
Orr W. Ma. F. : Trans. Cambridge Philos. Soc. 17 (1899), 283-290. xcii
On divergent ( or semi-convergent ) hypergeometric series.
Orr W. Ma. F. : Trans. Cambridge Philos. Soc. 19 (1900), 151-155. xcii
On divergent hypergeometric series.
Osler T. J. : SIAM J. Math. Analysis 3 (1972), 1-16. cxxxv
A further extension of the Leibnitz rule to fractional derivatives and its relation to Parseval´s formula.
Osgood C. F. : J. Number Theory 3 (1971), 159-177. #174
On the Diophantine approxmation of values of functions satisfying certain linear q-differential equations.
Osgood C. F. : Proc. Amer. Math. Soc. 3 (1977), 1-7. #151
The Diophantine approximation of certain continued fractions.
Osgood W. F. : Ann. of Math. (2) 3 (1901), 25-34. xlix
Note on functions defined by infinite seires whose terms are analytic functions of a complex...
Osgood W. F. : 3rd ed. Harvard University Press 1897/1936. O
Introduction to Infinite Series.
Osgood W. F. : 1925 / 1928 The Macmillan Co. New York. O
Advanced Calculus.
Osgood W. F. : Hafner Publ. Co. N.Y., 1938/1947. O
Functions of Real Variables.
Ostrowski A : 1968 Scott Foresman. O
Differential and Integral Calculus, with Problems Hints for Solutions and Solutions. Vol. 1.
Overholt M. : Proc. Analytic Theory Continued Fract., Norway 1981, Lect. Notes Math. 932 (1982), 194-205. O
A class of elements and value regions for continued fractions.
Pacelli P. L. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 291-296. O
Some uniformity results following from the Lang conjectures.
Padé H. : Bull. Sci. Math. 12 (1888), 144-148, Oeuvres (1984), 55-59. O
Sur l´irrationalité de e et pi.
Padé H. : Ann. Ec. Norm. Sup. (3) 6 (1889), 348-354, Oeuvres (1984), 60-64. O
Sur les intégrales définies à limites indéfinies.
Padé H. : C. R. Acad. Sci. Paris 111 (1890), 674-676, Oeuvres (1984), 65-66. O
Sur la représentation approchée d´une fonction par des fractions rationelles.
Padé H. : C. R. Acad. Sci. Paris 112 (1891), 712-714, Oeuvres (1984), 67-69. O
Sur les fractions continues régulières relatives à e^x.
Padé H. : C. R. Acad. Sci. Paris 112 (1891), 988-990, Oeuvres (1984), 70-71. O
Sur la convergence des fractions continues simples.
Padé H. : Ann. Ec. Norm. Sup. (3) 9 (1892), Supp. 3-93, Oeuvres (1984), 72-166. O
Sur la représentation approchée d´une fonction par des fractions rationelles.
Padé H. : C. R. Acad. Sci. Paris 116 (1893), 686-687, Oeuvres (1984), 167-168. O
Sur la possibilité de définir une fonction par une série entière divergente.
Padé H. : Acta Math. 18 (1894), 97-111, Oeuvres (1984), 169-183. O
Sue les séries entières convergentes ou divergentes et les fractions continues rationnelles.
Padé H. : J. Math. Pures Et Appl. (4) 10 (1894), 291-329, Oeuvres (1984), 184-222. O
Sur la généralisation des fractions continues algébriques.
Padé H. : C. R. Acad. Sci. Paris 118 (1894), 848-850, Oeuvres (1984), 223-225. O
Sur la généralisation des fractions continues algébriques.
Padé H. : C. R. Acad. Sci. Paris 127 (1898), 444-446, Oeuvres (1984), 226-227. O
Sur la convergence des réduites de la fonction exponentielle.
Padé H. : Nouv. Annales de Math. (3) 17 (1898), 312-314, Oeuvres (1984), 228-229. O
Note sur la formule sin x = x II ( 1 - x^2/n^2pi^2) (n=1..inf.).
Padé H. : Rev. de Math. Spé. 8 (1898), 481-482, Oeuvres (1984), 230. O
Note sur la formule e = lim (m=inf.) ( 1 + 1/m)^m.
Padé H. : Ann. Ec. Norm. Sup. (3) 16 (1899), 395-426, Oeuvres (1984), 231-262. O
Mémoire sur les développ. en fract. continues de la fonct. exp. pouvant servir d´introd. à la théorie des f. c. algebr.
Padé H. : C. R. Acad. Sci. Paris 129 (1899), 753-756, Oeuvres (1984), 263-265. O
Sur la généralisation des développ. en fraction continue, donnée par Gauss et par Euler, de la fonction (1+x)^m.
Padé H. : C. R. Acad. Sci. Paris 129 (1899), 875-879, Oeuvres (1984), 266-269. O
Sur la généralisation des développements en fraction continue, donnés par Lagrange, de la fonction (1+x)^m.
Padé H. : C. R. Acad. Sci. Paris 130 (1900), 102-104, Oeuvres (1984), 270-272. O
Sur la distribution des réduites anormales d´une fonction.
Padé H. : C. R. Acad. Sci Paris 130 (1900), 697-700, Oeuvres (1984), 273-275. O
Sur l´extension des propriétés des réduites d´une fonction aux fractions d´interpolation de Cauchy.
Padé H. : C. R. 2º Congr. Inter. Math. 6-12 août Paris (1900), 257-264 , G.V. (1902), Oeuvres (1984), 276-283. O
Aperçu sur les développements récents de la théorie des fractions continues.
Padé H. : C. R. Acad. Sci. Paris 132 (1901), 754-756, Oeuvres (1984), 284-286. O
Sur l´expresion générale de la fraction rationnelle approchée de (1+x)^m.
Padé H. : C. R. Acad. Sci. Paris 132 (1901), 911-912, Oeuvres (1984), 287-288. O
Sur la fraction continue de Stieltjes.
Padé H. : L´Enseignement Math. 3 (1901), 118-120, Oeuvres (1984), 289-291. O
Note sur un point de la théorie de la fonction exponentielle et des logarithmes.
Padé H. : Ann. Ec. Norm. Sup. 19 (1902), 153-189, Oeuvres (1984), 292-328. O
Recherches nouvelles sur la distribution des fractions rationnelles approchées d´une fonction.
Padé H. : Nouvelles Annales de Math. (4) 3 (1903), 289-297, Oeuvres (1984), 329-337. O
Sur l´herpolhodie.
Padé H. : C. R. Acad. Sci. Paris 139 (1904), 1023-1025, Oeuvres (1984), 338-339. O
Remarques sur une méthode pour l´étude de la convergence de certaines fractions continues.
Padé H. : Rev. Générale des Sci. Pures et Appl. 15 (1904), 761-767, Oeuvres (1984), 340-346. O
Barré de Saint-Venant et les principes de la mécanique.
Padé H. : Procès-verb. de la Soc. des Sc. Phys. et Nat. de Bordeaux (1903-04), 104-105, Oeuvres (1984), 347. O
Sur l´appl. de la méthode d´intégration de Laplace au développ. en fract. continues de la fonction exponentielle.
Padé H. : C. R. Acad. Sci. Paris 141 (1905), 241-243, Oeuvres (1984), 348-349. O
Sur la convergence de la table des réduites d´une fraction rationnelle.
Padé H. : C. R. Acad. Sci. Paris 141 (1905), 708-710, Oeuvres (1984), 350-351. O
Sur les réduites d´une certaine catégorie de fonctions.
Padé H. : C. R. Acad. Sci. Paris 141 (1905), 819-821, Oeuvres (1984), 352-353. O
Sur les développ. en fract. continues de la fonct. F(h,1,l´,u) et la généralisat. de la théorie des fonct. sphériques.
Padé H. : C. R. Acad. Sci. Paris 141 (1905), 997-999, Oeuvres (1984), 354-356. O
Sur la convergence des fractions continues régulières de la fonction F(h,1,h´,u) et de ses dégénérescences.
Padé H. : Procès-verbaux de la Soc. des Sc. Phys. et Nat. Bordeaux (1904-05), 24-25, Oeuvres (1984), 357-358. O
Sur les formules de Sylvester.
Padé H. : Procès-vebaux de la Soc. des Sc. Phys. et Nat. Bordeaux (1904-05), 31-33, Oeuvres (1984), 359-360. O
Sur unpoint de la théorie classique du pendule sphérique.
Padé H. : Nouvelles Annales de Math. (4) 6 (1906), 303-307, Oeuvres (1984), 361-364. O
Sur la propriété de concavité de l´herpolhodie de Poinsot.
Padé H. : Procès-verbaux de la Soc. des Sc. Phys. et Nat. de Bordeaux (1905-06), 75, Oeuvres (1984), 365. O
Sur la propriété de concavité de l´herpolhodie de Poinsot.
Padé H. : Procès-verbaux de la Soc. des Sc. Phys. et Nat. Bordeaux (1906-07), 66-68, Oeuvres (1984), 366-367. O
Sur deux passages du calcul différentiel et intégral d´A. de Morgan.
Padé H. : Procès-verbaux de la Soc. des Sc. Phys. et Nat. Bordeaux (1906-07), 77, Oeuvres (1984), 368. O
Sur une formule remarquable du calcul intégral.
Padé H. : Ann. Ec. Norm. Sup. 24 (1907), 341-400, Oeuvres (1984), 369-428. O
Recherches sur la convergence des développements en fractions continues d´une certaine catégorie de fonctions.
Padé H. : Ann. Ec. Norm. Sup. 24 (1907), 519-534, Oeuvres (1984), 429-444. O
Sur la général. des formules de Sylvester relatives aux fonct. qui se présent dans l´appl. du théorème de Strum...
Padé H. : Nouvelles Annales de Math. (4) 7 (1907), 249-255, Oeuvres (1984), 445-451. O
Sur la réduction en fraction continue canonique de la fonction e^x x^-a INT e^-z z^a-1 dz.
Padé H. : Procès-verbaux de la Soc. Sc. Phys. et Nat. Bordeaux (1907-08), 108-109, Oeuvres (1984), 452-453. O
Sur la règle de Kummer.
Padé H. : Ed. C. Brezinski, Bibliothèque Scientifique, C.N.R.S., Albert Blanchard, (1984), 457 pp. O
Oeuvres.
Padmanabham P. A. : Indian J. Math. 25 (1983), No.2, 175-179. cv
An expansion formula for multiple hypergeometric series.
Page A. : J. London Math. Soc. 7 (1932), 105-112. xlii
A statement by Ramanujan.
Paley R.E.A.C. & Ursell H. D. : Proc. Cambridge Phil. Soc. 26 (1930), 127-144. xviii
Continued fractions in several dimensions.
Palmore J. : Complex Variables Theory & Appl. 26 (1995), No.4, 359-366. xcvii
Shadowing by computable orbits of continued fraction convergents for algebraic numbers.
Palmore J. : Complex Variables Theory & Appl. 32 (1997), No.4, 363-372. #150
Shadowing by computable orbits of continued fraction convergents for algebraic numbers. II.
Pap E. : KTMS Vol. 21Kluwer Academic Publ. 1999. O
Complex Analysis Thoygh Examples and Exercises.
Parameswaran S. : Math. Gazette 76 (1992), 28-36. lxxxii / lxxxiv
Whish´s showroom revisited.
Parameswaran S. : Toils and Triumphs of Srinivasa Ramanujan, W. H. Abdi (Ed.), 1996, 207-218. O
Ramanujan and the additive theory of numbers.
Paris R. B. : Proc.Edinburgh Math. Soc. 24 (1981), 179-195. liv
On a generalisation of a result of Ramanujan connected with the exponential series.
Paris R. B. : Amer. Math. Monthly 94 (1987), No.3, 272-278. O
An Asymptotic Approximation Connected With the Golden Number.
Parker F. D. : The Fibonacci Quarterly 2 (1964), No.1, February, 67-71. O
On the general term of a recursive sequence.
Parkin T. R. & Shanks D. : Math. of Comput. 21 (1967), 466-480. #170
On the distribution of parity in the partition function.
Parthasarathy P. R. & Balakrishnan N. : Appl. Math. Letters 3 (1990), No.4, 13-15. xcvi
A continued fraction approximation of the modified Bessel function.
Parthasarathy P. R. & Balakrishnan N. : Appl. Math. Letters 4 (1991), No.1, 25-27. xcvi
A continued fraction approximation of the modified Bessel function.
Parthasarathy P. R. & Lenin R. B. & Schoutens W. : J. Math. Anal. & Appl. 224 (1998), No.2, 297-315. cxxx
A birth and death process related to the Rogers-Ramanujan continued fraction.
Parusnikov V. I. : Lect. Notes Math. (Rational Approx.), 1237 (1987), 217-227. cxxxi
On the convergence of the multidimensional limit-periodic continued fractions.
Passaquindici M. : Metron Riv. Inter. Stat. 46 (1988), No.1-4, 175-194. xcvi
Interpolation via the continued fraction.
Passaquindici M. : Metron Riv. Inter. Stat. 51 (1993), No.3-4, 189-212. cxxxiv
The hypergeometric series phi (a; b; z ) as e^z.
Pastor J. & Sarasa M. A. : Prensa Universidad de Zaragoza, 1998. O
Criptografia Digital, Fundamentos y Aplicaciones.
Pastro P. I. : J. Math. Anal. Appl. 112 (1985), 517-540. lxxv / cxiv
Orthogonal polynomials and some q-beta integrals of Ramanujan.
Paszkowski S. : Lect. Notes Math. (Rational Approx.), 1237 (1987), 228-238. cxxxi
Quelques généralisations de la représentation de rées par des fractions continues.
Paszkowski S. : Numer. Algorithms 2 (1992), No.2, 155-170. xcviii
Convergence acceleration of continued fractions of Poincare´s type 1.
Paszkowski S. : Numer. Algorithms 10 (1995), No.3-4, 337-361. cxxvii
Quasipower and hypergeometric series : construction and evaluation.
Pathan M. A. : Toils and Triumphs of Srinivasa Ramanujan, W. H. Abdi (Ed.), 1996, 247-264. O
Ramanujan´s work on hypergeometric series and integrals.
Pathan-Yasmeen M. A. : Simon Stevin 61 (1987), No.2, 171-178. cxxxiv
New generating functions for a triple hypergeometric series.
Pathan-Yasmeen M. A. : Demostratio Mathematica 21 (1988), No.1, 11-26. cxxxiv
On generating functions of a general triple hypergeometric series.
Patterson E. M. : University Mathematical Text, 1956/1959 Olivier and Boyd. O
Topology.
Paule P. : J. Math. Anal. Appl. 107 (1985), 255-284. v
On identities of the Rogers-Ramanujan type.
Paule P. : Séminaire Lotharingien de Combinatoire 18 (1987), B18f, 24pp. F.ps
The Concept of Bailey Chains.
Paule P. : J. Combin. Theory Ser. A 44 (1987), 164-167. #172
A note on Bailey's lemma.
Paule P. : Electronic J. Combinatorics 1 (1994), R10, (9pp.). ejc1
Short and easy computer proofs of the Rogers-Ramanujan identities and of identities of similar type.
Paule P. : J. Symbolic Comput. 20 (1995), 235-268. cxi
Greatest factorial factorization and symbolic summation.
Paule P. & Riese A. : Special Functions, q-Series..., M.E.H. Ismail... (Eds.), A.M.S. 1997, 179-210. O
A Mathematica q-Analogue of Zeilberger´s Algor Based on an Algeb. Motivated Approach to q-hyperg. Telescop
Paule P. & Schorn M. : J. Symbolic Comput. ¿¿ (1993), 673-698 ??. cxi / ??
A Mathematica version of Zeilberger´s algorithm for proving binomial coefficient identities.
Paydon J.F. & Wall H.S. : Duke Math. J. 9 (1942), 360-372. iv2 / xi / xxv
The continued fraction as a sequence of linear transformations.
Paysant-Le-Roux R. : Arch. Math. (Basel) 61 (1993), No.1, 46-58. c / cxvii
Periodicite des fractions continues dans un corps de fonctions hyperelliptiques.
Paysant-Le-Roux R. : Astérisque 41-42 (1977), 251-253. #174
Transformation par une fonction homographique d´une fraction continue périodique.
Paysant-Le-Roux R.&Hellegouarch Y.&Gaunet M.L.:C.R.Acad.Sci.Paris Ser. I Math. 316 (1993), N8, 763-68. xcv
Sur certaines fractions continues non standard.
Peano G. : C. R. Acad. Sci. Paris 108 (1889), 960-961. xlviii2
Sur une formula d´approximation pour la rectification de l´ellipse.
Pearce C. E. M. : Adv. Appl. Probability 21 (1989), No.2, 357-375. lxxxvii / upv-i1
Extenden continued fractions, recurrence relations and two-dimensional Markov processes.
Peherstorfer F. & Steinbauer R. : Berndt-Gesztesy (eds.), Contemporary Mathematics 236 (1999), 277-296. O
Weak asymp. of orthog. polyn. on the support of the measure of orthog. and considerat. on funct. of the 2º kind.
Penney D. E. & Pomerance C. : Amer. Math. Monthly 92 (1985), No.10, 729-731. Ó
Multiplicative relations for sums of initial k th powers.
Pennisi L. L. : 1963 Holt, Rinehart and Winston. O
Elements of Complex Variables.
Pérez T. E. & Piñar M. A. : Proc. O.F., M.T. & C.F. V, Brazil 1996, Dekker LNPAM 199 (1998), 375-385. O
Sobolev orthogonality and properties of the generalized Laguerre polynomials.
Perrine S. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 297-310. O
Trees of approximation constants.
Perron O. : S. B. Bayer Akad. Wiss. Math. -Nat. Kl. 35 (1905), 495-503. lxxxviii / xc
Über die konvergenz periodischer kettenbrüche.
Perron O. : Rend. Circ. Mat. Palermo 29 (1910), 119-138.lxi
Über eine specielle klasse von kettenbrüchen.
Perron O. : Math. Ann. 74 (1913), 545-554. lx
Erweiterung eines Markoffschen Sätzes über die konvergenz kettenbrüche.
Perron O. : Math. Zeit. 18 (1923), 157-172. xcvii
Über eine Verallgemeinerung der Eulerschen Reihen-Transformation.
Perron O. : S. B. Bayer. Akad. Wiss. Math. Nat. Kl. 16 (1952), 197-213. O
Über eine formel von Ramanujan.
Perron O. : S. B. Bayer. Akad. Wiss. Math. Nat. Kl. 3 (1953), 21-56. O
Über die Preece´schen Kettenbrüche.
Perron O. : S. B. Bayer. Akad. Wiss. Math. Nat. Kl. 18 (1954), 321-333. O
Neue periodizitätsbeweise für die regelmässigen und halbregelmässigen kettenbrüche... .
Perron O. : S. B. Bayer. Akad. Wiss. Math. Nat. Kl. 1 (1956), 233-236. liv
Über eine schlichtheitsschranke von James S. Thale.
Perron O. : S. B. Bayer. Akad. Wiss. Math. Nat. Kl. 1 (1957), 1-13. O
Über zwei kettenbrüche von H.S. Wall.
Perron O. : S. B. Bayer. Akad. Wiss. Math. Nat. Kl. 3 (1958), 19-23. O
Über einen kettenbrüchen von Ramanujan.
Perron O. : Math. Zeitsch. 70 (1958), 245-249. xxxv
Über zwei ausgeartete Heinesche Reihen und einen Kettenbruch von Ramanujan.
Pestaña-Galvan D. & Rodríguez García J. M. & Marcellan-Español F. : Editorial Sintesis 1999. O
Variable Compleja : Un Curso Practico.
Petek P. : Expositiones Mathematicae 7 (1989), No.4, 369-378. xxi
The continued fraction of a random variable.
Petersen V. : Proc. O. F., M. T. & C. F. V, Brazil 1996, Dekker LNPAM 199 (1998), 387-398. O
A combination of two methods in frequency analysis : The R(N)-process.
Petersen V. : Proc. O. F., M. T. & C. F. V, Brazil 1996, LNPAM 199 (1998), 399-408. O
Zeros of Szegö polynomials used in frequency analysis.
Pethö A. : J. Number Theory 14 (1982), 232-236. v
Simple continued fractions for the Fredholm numbers.
Petkovsek M. : J. Symbolic Comput. 14 (1992), 243-264. cxi
Hypergeometric solutions of linear recurrences with polynomial coefficients.
Petkovsek M. : Discrete Math. 134 (1994), 125-131. lxxv / upv-i1 / cv-2
A generalization of Gosper´s algorithm.
Petridis Y. N. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 297-307. O
Fourier coefficients of cusp forms.
Petrovich M. : C. R. Acad. Sci. Paris 156 (1913), 1823-1825. cxxix
Séries hypergéometriques.
Petrowski I. G. : Prentice-Hall Inc. London 1966. O
Ordinary Differential Equations.
Petruska G. : Indagationes Math. ( N. S. ) 3 (1992), No.3, 353-364. cxxxiv
On the radius of convergence of q-series.
Peyerimhoff A. : J. London Math. Soc. 40 (1965), 260-261. cxxxi
On the modulus of power series of a certain type.
Peyerimhoff A. : Michigan Math. J. : 13 (1966), 193-214. cxxii
On the zeros of power series.
Pfaff J. F. : Nova Acta Acad. Sci. Petropolitanae 11 (1797), 38-57. xcii
Obsevationes analyticae ad L. Euler, Institutiones Calculi Integralis. Vol. iv, supplem. ii et iv, Historia de 1793.
Phillip W. : Monatsch. Math. 105 (1988), 195-206. lxii
Limit theorems for sums of partial quotients of continued fractions.
Phillips E. G. : J. London Math. Soc. 4 (1929), 114-116. xlii
Note on summation of series.
Phillips E. G. : J. London Math. Soc. 4 (1929), 310-313. xlii
Note on a problem of Ramanujan.
Phillips E. G. : Math. Gaz. 15 (1930), 423-???. lii
Note on a continued fraction.
Phillips E. G. : Math. Gaz. 16 (1932), 257-258. lii / ?
On a continued fraction of Stieltjes.
Phillips E. G. : University Math. Text, 1963 Oliver and Boyd. O
Functions of a Complex Variable with Applications.
Phillips E. G. : 1969 Pergamon Press. O
Some Topics in Complex Analysis.
Phillips G. M. : Amer. Math. Monthly 88 (1981),No. 3, 165-169. PI : A source book 15-19.
Archimedes the numerical analyst.
Phillips G. M. : Amer. Math. Monthly 91 (1984), 108-114. cxxviii
Archimedes the Numerical Analyst.
Phillips G. M. : Amer. Math. Monthly 91 (1984), No.6, 354-357. Ó
Aitken Sequences and Fibonacci Numbers.
Phillips G. M. & Taylor P. J. : 1973 Academic Press. O
Theory and Applications of Numerical Analysis.
Phipps Th. E. Jr. : SIAM Rev. 13 (1971), 390-395. liii
A continued fraction representation of eigenvalues.
Piatetski-Shapiro I. I. : Proc. Symp. Pure Math. 49 part 2, Theta Funct. Bowdoin 1987, A.M.S. (1989), 267-276. O
The existence of Maass cusp forms and Kloosterman sums.
Picou G. : Intermediaire des Mathematiciens 7 (1900), 288-304. vi1
Fractions Continues et Nombres Primes.
Pidoll M. von. : Inagural-Dissertation München 1912. O
Beiträge zur Lehre von der Konvergenz undendlicher Kettenbrüche.
Pincherle S. : Atti delle R. Accad. dei Lincei Ser. 4 Vol. 5 (1889), 640-643. xlviii2
Alcuni teoremi sulle frazioni continue.
Pincherle S. : Annali di Matematica Pura ed Appl. Ser. 2 19 (1891), 75-95. lxxvi
Sulla generalizzazione delle frazioni continue algebrique.
Pincherle S. : Giorn. Mat. Battaglini 32 (1894), 209-291. lxxii
Delle funzioni ipergeometriche e di varie questioni ad esse attinenti.
Pinner C.G.&Van der Poorten A.J.&Saradha N.:J.Theor.Nom.Bordeaux 5(1993),n1,187-216. xxiv / xxix / lxxvi
Some infinite products with interesting continued fraction expansions.
Piranian G. & Thron W. J. : Michigan Math. J. 4 (1957), 129-135. xxxv
Convergence properties of sequences of linear fractional transformations.
Pirastu R. : Séminaire Lotharingien de Combinatoire 31 (1993), B31b, 7pp. F.ps
A Note On the Minimal Problem in Indefinite Summation of Rational Functions.
Pirastu R. & Strehl V. : J. Symbolic Comp. 20 (1995), 617-635. lxxiii
Rational summations and Gosper-Petkovsek representation.
Pitt H. R. : Tata Institute of Fundamental Research, Oxford University Press 1958. O
Tauberian Theorems.
Pizer A. K. : Bull. Amer. Math. Soc. (N.S.) 23 (1990), No.1, 127-137. ciii
Ramanujan graphs and Hecke operators.
Plínio De Oliveira Santos J. : Thesis 1991. F
Computer Algebra and Identities of the Rogers-Ramanujan type.
Plínio De Oliveira Santos J. & Mondek P. : The Ramanujan Journal 3 (1999), No.4, December, 359-365. O
Extending Theorems of Göllnitz, A New Family of Partition Identities.
Pochhammer L. : Math. Annalen 35 (1890), 495-526. cxxviii
Zur theorie der Euler´schen Integralen.
Poisson S. D. : J. de l´École Polytechnique 19 (1823), 404-509. xcii-2
Suite du Mémoire sur les intégrales définies et sur la sommation des séries.
Polishchuk A. : The Ramanujan Journal 5 (2001), No.2, June, 111-128. O
M. P. Appell's Function and Vector Bundles of Rank 2 on Elliptic Curves.
Ponnusamy S. & Sabapathy S. : The Ramanujan Journal 1 (1997), No.2, 187-210. O
Geometric Prpperties of Generalized Hypegeometric Functions.
Pontryagin L. S. : 1962 Addison-Wesley. O
Ordinary Differential Equations.
Poole E. G. C. : Quart. J. Math. 6 (1935), 214-216. cxxxiii
On associated hypergeometric series.
Poole E. G. C. : Quart. J. Math. 9 (1938), 230-233. cxxxiii
A transformation of Eulerian hypergeometric integrals.
Popescu C. : Studii Cercetari Matematice Math. Peport 49 (1997), No.1-2, 107-117. cxlviii
Continued fractions with odd partial quotients : An approach in the spirit of Doeblin.
Popoviciu T. : Rev. Roumaine Math. Pures et Appl. 13 (1968), 79-83. cix
Sur les fractions continues de Mikusinski.
Porter M. B. : Ann. of Math. (2) 3 (1901), 55-70. xlix
On the roots of functions connected by a linear recurrent relation of the second order.
Porter M. B. : Ann. of Math. (2) 6 (1904), 45-48. xlix
On functions defined by infinite series whose terms are analytic functions of a complex...
Porter M. B. : Ann. of Math. (2) 6 (1905), 190-192. xlix
Concerning series of analytic functions.
Possé M. C. : St. Petersbourg 1886 Pp. 1-175. lxxxviii
Sur quelques applications des fractions continues.
Post E. L. : Annals of Math. (2) 20 (1919), 202-217. lxxxv
The generalized gamma function.
Potin L. : 1925 Doin & Gauthier-Villars. O
Formules et Tables Numériques.
Powell R. E. & Shah S. M. : Van Nostrand Reinhold 1972. O
Summability Theory and Applications.
Prasad A. V. : J. London Math. Soc. 23 (1948), 169-171. lxxvii
Note on a theorem of Hurwitz.
Prasad D. : CRM Proc. & Lect. Notes Vol. 1, Murty (Ed.) : Theta functions, AMS (1993), 105-127. O
Weil representation, Howe duality and the theta correspondence.
Prasad K. C. : Mathematics Student 50 (1982), No.1-4, 176-180, (1987). xix
A note on asymetric approximations.
Prasad K. C. : J. Indain Math. Soc. (N.S.) 63 (1997), No.1-4, 151-153. cxlvi
A note on inequalities of certain simple continued fractions.
Prasad K. C. & Prasad A. : Indian J. Pure & Appl. Math. 23 (1992), No.1, 1-5. xxii
Some results on asymmetric approximation of irrationals
numbers.
Prasad S. D. : Math. Scand. 27 (1970), 237-244. lxxvii
Certain extended mock theta functions and generalised basic hypergeometric transformations.
Prasolov V. & Solovyev Y. : TMM No. 170, Amer. Math. Soc. 1997. O
Elliptic Functions and Elliptic Integrals.
Preece C. T. : Proc. Cambridge Philos. Soc. 21 (1923), 595-598. cxlii
Dougall´s theorem on hypergeometric functions.
Preece C. T. : Proc. London Math. Soc. Ser. 2ª 22 (1924), 370-380. ix
The product of two generalised hypergeometric series.
Preece C.T. : J. London Math. Soc. 3 Part 3 (1928), 212-216. O
Theorems stated by Ramanujan (I) : Theorems on integrals
Preece C.T. : J. London Math. Soc. 3 Part 4 (1928), 274-282. O
Theorems stated by Ramanujan (III) : Theorems on transformation of series and integrals.
Preece C. T. : J. London Math. Soc. 4 (1929), 34-39. ix
Theorems Stated by Ramanujan (VI) : Theorems on Continued Fractions.
Preece C. T. : J. London Math. Soc. 6 (1931), 22-32. ix
Theorems Stated by Ramanujan (X).
Preece C. T. : J. London Math. Soc. 6 (1931), 95-99. ix
Theorems Stated by Ramanujan (XIII).
Primc M. : Glasnik Mat. Ser. III (54) (1999), No.1, 73-86. #166
Some Crystal Rogers-Ramanujan type identities.
Pringsheim A. : S. B. Bayer Akad. Wiss. Math. -Nat. Kl. 28 (1899), 295-324. lxxxviii / xc
Über die konvergenz unendlicher kettenbrüche.
Pringsheim A. : S. B. Bayer Akad. Wiss. Math. -Nat. Kl. 30 (1900), 463-488. lxxxviii / xc
Über die konvergenz periodischer kettenbrüche.
Pringsheim A. : S. B. Bayer Akad. Wiss. Math. -Nat. Kl. 35 (1905), 359-380. lxxxviii / xc
Über einige konvergenzkreiterien für kettenbrüche mit komplexen gliedern.
Pringsheim A. : S. B. Bayer Akad. Wiss. Math. -Nat. Kl. 49 (1910), Nr.6, . lxxxviii / xc
Über konvergenz und funktionentheoretischen charakter gewisser limitärperiodischer kettenbrüche.
Prym F. E. : J. Reine Angew. Math. 82 (1877), 165-172. #152
Zur theorie der Gammafunction.
Puchta J.-Ch. : The Ramanujan Journal 5 (2001), No.4, December, 405-407. O
On a Criterion for Catalan's Conjecture.
Puttaswamy T. K. : Ramanujan Inter. Symp. Anal., Pune 1987, ed. N. K. Thakare, Macmillan (1989), 449-465. O
Solution in the large of a certain Nth order differential equation.
Qiu S. L. & Vuorinen M. : Nagoya Math. J 154 (1999), 31-56. #169
Landen inequalities for hypergeometric functions.
Qiu S. L. & Vuorinen M. : SIAM J. Math. Anal. 30 (1999), 1057-1075. #169
Infinite products and the normalized quotients of hypergeometric functions.
Raab J. A. : The Fibonacci Quarterly 1 (1963), No.3, October, 21-31. O
A generalization of the connection between the Fibonacci sequence and Pascal´s triangle.
Rabinowitz S. : Amer. Math. Monthly 95 (1988), No.4, 352. O
Problem E 3264. ( continued fractions ).
Rabinowitz S. : Amer. Math. Monthly 97 (1990), No.2, 157-159. O
Sol. Probl. E 3264 Asymptotic Estimates for Convergents of a Continued Fraction.
Rabinowitz S. : Missouri J. Math. Sci. 6 No.1 (1994), 2 - 9. xiv / xxiv / ?
A perplexing finite continued fractions.
Rabinowitz S. : Applications of Fibonacci Numbers, Proc. (Kluwer), Vol. 6 (1996), 389-408. O
Algorithmic Manupilation of Fibonacci Identities.
Rabinowitz S. : The Fibonacci Quarterly 37 (1999), No.2, May, 122-127. O
Algorithmic summation of reciprocals of products of Fibonacci numbers.
Rabinowitz S. : The Fibonacci Quarterly 37 (1999), No.2, May, 162-177. O
Algorithmic Manipulation of Second-Order Linear Recurrences.
Rabinowitz S. & Wagon S. : Amer. Math. Monthly 102 No.3 (1995), 195-203. O
A Spigot Algorithm for the Digits of Pi.
Rademacher H. : Trans. Amer. Math. Soc. 51 (1942), 609-636. lii / liii
The Ramanujan identities under modular substitutions.
Rademacher H. : J. Indian Math. Soc. 21 (1957), 41-55. xxxiii
On the Selberg formula for Ak (n).
Rademacher H. : ed. E. Grosswald, 1974 MIT Press. O
Collected Papers Volume I.
Rademacher H. : ed. E. Grosswald, 1974 MIT Press. O
Collected Papers Volume II.
Rademacher H. & Zuckermann H. S. : Annals of Math. 39 (1938), 433-462. lxxvii
On the Fourier coefficients of certain modular forms of positive dimension.
Rademacher H. & Zuckermann H. S. : Annals of Math. 40 (1939), 473-489. xlvi
A new proof of two of Ramanujan´s identities.
Radin Ch. : Student Math. Library Vol. 1, 1999 American Mathematical Society. O
Miles of Tiles.
Radoux Ch. : Bull Soc. Math. Belgique 27 (1975), No.1, 59-65. #169
Une nouvelle formule de récurrence pour les sommes de Ramanujan.
Radoux Ch. : Bull. Soc. Math. Belgique Ser. B 36 (1984), No.1, 81-85. lxxxv
Fract. continue de Jacobi-Stieltjes pour la fonction generatrice du nombre de parenthesages non commutatifs de...
Raghavan S. : Glasgow Math. J. : 25 (1984), 203-206. lxvii
On Ramanujan and Dirichlet series with Euler products.
Raghavan S. : Quart. J. Math. (1986), 221-229. xviii
On certain identities due to Ramanujan.
Raghavan S. : J. Indian Inst. Sci. 1987 ( Special Issue ), 45-53. xxxiii / O
Impact of Ramanujan´s work on modern mathematics.
Raghavan S. : Proc. Indian Acad. Sci. (Math. Sci.): Ramanujan B.C.V. 97 (1987), 263-276. O
On Ramanujan´s modular identities.
Raghavan S. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 335-345. O
Euler products, modular identities and elliptic integrals in Ramanujan´s manupscripts I.
Raghavan S. & Rangachari S. S. : Number Theory, Bombat (1988), T.I.F.R. - O.U.P. (1989), 119-149. O
On Ramanujan´s elliptic integrals and modular identities.
Rahman M. : Canadian J. Math. 38 (1986), 605-618. #173
An integral representation of a 10phi9 and continuous bi-orthogonal 10phi9 rational functions.
Rahman M. : Ramanujan Inter. Symp. on Analysis, Pune 1987, ed. N.K. Thakare, Macmillan (1989), 117-137. O
Some infinite integrals of q-Bessel functions.
Rahman M : Canadian J. Math. 45 (1993), No.2, 394-411. cxxxi
Some quadratic and cubic summation formulas for basic hypergeometric series.
Rahman M. : The Ramanujan Journal 1 (1997), No.3, 299-308. O
Some Cubic Summation and Trasnformation Formulas.
Rahman M. : The Ramanujan Journal 4 (2000), No.3, September, 251-265. O
A q-Analogue of Weber-Schfheitlin Integral of Bessel Functions.
Rahman M. & Suslov S. K. : SIAM J. Math. Anal. 25 (1994), No.3, 1002-1022. cii / cxx
Barnes and Ramanujan-type integrals on the q-linear lattice.
Rahman M. & Suslov S. K. : J. Statistical Planning & Inference 54 (1996), No.1, 101-118. #150
A unified aproach to the summation and integration formulas for q-hypergeometric functions. I.
Rahman M. & Verma A. : Trans. Amer. Math. Soc. 335 (1995), No.1, 277-302. cxxxiv
Quadratic transformation formulas for basic hypergeometric formulas.
Raina R. K. : Doklady Bolgarskoi Akad. Nauk 41 (1988), No.3, 13-15. cxxxiv
On certain combinatorial multiple-series identities.
Rainville E. D. : Bull. Amer. Math. Soc. 51 (1945), 714-723. cxlii
The continguous function relations for pFq with applications.
Rainville V E. D. & Bedient Ph. E. & Bedient R. E. : 8ª ed. 1998 Prentice-Hall. O
Ecuaciones Diferenciales.
Rajagopal C. T. : J. London Math. Soc. 44 (1969), 1-6. xlii
K. Ananda-Rau.
Rajagopal C. T. & Vendamurthi Aiyar T. V. : Scripta Math. 17 (1951), 65-74. lxxxii
On the Hindu proof of Gregory´s series.
Rajagopalan K. R. : Ganita-Bharati 8 (1986), No.1-4, 16-26. xci
Srinivasa Ramanujan.
Ralston A. & Rabinowitz Ph. : 2ª ed. 1965 / 1978 McGraw-Hill. O
A First Course in Numerical Analysis.
Ram S. : 1971 / 2000 National Book Trust. O
Srinivasa Ramanujan.
Ramachandra K. : J. Indian Math. Soc. 51 (1987), 111-116. xxxvi
An easy transcendence measure for e.
Ramachandra Rao R. Sita & Subbarao M. V. : Pacific J. Math. 113 (1984), 471-479. #163
Transformation formulae for multiple series.
Ramachandra K. : J. Math. Phys. Sci. 21 (1987), No.6, 545-565. xci
Srinivasa Ramanujan (the inventor of the circle method) (22.12.1887 to 26.4.1920).
Ramamani V. : Ramanujan Inter. Symp. on Analysis, Pune 1987, ed. N.K. Thakare, Macmillan (1989), 277-291. O
On some algebraic identities connected with Ramanujan´s work.
Ramamani V. & Venkatachaliengar K. : Michigan Math. J. 19 (1972), 137-140. xciii
On a partition theorem of Sylvester.
Ramanathan K. G. : Canadian J. Math. 2 (1950), 168. #159
Identities and congruences of the Ramanujan type.
Ramanathan K. G. : Proc. Indian Acad. Sci. 89 (1980), 133-157. xxviii
Ramanujan and the convergence properties of partitions.
Ramanathan K. G. : Current Science 50 (1981), 203-210. xxviii
The unpublished manuscripts of Srinivasa Ramanujan.
Ramanathan K. G. : J. Indian Math. Soc. 46 (1982), No.1-4, 107-136. xxxiii
Remarks on some series considered by Ramanujan.
Ramanathan K. G. : Acta Arith. 43 (1984), 209-226. iii
On Ramanujan´s continued fraction.
Ramanathan K. G. : Proc. Indian Acad. Sci. (Math. Sci.) 93 (1984), 67-77. xxviii
On the Rogers-Ramanujan continued fraction.
Ramanathan K. G. : Indian J. Pure & Appl. Math. 16 (1985), 695-724. xvii
Ramanujan´s continued fractions.
Ramanathan K. G. : J. Indian Math. Soc. 51 (1987), 1-25. xxxiii
Srinivasa Ramanujan : 22 December 1887 - 26 April 1920.
Ramanathan K. G. : J. Indian Math. Soc. 52 (1987), 71-89. xxxiii
Some application of Kronecker´s limit formula.
Ramanathan K. G. : J Indian Inst. Sci. 1987 ( Special Issue ), 25-32. xxxiii / O
Ramanujan´s notebooks.
Ramanathan K. G. : Proc. Indian ACad. Sci. (Math. Sci.): Ramanujan... 97 (1987), 277-296. O
Hypergeometric series and continued fractions.
Ramanathan K. G. : J. Number Theory. 29 (1988), No.2, 118-137. iii
Generalizations of some theorems of Ramanujan.
Ramanathan K. G. : Number Theory and Related Topics, Bombay (1988), T.I.F.R. - O.U.P. (1989),151-160. O
On some Theorems Stated by Ramanujan.
Ramanathan K. G. : Acta Arith. 53 (1990), 403-420. viii
Ramanujan´s Modular Equations.
Ramanujan S. : Quart. J. Math. 45 (1914), 350-372. xxiv / xxxviii
Modular equations and approximations to Pi.
Ramanujan S. : Mess. Math. 46 (1917), 73-80. xxxi
A series for Euler´s constant gamma.
Ramanujan S. : J. Indian Math. Soc. 3 (1911), 219-234, Collected Papers Chelsea (1962), 1-14. O
Some properties of Bernoulli´s numbers.
Ramanujan S. : J. Indian Math. Soc. 4 (1912), 59-61, Collected Papers Chelsea (1962), 15-17. O
On question 330 of professor Sanjana.
Ramanujan S. : J. Indian Math. Soc. 4 (1912), 94-96, Collected Papers Chelsea (1962), 18-19. O
Note on a set of simultaneous equations.
Ramanujan S. : J. Indian Math. Soc. 5 (1913), 105-106, Collected Papers Chelsea (1962), 20-21. O
Irregular numbers.
Ramanujan S. : J. Indian Math. Soc. 5 (1913), 132, Collected Papers Chelsea (1962), 22. O
Squaring the circle.
Ramanujan S. : Quart. J. Math. 45 (1914), 350-372, Collected Papers Chelsea (1962), 23-39. O
Modular equations and approximations to pi.
Ramanujan S. : J. Indian Math. Soc. 7 (1915), 93-96, Collected Papers Chelsea (1962), 40-43. O
On the integral I (0..x) tan^-1 t / t dt.
Ramanujan S. : J. Indian Math. Soc. 7 (1915), 131-133, Collected Papers Chelsea (1962), 44-46. O
On the number of divisors of a number.
Ramanujan S. : J. Indian Math. Soc. 7 (1915), 173-175, Collected Papers Chelsea (1962), 47-49. O
On the sum of the square roots of the first n natural numbers.
Ramanujan S. : J. Indian Math. Soc. 7 (1915), 209-211, Collected Papers Chelsea (1962), 50-52. O
On the product II ( n=0..inf) [ 1 + ( x/ a + nd)^3 ].
Ramanujan S. : Mess. of Math. 44 (1915), 10-18, Collected Papers Chelsea (1962), 53-58. O
Some definite integrals.
Ramanujan S. : Mess. of Math. 44 (1915), 75-85, Collected Papers Chelsea (1962), 59-67. O
Some definite integrals connected with Gauss´s sums.
Ramanujan S. : Mess. of Math 44 (1915), 157-160, Collected Papers Chelsea (1962), 68-71. O
Summation of a certain series.
Ramanujan S. : Quart. J. Math. 46 (1915), 253-260, Collected Papers Chelsea (1962), 72-77. O
New expresion for Riemann´s functions (s) and (t).
Ramanuan S. : Proc. London Math. Soc. (2) 14 (1915), 347-409, Collected Papers Chelsea (1962), 78-128. O
Highly composite numbers.
Ramanujan S. : Mess of Math. 45 (1916), 11-15, Collected Papers Chelsea (1962), 129-132. O
On certain infinite series.
Ramanujan S. : Mess. of Math. 45 (1916), 81-84, Collected Papers Chelsea (1962), 133-135. O
Some formulae in the analytic theory of numbers.
Ramanujan S. : Trans. Cambridge Phil. Soc. 22 (1916), No.9, 159-184, Collected Pap. Chelsea(1962), 136-162. O
On certain arithmetical functions.
Ramanujan S. : Mess. of Math. 46 (1917), 73-80, Collected Papers Chelsea (1962), 163-168. O
A series for Euler´s constant gamma.
Ramanujan S. : Proc. Cambridge Phil. Soc 29 (197), 11-21, Collected Papers Chelsea (1962), 169-178. O
On the expression of a number in the form ax^2+by^2+cz^2+du^2.
Ramanujan S. : Trans. Cambridge Phil. Soc. 22 (1918), No.13, 259-276, Collect. Pap. Chelsea (1962), 179-199. O
On certain trigonometric sums and their applications in the theory of numbers.
Ramanujan S. : Proc. London Math. Soc. (2) 17 (1918), Records for 17 Jan.1918, C. P. Chels. (1962), 200-201. O
Some definite integrals.
Ramanujan S. : J. Indian Math. Soc. 11 (1919), 81-87, Collected Papers Chelsea (1962), 202-207. O
Some definite integrals.
Ramanujan S. : J. Indain Math. Soc. 11 (1919), 181-182, Collected Papers Chelsea (1962), 208-209. O
A proof of Bertrand´s postulate.
Ramanujan S. : Proc. Cambridge Phil. Soc. 19 (1919), 207-210, Collected Papers Chelsea (1962), 210-213. O
Some properties of p(n), the number of partitions of n.
Ramanujan S. : Proc. Cambridge Phil. Soc. 19 (1919), 214-216, Collected Papers Chelsea (1962), 214-215. O
Proof of certain identities in combinatory analysis. ( Notes G. H. Hardy and L. J. Rogers p. 344-346 ).
Ramanujan S. : Quart. J. Math. 48 (1920), 294-310, Collected Papers Chelsea (1962), 216-229. O
A class of definite integrals.
Ramanujan S. : Proc. London Math. Soc. (2) 18 (1920), Records for 13 March 1919, C. P. Chelsea (1962), 230. O
Congruence properties of partitions.
Ramanujan S. : Proc. London Math. Soc. (2) 18 (1920), Records for 13 March 1919, C. P. Chelsea (1962), 231. O
Algebraic relation between certain infinite products.
Ramanujan S. : Math. Zeitsch. 9 (1921), 147-153, Collected Papers Chelsea (1962), 232-238. O
Congruence properties of partitions.
Ramanujan S. & Hardy G. H. : C. R. Acad. Sci. Paris (1917), Collected Papers Chelsea (1962), 239-241. O
Une formule asymptotique pour le nombre des partitions de n.
Ramanujan S. & Hardy G.H. : Proc. London Math. Soc. (2) 16 (1917), R. 14 Dec. 1916, Chel. (1962), 242-243. O
Proof that almost all numbers n are composed of about log log n prime factors.
Ramanujan S. & Hardy G. H. : Proc. London Math. Soc. (2) 16 (1917), R. 1 March 1917, Chelsea (1962), 244. O
Asymptotic formulae in combinatory analysis.
Ramanujan S. & Hardy G. H. : Proc. London Math. Soc. (2) 16 (1917), 112-132, C. P. Chelsea (1962), 245-261. O
Asymptotic formulae for the distribution of integers of various types.
Ramanujan S. & Hardy G. H. : Quart. J. Math. 48 (1917), 76-92, Collected Papers Chelsea (1962), 262-275. O
The normal number of prime factors of a number n.
Ramanujan S. & Hardy G. H. : Proc. London Math. Soc. (2) 17 (1918), 75-115, C. P. Chelsea (1962), 276-309. O
Asymptotic formulae in combinatory analysis.
Ramanujan S. & Hardy G. H. : Proc. of the Royal Soc. A, 95 (1919), 144-155, C. P. Chelsea (1962), 310-321. O
On the coefficients in the expansions of certain modular functions.
Ramanujan S. : J. Indian Math. Soc., Collected Papers Chelsea (1962), 322-334. O
Questions and Solutions.
Ramanujan S. : Collected Papers Chelsea (1962), 335-348. O
Appendix I : Notes on the papers.
Ramanujan S. : Collected Papers Chelsea (1962), 349-355. O
Appendix II : Further extracts from Ramanujan´s letters to G. H. Hardy.
Ramanujan S. :Eds. G.H. Hardy, P.V. Seshu Aiyar and B.M. Wilson, Cambridge University Press (1927), xxxvi+355pp. O
Collected Papers of Srinivasa Ramanujan.
Ramanujan S. : Eds. G.H. Hardy, P.V. Seshu Aiyar and B.M. Wilson, Chelsea (1962), xxxvi + 355 pp. O
Collected Papers of Srinivasa Ramanujan.
Ramanujan S. : Eds. G. H.Hardy, P. V. Seshu Aiyar amd B. M. Wilson, and B. C. Berndt. Chelsea-AMS 2000. O
Collected Papers of Srinivasa Ramanujan.
Ramanujan S. (annotated by J. L. Nicolas - G. Robin) : The Ramanujan Journal 1 (1997), No.2, 119-153. O
Highly Composite Numbers.
Ramasamy A. M. S. : Indian J. Pyre & Appl. Math. 25 (1994), No.6, 577-581. lxxxi1
Polynomial solutions for the Pell´s equation.
Ramaseshan S. : Proc. Ramanujan Cent. Inter. Conf., Annamalainagar 1987, Ramanujan Math. Soc. (1988), 1-14. O
Srinivasa Ramanujan.
Ramaswami V. : J. London Math. Soc. 9 (1934), 165-169. #168
Notes on Riemann´s Zeta-function.
Ramharter G. : Ann. Univ. Sci. Budapest. Eotvos Sect. Math. 28 (1985), 11-15. lxxxi1
Eine Bemerkung über gewisser Nullmengen von kettenbrüchen.
Ramus C. : J. Reine Angew. Math. 20 (1839), 13-26. xxi
Remarques sur les fractions continues periodiques.
Ramus C. : J. Reine Angew. Math. 20 (1839), 26-27. xxi
Addition aux remarques du mémoire précédent.
Raney G. N. : Trans. Amer. Math. Soc. 94 (1960), 441-451. cxxvi / cxxxix
Functional composition patterns and power series reversion.
Raney G. N. : Math. Annalen 206 (1973), 265-283. xlvii
On continued fractions and finite automata.
Rangachari M. S. : J. Indian Inst. Sci. 1987 (Special Issue), 3-9. xxxiii / O
The indian tradition in mathematics.
Rangachari S. S. : Proc. Indian Acad. Sci. (Math. Sci.) 91 (1982), 1-15. xxiv
Ramanujan and Dirichlet series with Euler products.
Rangachari S. S. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 347-357. O
Euler products, modular identities and elliptic integrals in Ramanujan´s manuscripts II.
Rangachari S. S. : J. Number Theory 48 (1994), No.3, 364-372. cii / cxx
On a result of Ramanujan on theta functions.
Rankin R. A. : Proc. Cambridge Phil. Soc. 35 (1939), 351-356. lxxvii
Contributions to the theory of Ramanujan´s function tau (n) and similar arithmetical functions (i).
Rankin R. A. : Proc. Cambridge Phil. Soc. 35 (1939), 357-372. lxxvii
Contributions to the theory of Ramanujan´s function tau (n) and similar arithmetical functions (ii).
Rankin R. A. : Proc. Cambridge Phil. Soc. 36 (1940), 150-151. lxxvii
Contributions to the theory of Ramanujan´s function tau (n) and similar artihmetical functions (iii).
Rankin R. A. : J. London Math. Soc. 41 (1966), 551-565. xlii
George Neville Watson.
Rankin R. A. : Proc. Royal Soc. Edinburgh 76 A (1976), 107-117. xciii
Elementary proofs of relations between Eisenstein series.
Rankin R. A. : Modular Functions of one Variable V Bonn 1976, Lect. Notes Math. 601 (1977), 3-15. O
Ramanujan´s unpublished work on congruences.
Rankin R. A. : Bull. London Math. Soc. 14 (1982), 81-97. xxv
Ramanujan´s manuscripts and notebooks.
Rankin R. A. : Proc. Indian Acad. Sci. ( Math. Sci. ) 93 (1984), 79-100. xxviii
Ramanujan as a patient.
Rankin R. A. : Math. Proc. Cambridge Philos Soc. 100 (1986), 5-29. cxxvi
Fourier coefficients of cusp forms.
Rankin R. A. : Bull. Inst. Math. & Appl. 23 (1987), No.10-11, 145-152. xci
Srinivasa Ramanujan (1887-1920).
Rankin R. A. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 245-268. O
Ramanujan´s tau-function and its generalizations.
Rankin R. A. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 52. O
Brief Recollections of Heilbronn.
Rankin R. A. : Bull. London Math. Soc. 21 (1989), 351-365. xxiv
Ramanujan´s manuscripts and notebooks II.
Rankin R. : Number Theory and Related Topics, Bombay (1988), T.I.F.R. - O.U.P. (1989), 161-175. O
The adjoint Hecke operator II.
Rankin R. A. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 107-118. O
Diagonalizing Eisenstein series IV.
Rao A. N. : Math. Student 4 (1936), 116-118. xxxvi
P. V. Seshu Aiyar.
Rao A. N. : Math. Student 4 (1936), 168-169. xxxvi
Ddewan Bahadur R. Ramachandra Rao.
Rao A. N. : Math. Student 4 (1936), 169. xxxvi
Rao Bahadur S. Narayana Ayyar.
Rao A.N. & Iyer V.G. : Math. Student 29 (1961), 1-14. xxxvi
R. Vaidyanathawamy (1894-1960).
Rao R. Ramachandra : J. Indian Math. Soc. 12 (1920), 87-90. xxxiv2
In memoriam S. Ramanujan.
Rao K. Srinivasa : Harvard University Pre-Prints arXiv:math.HO/0003184, 28 Mar 2000, 30pp. F.ps
Life and Work of the Mathemagician Srinivasa Ramanujan.
Rasch G. : Annals Math. (2) 32 (1931), No.3, 591-599. O
Notes on gamma function.
Rassias Th. M. & Singh S. N. : Complex-Variables Theory & Appl. 18 (1992), No.1-2, 3-6. cxxxiii
Certain transformations involving basic hypergeometric series.
Rassias Th. M. & Singh S. N. : Computers & Mathematics with Appl. 27 (1994), No.1, 33-39. cvii
Some q-generating functions associated with basic multiple hypergeometric series.
Rasulov M. L. : 1967 North-Holland / John Wiley and Sons. O
Methods of Contour Integration.
Ratliff M. : Fibonacci Quarterly 31 (1993), No.3, 263-267. O
Mandelbrot´s functional iteration and continued fractions.
Rav Y. : J. Reine Angew. Math. 222 (1966), 207-213. #174
On the representation of rational number as a sum of a fixed number of units fractions.
Rawlings D. : Proc. Amer. Math. Soc. 83 (1983), 560-562. #172
The combinatorics of certain products.
Rawlings D. : Adv. in Appl. Math. 18 (1997), No.2, 133-148. #150
Absorption processes : models for q-identities.
Ray D. K. & Chaud H. (Eds.) : Proc. Symp. Pure Mathematics No. 34 , American Math. Society, 1979. O
Relations between Combinatorics and other Parts of Mathematics.
Ray S. K. & Das A. G. : Ramanujan Inter. Symp. Anal, Pune 1987, ed. Thakare, Macmillan (1989), 373-395. O
A new definition of RS*k integral and generalized Stieltjes resultant.
Reddy P. V. & Hanumanthachari J. : Southeast Asian Bull. Math. 13 (1989), No.1, 43-51. cv
Structure of a class of integers and its applications to certain totients and allied Ramanujan sums.
Reed I. S. : Duke Math. J. 11 (1944), 565-572. cxxvi
The Mellin type of double integrals.
Reid W. M. : Proc. Analytic Theory Continued Fractions, Norway 1981, Lect. Notes Math 932 (1982), 206-224. O
Parameterizations and factorizations of element regions for continued fractions K(An/1).
Reitwiesner G. W. : (1950),11-15. Pi : A source book, 277-281.
An ENIAC determination of Pi and e to more than 2000 decimal places.
Remak R. : Arch. der Math. u. Phys. (3) 15 (1908), 186-193. lxxx
Elementare Verallgemeinerung einer bekamten Eigenschaft der Zahl 30.
Ribenboim P. : Expo. Math. 2 (1984), 193-221. cv
Consecutive powers.
Ribenboim P. : L´ Enseignement Math. 3 (1985), 249-259. cxxviii
Representation of real numbers by means of Fibonacci numbers.
Ribenboim P. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 279-294. O
Fermat´s last theorem, before June 23, 1993.
Ribenboim P. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 391-392. O
Homework !.
Ribitska O. M. & Syavavko M. S. : J. Soviet Math. 67 (1993), No.5, 3257-3264. lxxxv
Application of integral continued fractions for solving linear equations of the second kind.
Richards D. St. P. : Proc. on q-series & partitions, March 7-11 1988, IMA Vol. 18, Springer (1989), 109-137. O
Analogs and extensions of Selberg´s integral.
Richards D. St. P. : Linear Algebra & Appl. 137-138 (1990), 467-478. cxxix
Totally positive kernels, Polya frecuency functions, and generalized hypergeometric series.
Richert N. : J. Number Theory 25 (1987), No.2, 162-168. xcix / cxviii
Regular chains for equivalent complex irrationals.
Richert N. : Amer. Math. Monthly 98 (1991), No.2, 133-139. O
Hypocycloids, Continued Fractions, and Distribution Modulo One.
Richert N. : Amer. Math. Monthly 99 (1992), No.2, 101-107. O
Strang´s strange figures.
Richmond B. & Szekeres G. : Acta Scientarum Mathematicarum 40 (1978), 347-369. xciii
The Taylor coefficients of certain infinite products.
Richmond B. & Szekeres G. : J. Australian Math. Soc. Ser. A : 31 (1981), 362-373. vii
Some formulas related to dilogaritms, the zeta-function and the Andrews-Gordon identities.
Richmond H. W. : Mess. Math. 21 (1892), 77-78. liii
The sum of the cubes of the coefficients in (1-x)^2n.
Richtmyer R.D. & Devaney M. & Metropolis N. : Numer. Math. 4 (1962), 68-84. iv2
Continued fractions expansions of algebraic numbers.
Ridley J. N. : The Ramanujan Journal 5 (2001), No.2, June, 159-165. O
Fourth Order Linear Recurrences Satisfied by Wythoff Pairs.
Rieger G. J. : Abh. Braunschweig Wiss. Gesellsch. 31 (1980), 137-143. xc
Einige Rekursionsformwln für summen mit Binomialkoeffizienten.
Rieger G. J. : The Fibonacci Quarterly 37 (1999), No.2, May, 178-179. O
The Golden Section and Newton Approximation.
Riese A. : Electronic J. Combinatorics 3 (1996), R19. ejc1
A generalization of Gosper´s algorithm to bibasic hypergeometric summation.
Riesel H. : BIT 13 (1973), 97-113. xxv
Some series related to infinite series given by Ramanujan.
Riesel H. : BIT Comput. Sci. Numer. Math. 27 (1987), No.2, 248-263. xcix / cxvii
On the metric theory of nearest integer continued fractions.
Riesz F. & Sz.-Nagy B. : Frederic Ungar Publishing Co. New York, 1955 / 1972. O
Functional Analysis.
Riesz F. & Sz.-Nagy B. : Frederic Ungar Publidhing Co. New York, 1960. O
Appendix to Functional Analysis.
Riesz M. : Proc. Cambridge Philos. Soc. 20 (1921), 205-207. cxliv
Sur le principé de Phragmén-Lindelöf. I.
Riesz M. : Proc. Cambridge Philos. Soc. 21 (1922), 6-7. cxliv
Sur le principé de Phragmén-Lindelöf. II.
Rippon P. J. : Amer. Math. Monthly. 93 (1986), 476-478. f
Convergence with pictures.
Ritt J. F. : Trans. Amer. Math. Soc. 29 (1927), 341-360. cxxvii
Meromorphic functions with addition or multiplication theorems.
Ritt J. F. : Math. Zeitschr. 32 (1932), 1-3. #158
Representation of analytic functions as infinite products.
Ritt J. F. : Columbia University Press 1948. O
Integration in Finite Terms, Liouville's Theory of Elementary Methods.
Rittenhouse D. (See: Homann F. A.) : Math. Mag. 60 (1987), No.1, 15-20. xcvii
David Rittenhouse: Logarithms and leisure.
Rivest R. & Shamir A. & Adleman L. : Communications of the ACM 21 (1978), 120-126. cxiv
A method for obtaining digital signatures and public key cryptosystems.
Roach F. A. : Proc. Amer. Math. Soc. 62 (1977), 299-304. xxix / cxii
Boundedness of value regions and convergence of continued fractions.
Robbins H. : Amer. Math. Monthly 62 (1955), 26-29. #168
A remark on Stirling´s formula.
Robbins N. : Fibonacci Quarterly 33 (1995), No.4, 311-312. O
A note regarding continued fractions.
Roberts S. : Proc. London Math. Soc. 9 (1878), 187-196. xlix
Decomposition of certain numbers into sums of two square integers by continued fractions.
Roberts S. : Proc. London Math. Soc. 10 (1878), 29-41. xlix
On forms of numbers determined by continued fractions.
Robin G. : J. Math. Pures et Appl. 63 (1984), 187-213. li
Grandes valeurs de la fonction somme des diviseurs et hypothése de Riemann.
Robins S. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 119-128. O
Generalized Dedekind eta-products.
Robinson D. W. : The Fibonacci Quarterly 1 (1963), No.2, April, 29-36. O
The Fibonacci matrix modulo m.
Robinson G. M. : Trans Amer. Math. Soc. 28 (1926), 50-73. lxxxv
Divergent double sequences and series.
Robinson R. M. : Duke Math. J. 7 (1940), 354-359. lix
The approximation of irrational numbers by fractions with odd or even terms.
Robinson R. M. : Amer. Math. Monthly 97 (1990), No.3, 214-215. O
Comment to " A motivated proof of the R-R identities, AMM 96 (1989), No.5, 401-409, Andrews-Baxter".
Rocket A. M. & Szüzs P. : Acta Arithm. 47 (1986), No.4, 347-350. xcix / cxviii
A localization theorem in the theory of Diophantine approximation and an application to Pell´s equation.
Rocket A. M. & Szüsz P. : Forum Math. 2 (1990), No.2, 119-123. xxi
On the length of the periods of the continued fractions of square-roots of integers.
Rodnianski I. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 311-323. O
Continued fractions and Schrödinger evolution.
Rodriguez Villegas F. & Zagier D. : 4º Conf. Canad. Numb.Theory Assoc. 1994, 1995 AMS, 295-306. O
Which primes are sums of two cubes ?.
Rodseth O. J. & Sellers J. A. : Journal of Combinatorial Theory Ser. A 98 (2002), No.1, April, 33-45. m-01
Binary Partitions Revisited.
Rogers C. A. : Proc. London Math. Soc. (3) 14 (1964), 29-44. lxxi
Some sets of continued fractions.
Rogers L. J. : Proc. London Math. Soc. (1ª) 17 (1886), 220-231. xviii
Homographic and circular reciprocants.
Rogers L. J. : Proc. London Math. Soc. (1ª) 17 (1886), 344-354. xviii
Second paper on reciprocants.
Rogers L. J. : Proc. London Math. Soc. (1ª) 18 (1887), 130-141. xviii
Third memoir on reciprocants.
Rogers L. J. : Proc. London Math. Soc. (1ª) 19 (1887-1888), 550-560. vi1
On the development of certain elliptic functions as continued fractions.
Rogers L. J. : Messenger Math. 17 (1888), 145-150. xviii
An extension of a certain theorem in inequalities.
Rogers L. J. : Proc. London Math. Soc. (1ª) 20 (1889), 161-179. xviii
On secondary invariants.
Rogers L. J. : Messenger Math. 23 (1893), 28-31. vi1
Note on the transformation of an Heine series.
Rogers L. J. : Proc. London Math. Soc. (1ª) 24 (1893), 171-179. vi1
On a three-fold symetry in elements of Heine´s series.
Rogers L. J. : Proc. London Math. Soc. (1ª) 24 (1893), 337-352. iv1
On the expansions of some infinite products.
Rogers L. J. : Proc. London Math. Soc. (1ª) 25 (1894), 318-343. iv1
Second memoir on the expansion of certain infinite products.
Rogers L. J. : Proc. London Math. Soc. (1ª) 26 (1895), 15-32. iv1
Third memoir on the expansion of certain infinite products.
Rogers L. J. : Proc. London Math. Soc. (2ª) 4 (1906-07), 169-189. xiii
On function sum theorems connected with the series S(n^(-2)*X^n).
Rogers L. J. : Proc. London Math. Soc. (2ª) 4 (1907), 72-89. iv1
On the representation of certain asymptotics series as convergent continued fractions.
Rogers L. J. : Proc. London Math. Soc. (2ª) 4 (1907), 393-395. iv1
Supplementary note On the representation of certain asymptotis series as convergent... .
Rogers L. J. : Proc. London Math. Soc. (2ª) 16 (1917), 315-336. iv1
On two theorems of combinatory analysis and some allied identities.
Rogers L. J. : Proc. Cambridge Philos. Soc. 19 (1919), 211-214. vi1
Proof of certain identities in combinatory analysis.
Rogers L. J. : Proc. London Math. Soc. (2ª) 19 (1921), 387-397. vi1
On a type of modular relation.
Rogers L. J. : Proc. Cambridge Philos. Soc. 20 (1921), 257-262. lv
On a Gaussian series of six elements.
Rogosinski W. : Chelsea Publishing Co. 1950. O
Fourier Series.
Rohatgi V. K. : 1976 John Wiley. O
An Introduction To Probability Theory and Mathematical
Statistics.
Rohatgi V. K. and Saleh A. K. E.: 2001 John Wiley and Sons. O
An Introduction to Probability and Statistics.
Roman S. : Amer. Math. Monthly 87 (1980), 805-809. lxxx
The formula of Faa di Bruno.
Ronning F. : Numerical Algorithms 3 (1992), No.1-4, 383-391. xcviii
PC-fractions and Szego polynomials associated with starlike univalent functions.
Ronning F. : Proc. Continued Fraction & O. F. IV Norway 1992, Dekker LNPAM 154 (1994), 345-352. O
A Szegö quadrature formula arising from q-starlike functions.
Roselle D. P. : Proc. Amer. Math. Soc. 45 (1974), 144-150. #172
Coefficients associated with the expansion of certain products.
Rosen D. : Duke Math. J. : 21 (1954), 549-563. xciii
A class of continued fractions associated with certain properly discontinuous groups.
Rosen D. & Schmidt T. A. : Bull. Austral. Math. Soc. 46 (1992), No.3, 459-474. xcv
Hecke groups and continued fractions.
Rosen M. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 307-323. O
Average value of class numbers in cyclic extensions of the rational function field.
Ross A. E. : Proc. Ramanujan Cent. Int. Conf., Annamalainagar 1987, Ramanujan Math. Soc. (1988), 161-188. O
On the logistics of talent.
Rosser J. B. : Amer. Math. Soc. 57 (1950), 528-535. xlv
Generalized ternary continued fractions.
Rosser J. B. : J. Res. Nat. Bur. Standards 46 (1951), 56-64. xciii
Transformations to speed the convergence of series.
Rosser J. B. & Scoenfeld L. : Illinois J. Math. 6 (1962), 64-94. lxxxiiii
Approximate formulas for some functions of prime numbers.
Rotkiewicz A. : Enseignement Math. (2) 7 (1961), 277-280, (1962). cxix
Démonstration arithmétique de l´existence d´une infinite de nombres de la forme nk+1.
Rouché E. : J. École Polytechnique Paris. 21 Cahier 37 (1858), 1-34. lxxxviii
Mémoire sur le dévelopement des fonctions en séries ordennées suivant les denominateurs des réduites d´une f.c. .
Roy D. & Waldschmidt M. : The Ramanujan Journal 1 (1997), No.4, 379-430. O
Simultaneous Approximation and Algebraic Independence.
Roy R. : Math. Student 46 (1978), 130-132. lvii
On a paper of Ramanujan on definite integrals.
Roy R. : Amer. Math. Monthly 94 (1987), No.1, 36-46. O
Binomial Identities and Hypergeometric Series.
Roy R. : Mathematics Magazine 63 (1990), No.5, 291-306. Pi : A source book, 92-107.
The Discovery of the Series Formula for Pi by Leibniz, Gregory and Nilakantha.
Rozema E. R. : Amer. Math. Monthly 94 (1987), No.3, 284-288. O
Romberg integration by Taylor series.
Rubel L. A. : Amer. Math. Monthly 96 (1989), No.9, 777-788. O
A survey of transcendentally transcendental function.
Ruggles I. D. : The Fibonacci Quarterly 1 (1963), No.2, April, 75-80. O
Some Fibonacci results using Fibonacci-type sequences.
Ruijsenaars S. N. M. : Adv. In Math. 156 (2000), No.1, December, 107-132. #167 / m-01-pdf
On Barnes´ Multiple Zeta and Gamma Function.
Rumely R. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 325-357. O
An intersection pairing for curves, with analytic contributions from nonarchimedean places.
Runckel H. J. : Math. Annalen 203 (1973), 191-200. cviii
Distribution of zeros of certain meromorphic continued fractions.
Runckel H. J. : J. Reine Angew. Math. 281 (1976), 97-125. lxxxv
Bounded analytic functions in the unit disk and the behaviour of certain continued fractions near the singular line.
Runckel H. J. : Math. Zeitschr. 148 (1976), 189-205. lxxxv
Continuity on the boundary and analytic continuation of continued fractions.
Runckel H. J. : Proc. Amer. Math. Soc. 97 (1986), 114-120. v
Pole and zero-free regions for analytic continued fractions.
Runckel H. J. : Rocky Mount. J. Math. 21 (1991), No.1, 539-556. lxxxii
Meromorphic extension of analytic continued fractions across the line of non convergence.
Runckel H. J. : Trans. Amer. Math. Soc. 334 (1992), No.1, 182-212. xvi
Meromorphic extensions of analytic continued fractions across their divergence line...
Runckel H. J. : Constructive Approx. 10 (1994), No.2, 207-234. xcix / cxvii
Solution formulas for linear difference equations with applications to continued fractions.
Ruscheweyh S. : Math. Nachrichten 57 (1973), 237-244. #162
Einige neue Darstellungen des Di - und Trilogarithmus.
Rushforth J. M. : Proc. Cambridge Philos. Soc. 48 (1952), 402-413. cxxvi
Congruence properties of the partition function and associated functions.
Russell R. : Proc. London Math. Soc. 19 (1887), 90-111. xxvii
On kl - k'l' modular equations.
Russell R. : Proc. London Math. Soc. 21 (1890), 351-395. xiii
On modular equations.
Ruzsa I. Z. : The Ramanujan Journal 2 (1998), No.1/2, 55-58. O
A Small Maximal Sidon Set.
Ryde F. : Arkiv för Matematik, Astro. & Fys. 34 A (1947), 1-16. cxxv
Eine produktdarstellung der monotonen nichtwachsenden kettenbrüche.
Ryde F. : Arkiv för Matematik, Astro. & Fys. 34 A (1947), No.11, 1-13. cxxv
Tafel und nomogramm der monotonen, nichtwachsenden kettenbrüche.
Ryde F. : Arkiv för Matematik 1 (1949), 27-44. cxxv
Fast-monotone Kettenbruche.
Ryde F. : Arkiv för Matematik 1 (1951), 319-339. cxxv
Eine nen Art monotoner Kettenbruchentwicklungen.
Ryde F. : Arkiv för Matematik 1 (1951), 409-420. cxxv
Sur les fractions continues monotones non-décroissantes périodiques.
Rye E. & Waadeland H. : Numer. Math. 47 (1985), 191-215. xxxix2 / cx / cxxiv
Reflections on value regions limit regions and truncation error for continued fractions.
Saalschütz L. : Zeit. Math. Phys. 35 (1890), 186-188. lxxxiv
Eine Summationsformel.
Saalschütz L. : Zeit. Math. Phys. 36 (1891), 278-295. lxxxiv
Über einen spezialfall der hypergeometrischen reihe dritter ordung.
Saalschütz L. : Zeit. Math. Phys. 36 (1891), 321-327. lxxxiv
Über einen spezialfall der hypergeometrischen reihe dritter ordung (Cont.).
Saalschütz L. : Archiv der Math. & Phys. 11 (1907), 327-331. cxxiv
Periodische Kettenbrüche.
Sachse : Bull. Sci. Math. et Astro. (2) 4 (1880), 43-64. xlvii2
Essai historique sur la representation d´une fonction arbitraire d´une seule variable...
Sachse : Bull. Sci. Math. et Astro. (2) 4 (1880), 83-112. xlvii2
Essai historique sur la . . . seule variable par une série trigonométrique. ( Suite ).
Saff E. B. : J. Approx. Theory 6 (1972), 63-67. xxxv
An extension of Montessus de Ballore´s theorem on the convergence of interpolating rational f.
Saff E. B. & Snider A. D. : 1976 Prentice-Hall. O
Fundamentals of Complex Analysis, for Mathematics, Science and Engineering.
Saff E. B. & Varga R. S. : Numer. Math. 25 (1975), 1-14. cxxiv
On the zeros and poles of Padé approximants to e^z.
Saigo M. & Srivastava H. M. : Proc. Amer. Math. Soc. 110 (1990), No.1, 71-76. lxxviii
The behaviour of the zero-balanced hypergeometric series pFp-1 near the boundary of its convergent region.
Saigo M. & Srivastava H. M. : J. Austral. Math. Soc Ser. A 57 (1994), No.3, 281-294. cxxxi
The behav. of the fourth type of Lauricella´s hyperg. series in n-variabl. near the boundaries of its converg. region.
Salam A. : Mathematics Student 11 (1943), 50-51. #153
A problem of Ramanujan.
Salamin E. : Math. Comput. 30 (1976), No.135, 565-570. Pi : A source book, 418-423.
Computation of Pi using arithmetic-geometric mean.
Sale A. H. J. : Computer J. 11 (1968), 229-230. lviii
The calculation of e to many significant digits.
Salem R. : Duke Math. J. 12 (1945), 153-172. #156
Power series with integral coefficients.
Salvati Manin R. : J. Number Theory 83 (2000), No.2, August, 282-296. #167
Slope of cuso forms and theta series.
Salzer H. E. : Amer. Math. Monthly 54 (1947), 135-142. cix
The approximation of numbers a sum of reciprocals.
Samur J. D. : Trans. Amer. Math. Soc. 316 No.1 (1989), 53-79. xv
On some limit theorems for continued fractions.
Samur J. D. : Trans. Amer. Math. Soc. 348 (1996), No.4, (Apr.), 1411-1428. ci / cxix
Some remarks on a probability limit theorem for continued fractions.
Sanchi-Lozano M. A. : J. Comput. & Appl. Math. 85 (1997), No.2, 325-331. #161
Simple connections between generalized hypergeometric series and dilogarithms.
Sandham H. F. : J. London Math. Soc. 24 (1949), 83-91. cxxxi
A logarithmic transcendent.
Sandham H. F. : Quart. J. Math. Oxford 1 (1950), 238-240. xl
Three summations due to Ramanujan.
Sandham H. F. : J. London Math. Soc. 27 (1952), 107-115. cxliv
Five series of partitions.
Sandham H. F. : J. London Math. Soc. 29 (1954), 31-37. cxliv
A square as the sum 9, 11 and 13 squares.
Sandham H. F. : Proc. Amer. Math. Soc. 5 (1954), 430-436. xlvii / xlvi
Some infinite series.
Sandham H. F. : Quart. J. Math. (Oxford) (2) 7 (1956), 153-154. cxxxix
A square and a product of hypergeometric functions.
Sándor J. : Studia Univ. Babes-Bolyai Math. 29 (1984), 3-12. #156
Some classes of irrational numbers.
Sándor J. : Studia Yniv. Babes-Bolyai Math. 33 (1988), 8-12. #156
On the irrationality of some alternating series.
Sanielevici S. : Annales Sci. de L´ Univ. de Jassy 18 (1933), 197-214. cxxv
Sur l´ integration des équations différentielles par les fractions continues.
Sanker D. : Math. Scand. 68 (1991), No.1, 5-18. #149
The converse to Alexandre Froda´s irrationality criterion.
Saram S. : Ganita 6 (1955), 9-23. cxliv
Transformations of hypergeometric function of three variables.
Sarma G. C. : Proc. Symp. Algebra & Number Theory, Kerala 1990, 39-43. O / f
Formal derivation of Ramanujan identities.
Sasvári Z. : Amer. Math. Monthly 106 (1999), No.2, 157-160. #154
An elementary proof of Binet´s formula for the gamma function.
Satake I. : Number Theory and Related Topics, Bombay (1988), T.I.F.R. - O.U.P. (1989), 177-193. O
On zeta functions associated with self-dual homogeneous cones.
Satgé Ph. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 359-373. O
Questions arithmétiques liées au théorème de Poncelet.
Sathe L. G. : J. Indian Math. Soc. 17 (1953), 63-82. cxxvi
On a problem of Hardy on the distribution of integers having a given number of prime factors. I.
Sathe L. G. : J. Indian Math. Soc. 17 (1953), 83-141. cxxvi
On a problem of Hardy on the distribution of integers having a given number of prime fractors. II.
Sathe L. G. : J. Indian Math. Soc. 18 (1954), 27-42. cxxvi
On a problem of Hardy on the distribution of integres having a given number of prime factors. III.
Sathe L. G. : J. Indian Math. Soc. 18 (1954), 43-81. cxxvi
On a problem of Hardy on the distribution of integers having a given number of prime factors. IV.
Saxema R. K. & Gupta R. K. : Le Mathematiche 46 (1991), No.2, 675-679. cxxxiii
On certain transformations of triple q-series.
Scaeffer : J. Reine Angew. Math. 37 (1848), 127-160. cxxx
Adnotationes ad seriem 1 + x/y v + x(x+1)/y(y+1) v^2 + ...
Schafheitlin P. : Math. Annalen 30 (1887), 157-178. cxxviii
Ueber die Darstellung der Hypergeometrische Reihen durch ein bestimmters Integral.
Schatte P. : Math. Nachr. 148 (1990), 137-144. xxiii
On Benford´s law for continued fractions.
Schechter M. : Amer. Math. Monthly 91 (1984), No.10, 629-632. Ó
Summation of divergent series by computer.
Schellbach : J. Reine Angew. Math. 48 (1854), 207-236. xliv
Die einfachsten periodische functionen.
Schensted C. : Canadian J. Math. 13 (1961), 179-192. #172
Longest increasing and decreasing sequences.
Schepler H. C. : Mathematics Magazine (1950), 165-170. Pi : A source book, 282-287.
The chronology of Pi.
Schepler H. C. : Mathematics Magazine (1950), 216-228. Pi : A source book, 288-300.
The chronology of Pi ( Continued ).
Schepler H. C. : Mathematics Magazine (1950), 279-283. Pi : A source book, 301-305.
The chronology of Pi ( Continued ).
Scherk H. F. : J. Reine Angew. Math. 9 (1832), 162-168. xxxi
Bemerkungen über die Lambertsche Reihe.
Scherk P. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 49-50. O
Brief Recollection of Heilbronn.
Schilling A. & Warnaar S. O. : The Ramanujan Journal 2 (1998), No.3, 327-349. O
A Higher Level Bailey Lemma : Proof and Application.
Schilling A. & Warnaar S. O. : The Ramanujan Journal 2 (1998), No.4, 459-494. O
Supernomial Coefficients, Polynomial Identities and q-Series.
Schinzel A. : Acta Arithm. 6 (1961), 393-413. cviii
On some problems of the arithmetical theory of continued fractions.
Schinzel A. : Acta Arith. 7 (1961/1962), 287-298. xciv
On some problems of the arithmetical theory of continued fractions. II.
Schinzel A. : Annali di Mat. Pura ed Appl. 98 (1974), 111-117. #175
On two conjectures of P. Chowla and S. Chowla concerning continued fractions.
Schinzel A. : Acta Arith. 47 (1986), No.3, 295. xcix / cxviii
Corrigendum " On some problems of the arithmetical theory of continued fractions. II " Acta Artih. 7 (1961/62).
Schinzel A. & Wirsing E. : Proc. Indian Acad. Sci. (Math. Sci.) 97 (1987), 297-303. O
Multiplicative properties of the partition function.
Schläfli L. : J. Reine Angew. Math. 72 (1870), 360-369. xxxviii
Beweis der Hermiteschen Verwandlungstafeln für die Elliptischen Modul Funktionen.
Schläfli L. : Math. Annalen 3 (1870), 286-295. cxxviii
Ueber die Gauss´sche hypergeometrische Reihen.
Schlömilch O. : Zeit Math. Phys. 16 (1871), 259-260. xl
Ueber der kettenbrüch für Tan z.
Schlömilch O. : Zeit Math. Phys. 16 (1871), 261-262. xl
Über eine kettenbruchentwicklung für unvollständige Gammafunktionen.
Schlosser M. : The Ramanujan Journal 1 (1997), No.3, 243-274. O
Multidimensional Matrix Inversions and Ar and Dr Basic Hypergeometric Series.
Schlosser M. : The Ramanujan Journal 3 (1999), No.4, December, 405-461. O
Some New Applications of Matrix Inversions in Ar.
Schmidt H. : Archiv der Math. 1 (1949), 333-339. lvii
Zur kettenbruchtheorie der zweiseitigen zahlklassen
Schmidt H. : Math. Zeit. 52 (1949), 168-192. lvii / ?
Zur approximation und kettenbruchentwicklung.
Schmidt T. A. & Sheingorn M. : The Ramanujan Journal 1 (1997), No.2, 155-163. O
Covering the Hecke Triangle Surfaces.
Schmidt W. M. : Number Theory and Related Topics, Bombay (1988), T.I.F.R. - O.U.P. (1989), 195-202. O
The number of rational approximat. to algebraic numbers and the number of solutions of norm form equations.
Schneider I. : Arch. Hist. Exact Sci. 5 (1968), 177-317. cxxix
Der Mathematiker Abrham de Moivre (1667-1754).
Schoenberg I. J. : Amer. Math. Monthly 93 (1986), No.4, 305-307. Ó
How Schlicht is a Geometric Series ?.
Schoissengeier J. : Manuscripta Math. 38 (1982), 257-263. lxxxiv
Der Numerische Wert gewisser Reihen.
Schröter H. : J. Math. Pures & Appl. (2) 3 (1858), 258-264. xxxvii
Extrait d´une lettre adressée A. M. Liouville.
Schröter H. : J. Reine Angew. Math. 58 (1861), 378-379. xxxii
Ueber modulargleichungen der elliptischen functionen.
Schröter H. : Acta Math. 5 (1884), 205-208. xxxii
Beiträge zur theorie der elliptischen funktionen.
Schubert F. T. : Mém. Acad. Sc. Imp. St. Pétersbourg 7 (1820), 139-158. lxxxviii
De transformatione seriei in fractionem continuam.
Schuh F. : P. Noordhoff Groningen 1918. O
Oneindige Producten.
Schulze : Mitteilungen der Mathematische Gessellschaft in Hamburg No.5 (1885). xcii-2
Zur Geschichte der hypergeometrische Reihen.
Schur I. : Gesammelte Abhandlungen Bd. 2 (1973), 117-136. xxix / O
Ein Beitrag zur Additiven Zahlentheorie und zur Theorie der Kettenbrüchen.
Schur I. : Gesammelte Abhandlungen Bd. 2 (1973), 289-321. xxix / O
Über Lineare Transformationen in der Theorie der Undendlichen Reihen.
Schur I. : Gesammelte Abhandlungen Bd. 3 (1973), 43-50. xxix / O
Zur Additiven Zahlentheorie.
Schuske G. & Thron W. J. : Proc. Amer. Math. Soc. 12 (1961), 527-???. #163
Infinite Radicals in the Complex Plane.
Schützenberger M. P. : Math. Scandinavica 12 (1963), 117-128. #173
Quelques remarques sur une construction de Schensted.
Schwarz H. A. : J. Reine Angew. Math. 75 (1873), 292-335. cxxx
Ueber diejenigen fälle in wekhen die Gauss´sche hypergeometr. Reihen eine algebra. funct. ihres viertes elemt.
Schwarz W. : Archiv der Math. 13 (1962), 220-240. #155
Irrationale Potenzreihen.
Schwarz W. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 187-214. O
Ramanujan expansions of arithmetical functions.
Schwartz H. M. : Duke Math. J. 6 (1940), 48-65. xcv
A class of continued fractions.
Schwatt I. J. : Press of the University of Pennsilvania, 1924. O
An Introduction to the Operation with Series.
Schwatt I. J. : 2nd. Ed. Chelsea Publishing Co. 1961. O
An Introduction to the Operation with Series.
Schweiger F. : J. Number Theory 39 (1991), No. 2, 162-174. lxxxvi / cxi
Invariant measures for maps of continued fraction type.
Schweiger F. : Oxford University Press, 2000. O
Multidimensional Continued Fractions.
Schwerdtfeger H. : Bull. Amer. Math. Soc. 52 (1946), 307-309. xxxv
Moebius transformations and continued fractions.
Scott E. B. : Quart. Journal Pure & Appl. Math. 41 (1910), 141-???. lxvi
Logarithmic series.
Scott W. T. : Bull. Amer. Math. Soc. 46 (1940), 124-129. #156
Approximation to real irrationals by certain classes of rational fractions.
Scott W.T. & Wall H.S. : Annals Math. 41 (1940), 328-349. ii
Continued fractions expansions for arbitrary power series.
Scott W. T. & Wall H. S. : Trans. Amer. Math. Soc. 47 (1940), 155-172. ix
A convergence theorem for continued fractions.
Scott W. T. & Wall H. S. : Bull. Amer. Math. Soc. 47 (1941), 580-585. xxxv
Value regions for continued fractions.
Scott W.T. & Wall H.S. : Trans Ame. Math. Soc. 51 (2) (1942), 255-279. O
The transformation of series and sequences.
Scott W.T. & Wall H.S. : Amer. J. Math. 69 (1947), 551-561. ii
On the convergence and divergence of continued fractions.
Seall R. & Wetzel M. : Pacific J. Math. 9 (1959), 861-873. cxxxi
Some connections between continued fractions and convex sets.
Searle J. H. C. : Messenger of Math. 38 (1909), 138-144. lxv
The summation of certain series.
Sears D. B. : Proc. London Math. Soc. (2) 52 (1950), 14-35. cxxxix
Transformation theory of hypergeometric functions.
Sears D. B. : Proc. London Math. Soc. (2) 53 (1951), 138-157. xlvii2
On the transformation theory of hypergeometric function and cognate trigonometric series.
Sears D. B. : Proc. London Math. Soc. (2) 53 (1951), 158-180. xlvii2
On the transformation theory of basic hypergeometric functions.
Sears D. B. : Proc. London Math. Soc. (2) 53 (1951), 181-191. xlvii2
Transformation of basic hypergeometric series of any order.
Sears D. B. : Proc. London Math. Soc. (2) 53 (1951), 467-483. lxx
Transformations of basic hypergeometric functions of special type.
Sears D. B. : J. London Math. 27 (1952), 510-511. lxx
Two identities of Bailey.
Seidel L. : Habilschrift München 1846. lxxxviii
Untersuchungen über die konvergenz und divergenz der kettenbrüche.
Selberg A. : 1991 Springer Verlag Heildelberg. O
Collected Papers Volume II.
Selberg A. : Collected Papers Vol.1 (1989), 1-23. xxix & O
Über einige Arithmetische Identitäten.
Selberg A. & Chowla S. D. : J. Reine Angew. Math. 227 (1967), 86-110. xxviii & O
On Epstein´s zeta functions.
Selberg A. : Number Theory and Related Topics, Bombay (1988), T.I.F.R. - O.U.P. (1989), 203-216. O
Linear operators and automorphic forms.
Selmer E. S. : Nordisk Mat. Tidskr. 23 (1975), 55-58. lxxxi3
Bemerkninger til en ellipse-beregning av en ellipses omkrets.
Serret J. A. : 5th Ed. 1900 Gauthier Villard. e-B
Course de Calcul Différentiel et Integral : Tome I : Calcul Différentiel.
Serret J. A. : 5th Ed. 1900 Gauthier Villard e-B
Course de Calcul Differentiel et Integral : Tome II : Calcul Integral.
Shafer R. E. : Amer. Math. Monthly 94 (1987), No.2, 196-197. O
Comparative asymptotic of certain slowly divergent series, Problem 6495 [ 1985, 290 ], solution.
Shah N. M. & Wilson B. M. : Proc. Cambridge Philos. Soc. 19 (1919), 238-244. cxxvi
On an empirical formula connected with Goldbach´s theorem.
Shah M. : Matematichki Vesnik 6 (19) (34) (1982), 93-97. #158
On the study of Kampé de Fériet functions.
Shahidi F. : Ann. of Math. (2) 127 (1988), No.3, 547-584. ciii
On the Ramanujan conjecture and finiteness of poles for certain L-functions.
Shakarchi R. : Springer Verlag 1999. O
Problems and Solutions for Complex Analysis.
Shallit J. D. & Zikan K. : Amer. Math. Monthly 93 (1986), 402-403. #168
A theorem of Goldbach.
Shallit J. O. : J. Number Theory 11 (1979), 209-217. xx / civ
Simple continued fractions for some irrational numbers.
Shallit J. O. : J. Number Theory 14 (1982), 228-231. xx / civ
Simple continued fractions for some irrational numbers II.
Shallit J. O. : J. Number Theory 21 (1985), No.2, 128-134. cxlvii
On infinite products associated with sums of digits.
Shanker H. : J. London Math. Soc. 21 (1946), 194-198. cxliv
On the Hankel transform of generalized hypergeometric functions.
Shanks D. : J. Mathematical Phys. 34 (1955), 1-42. xxviii
Nonlinear transformations of divergent and slowly convergent sequences.
Shanks D. : J. Number Theory 14 (1982), 397-423. lxxxvii / cxviii
Dihedral quartic approximations and series for Pi.
Shanks D. & Wrench J. W. Jr. : (1962), 76-99. Pi : A source book, 326-349.
Calculations of Pi to 100.000 decimals.
Shapira Y. : J. Comput. & Appl. Math. 78 (1997), No.1, 3-8. #161
Algebraic interpretation of continued fractions.
Shapira Y. & Sidi A. & Israeli M. : J. Math. Anal. & Appl. 197 (1996), No.3 Feb 1, 767-773. xx / cxii
Optimal error bounds for convergents of a family of continued fractions.
Sharpe B. B. : The Fibonacci Quarterly 2 (1964), No.3, October, 215. O
The vanishing square.
Sharpe B. B. : The Fibonacci Quarterly 2 (1964), No.4, December, 317. O
A Fibonacci -- Prime number relation.
Shell D. L. : Proc. Amer. Math. Soc. 13 (1962), 678-681. lxxxiii
On the convergence of infinite exponentials.
Shen L. C. : J. Math. Analy. & Appl. 177 (1993), 299-307. lxxxvii / cxvi
On the logarithmic derivatives of a theta function and a fundamental identity of Ramanujan.
Shen L. C. : Proc. Amer. Math. Soc. 122 (1994), 1101-1114. #150
On the modular equation of degree 3.
Shen L. C. : Trans. Amer. Math. Soc. 345 (1994), 323-345. #169
On the addi formul of the theta funct. and a collec. of Lambert series pertaining to the modular equation of degree 5.
Shen L. C. : J. Number Theory 69 (1998), 125-134. lxxv / cxi / #150
On an identity of Ramanujan based on the hypergeometric series 2F1(1/2,2/3;1/2;x).
Shen L. C. : The Ramanujan Journal 3 (1999), No.4, December, 343-357. O
On the Products of Three Theta Functions.
Shepherdson J. C. : Collected Papers of Han Arnold Heilbronn, Wiley 1988, 39-43. O
Heilbronn in Bristol.
Sheppard W. F. : Proc. London Math. Soc. (2) 10 (1912), 469-478. lxv
Summation of the coefficients of some terminating hypergeometric series.
Shepperd S. W. : Celestial Mech. 42 (1987 / 1988), No.1-4, 91-106. xcviii
Naturally occurring continued fractions in the variation of Kepler´s equation.
Sherman J. : Bull. Amer. Math. Soc. 38 (1932), 191-192. cxl
On the numerators of the convergents of the Stieltjes continued fraction.
Sherman J. : Bull. Amer. Math. Soc. 39 (1933), 353. cxl
On the numerators of the convergents of the Stieltjes continued fraction.
Sherman J. : Trans. Amer. Math. Soc. 35 (1933), 64-87. lviii
On the numerators of the convergent of the Stieltjes continued fraction.
Shibata K. : Tohoku Math. J. 28 (1927), 69-71. cxl
On the sum of two simple continued fractions.
Shibata K. : Tohoku Math. J. 38 (1933), 212-218. cxl
On the continued fractions corresponding to the generalized Cauchy´s interpolation function.
Shimura G. : CBMS 93, American Mathematical Society 1997. O
Euler Products and Eisenstein Series.
Shiokawa I. : Acta Arithm. 50 (1988), No.1, 23-30. lvi2
Rational approximations of the Rogers-Ramanujan continued fractions.
Shiokawa I. & Tamura J. : Aequationes Math. 40 (1990), No.2-3, 154-167. lxxvi
Pade approximations to certain power series.
Shirai S. & Sato K. I : Journal of Number Theory 90 (2001), No.1, September, 130-142. m-01
Some Identities Involving Bernoulli and Stirling Numbers.
Shiu P. : Math. Comput. 64 (1995), No.211, 1307-1317. xcix / cxvii
Computation of continued fractions without input values.
Shohat J. : C. R. Acad. Sci. Paris 175 (1922), 394-397. xlviii2
Sur le développement de l´intégrale Int (a,b) p(y)/(x-y) dy en fraction continue.
Shohat J. : Rend. del Circ. Mat. di Palermo 47 (1923), 25-46. cxl
Sur le développement de l´intégrale Int (a,b) p(y)/(x-y) dy en fraction continue et sur les polynômes de Tchebych.
Shohat J. : Bull. Amer. Math. Soc. 33 (1927), 427-432. cxl
A simple method for normalizing Tchebycheff polynom. and evaluating the elements of the allied continued Fract.
Shohat J. : C. R. Acad. Sci. Paris 191 (1930), 474-475. cxxxix
Sur les fractions continues algebriques.
Shohat J. : C. R. Acad. Sci. Paris 191 (1930), 988-990. cxxxix
Sur une classe étendue de fractions continues et sur les polynômes de Tchebycheff correspondants.
Shohat J. : Amer. J. Math. 54 (1932), 79-84. cxxxix
On the Stieltjes continued fraction.
Shohat J. : Bull. Amer. Math. Soc. 39 (1933), 31. cxl
On the continued fractions associated with, and corresponding to, Int (a,b) p(y)/(x-y) dy.
Shohat J. : Amer. J. Math. 55 (1933), 218-230. cxxxix
On the continued fraction associated with and corresponding to the integral Int. (a,b) (P(y)/(x-y)) dy.
Shohat J. : Amer. Math. Monthly 40 (1933), 226-229. cxl
On a certain transformation of infinite series.
Shohat J. A. & Tamarkin J. D. : Math. Surv. No. 1 , American Math. Society 1943-1950. O
The Problem of Moments.
Shohat T. N. & Sherman J. : Proc. Nat. Acad. Sci. U.S.A. 18 (1932), 283-287. cxli
On the numerators of the continued fraction l1/x1-c1 - l2/x2-c2 - ...
Shonhiwa T. : The Fibonacci Quarterly 37 (1999), No.1, February, 67-76. O
A Generalization of the Euler and Jordan Totient Functions.
Shonhiwa T. : The Fibonacci Quarterly 37 (1999), No.3, August, 233-239. O
Generalized Bracket Function Inverse Pairs.
Shorey T. N. : J. Indian Math. Soc. (N.S.) 52 (1987), 147-157, (1988). xxxiii
Ramanujan and binary recursive sequences.
Shorey T. N. : Number Theory and Related Topics, Bombay (1988), T.I.F.R. - O.U.P. (1989), 217-229. O
Some exponential Diophantine equations (II).
Shorey T. N. & Srinivasan S. : Bull. London Math. Soc. 19 (1987), No.2, 135-138. xcix / cxvii
Metrical results on square free divisors of convergents of continued fractions.
Short L. : Internat. J. Math. Ed. Sci. Tech. 23 (1992), No.5, 771-784. xxiii
Some sequences arising from continued fraction expansions.
Shuckla H. S. : Ganita 7 (1956), 113-121. cxliv
Certain transformations of nearly-poised bilateral hypergeometric functions.
Shuckla H. S. : Proc. Glasgow Math. Assoc. 3 (1957), 141-144. cxlv
On certain relations between products of bilateral hypergeometric series.
Shuckla H. S. : Math. Zeitschr. 69 (1958), 195-201. cxlv
On certain transformations of nearly-poised basic bilateral hypergeometric series of the type MphiM.
Shuckla H. S. : Ganita 8 (1958), 195-201. cxliv
Certain transformations of nearly-poised bilateral hypergeometric series of special type.
Shuckla H. S. : Canad. J. Math. 10 (1958), ???-???. cxlv
Certain transformations of nearly-poised basic bilateral hypergeometric series of special type.
Shuckla H. S. : Quart. J. Math. (Oxford) (2) 10 (1959), 48-59. cxlv
Certain theorems of Cayley and Orr type for bilateral hypergeometric series.
Shuckla H. S. : Proc. Cambridge Philos. Soc. 55 (1960), 262-266. cxliv
A note on the sums of certain bilateral hypergeometric series.
Sidhu R. S. : Mathematics Student 47 (1979), No.2-4, 329-333, (1985). xix / xxxiv
On the limit of a special continued fraction.
Sidi A. : Math. Of Comput 35 (1980), 833-850. #170
Analysis of convergence of the T-transformation for power series.
Sidorov Y. V. & Fedoryuk M. V. & Shabunin M. I. : Mir Moscow 1975. O
Lectures on the Theory of Functions of a Complex Variable.
Siebeck H. : J. Reine Angew. Math. 33 (1846), 68-70. lxvi
Über periodische kettenbrüche.
Siemaszko W. : J. Comp. Appl. Math. 6 (1980), 121-125. viii
Branched continued fractions for double power series.
Siemaszko W. : J. Comp. Appl. Math. 9 (1983), 137-153. xxii
Thiele-type branched continued fractions for two-variable functions.
Sierpinski W. : Rend. Circ. Mat. Palermo (2) 10 (1961), 229-232. cix
Sur la somme de chiffres de nombres premiers.
Sierpinski W. : Oeuvres Choisies : Tome 1 (1974), 236-254. #163
Sur Quelques Algorithmes pour Développer les Nombres Réels en Séries.
Sierpinski W. : Oeuvres Choisies : Tome ? : (1974), ???-???. #163
Sur un Algorithme pour Developper les Nombres Réels en Séries Rapidement Convergentes.
Siler K. : The Fibonacci Qaurterly 1 (1963), No.3, October, 67-69. O
Fibonacci summations.
Silverman L. L. : University of Missouri Studies, Math. Series 1 (1913), No.1. lxxxix / e-B
On the definition of the sum of a divergent series.
Simpson T. : Phil. Trans. Royal Soc. London 50 (1759), 757-769. xcii-2
The invention of a general method for determining the sum of every second, third, fourth, or fifth, etc. term of a S.
Singal M. K. : Ganita-Sandesh 1 (1987), No.1-2, 1-6. xci
Srinivasa Ramanujan --- the man.
Singer D. W. : The Ramanujan Journal 3 (1999), No.1, 37-43. O
A p-Analogue of the q-Saalschütz Identity.
Singh A. P. : Ramanujan Inter. Symp. on Analysis, Pune 1987, ed. N.K. Thakare, Macmillan (1989), 335-345. O
On the equality of orders of two meromorphic functions.
Singh D. & Thron W. J. : Proc. Amer. Math. Soc. 7 (1956), 277-282. xxxv
A family of best twin convergence regions for continued fractions.
Singh D. & Thron W. J. : Pacific J. Math. 6 (1956), 135-143. lix
On the number of singular points, located on the unit circle of certain function represented by C-fractions.
Singh O. V. & Bhatt R. C. : J. Math. Phys. Sci. 25 (1991), No.1, 23-27. xci
Summation formulae concerning multiple Gaussian hypergeometric series.
Singh R. J. & Verma D. P. : Yokohama Math. J. 31 (1983), 1-4. #165
Some series involving Riemann zeta function.
Singh S. N. : Mathematics Student 52 (1984), No.1-4, 137-140. xxxiii
On certain q-hypergeometric series.
Singh S. N. : Mathematics Student 52 (1984), No.1-4, 197-200, (1990). xix
Certain results involving continued fractions.
Singh S. N. : Proc. Nat. Symp. Special Functions & Appl. , Gorakhpur 1986, 163-171. O
On unification and extension of Bernoulli, Euler and Eulerian polynomials.
Singh S.N.: Math. Soc. [Banaras-Hindu-University-The Mathematical Society] 3 (1987),119-123. xxiv
On q-series and continued fractions.
Singh S. N. : Mathematics Student 56 (1988), No.1-4, 81-84, (1989). xix / ?
On q-hypergeometric series and continued fractions.
Singh S. N. : Mathematics Student 56 (1988), No.1-4, 91-96, (1989). xix / ?
Basic hypergeometric series and continued fractions.
Singh S. N. : Mathematics Student 56 (1988), No.1-4, 227-230. O
On q-series. expansions.
Singh S. N. : Ramanujan Inter. Symp. on Analysis, Pune 1987, ed. N.K. Thakare, Macmillan (1989), 301-309. O
Certain transformations of abnormal basic hypergeometric functions.
Singh S. N. : Radha Publications India (1993). O
Generalized Hypergeometric Functions.
Singh S. N. : J. Indian Math. Soc. (N.S.) 62 (1996), No.1-4, 113-120. #149
Certain partition theorems of Rogers-Ramanujan type.
Singh U. B. : Ganita 41 (1990), 61-68. cv
Certain generalised hypergeometric identities of the Schur-Gleissberg type.
Singh U. B. : Quart. J. Math. (Oxford) 45 (1994), 111-116. lxxx
A note on a transformation of Bailey.
Singh U. B. : Proc. Indian Acad. Sci. ( Math. Sci.) 105 (1995), No.1, 41-51. xvii
A bibasic hypergeometric transformation associated with combinatorial identities of the Rogers-Ramanujan ident.
Singh U. B. : Math. Balkanica (N.S.) 10 (1996), No.2-3, 271-278. #149
On a bibasic transformation formula.
Singh U. B. : J. Math. Anal. & Appl. 198 (1996), No.3, 671-684. #151
Certain bibasic hypergeometric transformation formulae and their application to Roger-Ramanujan identities.
Singh U. B. : J. Math. Anal. & Appl. 201 (1996), No.1, 44-56. #151
Certain bibasic hypergeometric transformations and their applications.
Singh U. P. & Denis R. Y. (Eds.) : Dominant Publishing. India 2001. O
Special Functions and their Applications.
Singh V. N. : Proc. Cambridge Philos. Soc. 52 (1956), 756-758. lxxvii
A note on the partial sums of certain basic bilateral hypergeometric series.
Singh V. N. : Pacific J. Math. 7 (1957), 1011-1014. viii
Certain generalized hypergeometric identities of the Rogers-Ramanujan type.
Singh V. N. : Pacific J. Math. 7 (1957), 1691-1699. lxix
Certain generalized hypergeometric identities of the Rogers-Ramanujan type (II).
Singh V. N. : Ganita 8 (2) (1957), 71-79. lxxvii
A further note on the partial sums of certain bilateral hypergeometric series.
Singh V. N. : J. London Math. Soc. 34 (1959), 15-22. lxx
The basic analogues of identities of the Cayley-Orr type.
Singh V. N. : Pacific J. Math. 9 (1959), 271-275. cviii
A note on the computation of Alder´s polynomials.
Singh V. N. & Rai P. : Ganita 47 (1996), No.1, 35-43. cv-3
Two general basic hypergeometric identities.
Singh V. & Thron W.J. : Proc. Amer. Math. Soc. 7 (1956), 277-282. xlvi
A family of best twing convergence regions for continued fractions.
Sitaramachandra R. R. : J. Number Theory 25 (1987), No.1, 1 - 19. xvi
A formula of S. Ramanujan.
Sitaramachandra R. R. : Indian J. Pure & Appl. Math. 18 (1987), No.8, 678-684. xvii
Some formulae of S. Ramanujan.
Sitaramachandra R. R. : J. Indian Math. Soc. New. Ser. 57 (1991), No.1-4, 95-99. xci
Some formulae of S. Ramanujan IV.
Sitaramachandrarao R. & Siva Rama Sarma A.: Indian J. Pure Appl. Math. 10 (1979),602-607. tf1
Some identities involving the Riemann zeta function.
Sitaramachandrarao R. & Siva Rama Sarma A.: Indian J.Pure Appl Math 11 (1980),1139-1140. tf1
Two identities due to Ramanujan.
Sitaramachandrarao R. & Subbarao M.V. : Pacific J. Math. 113 (1984), 471-479. lii
Transformation formulae for multiple series.
Sitaramaiah V. & Subbarao M. V. : Number Theory, Madras (1987), Lect. Notes Math. 1395 (1989), 201-234. O
Some asymptotic formulae involving powers of arithmetic functions.
Sivaramakrishnan R. : Mathematics Student 43 (1975), No.3-4, 275-280, (1980). xix
The role of Moebius function in certain identities involving Ramanujan sums.
Sizer W. S. : Math. Magazine 59 (1986), 23-27. liii
Continued roots.
Skewes S. : Proc. ? J.? London Math. Soc. 8 (1933), 277-283. lxvi / ?
On the difference Pi(x)-Li(x) (I).
Skibinsky M. : J. Math. Anal. & Appl. 120 (1986), No.1, 95-118. xcix / cxvii
Principal representations and canonical moment sequences for distributions on an interval.
Skorobogat´ko V. Ya. : Lect. Notes Math. (Rational Approx.), 1237 (1987), 46-50. cxxxi
Branched continued fractions and convergence acceleration problems.
Slater L. J. : Proc. London Math. Soc. 53 (1951), 460-475. ii
A new proof of the Rogers´s transformations of infinite series.
Slater L. J. : Proc. London Math. Soc. 54 (1951/52), 147-167 ii.
Further identities of the Rogers-Ramanujan type.
Slater L. J. : Quart. J. Math. (Oxford), (2) 3 (1952), 73-80. lxxii
General transformations of bilateral series.
Slater L. J. : Quart. J. Math. (Oxford), (2) 3 (1952), 206-216. lxxii
Integrals representing general hypergeometric transformations.
Slater L. J. : Proc. Cambridge Phil. Soc. 48 (1952), 578-582. lxx
An integral og hypergeometric type.
Slater L. J. : Quart. J. Math. (Oxford) (2) 4 (1953), 127-131. cxlv
Two double hypergeometric integrals.
Slater L. J. : Proc. Cambridge Phil. Soc. 50 (1954), 394-403. lxx
Some new results on equivalente products.
Slater L. J. : Proc. Cambridge Phil. Soc. 50 (1954), 403-413. lxx
The evaluation of the basic confluent hypergeometric functions.
Slater L. J. : Math. Gazette 38 (1954), 127-128. cxliv
A note on equivalent product theorems.
Slater L. J. : Proc. Cambridge Philos. Soc. 50 (1954), 628-631. cxliv
Expansions of generalized Whittaker functions.
Slater L. J. : J. London Math. Soc. 30 (1955), 351-360. lxix
Some basic hypergeometric transformations.
Slater L. J. : Mathematical Gazette 39 (1955), 217-218. cxl
A note on the partial sum of a certain hypergeometric series.
Slater L. J. : Proc. Amer. Math. Soc. 6 (1955), 226-231. cxliv
Integrals for asymptotic expansions of hypergeometric series.
Salter L. J. : Proc. Cambridge Philos. Soc. 51 (1955), 288-296. cxliv
The integration of hypergeometric functions.
Slater L. J. : Proc. Cambridge Philos. Soc. 51 (1955), 577-589. cxliv
Hypergeometric Mellin transforms.
Slater L. J. : Cambridge University Press 1960. O
Confluent Hypergeometric Functions.
Slater L. J. : J. London Math. Soc. 37 (1962), 504-512. lxi
Wilfrid Norman Bailey (obituary).
Slater L. J. & Lakin A. : Proc. Edinburgh Math. Soc. 9 (1956), 116-121. lxxiv
Two proofs of the 6phi6 summation theorem.
Smail L. L. : University of Oregon Publ. 1925. O
History and Synopsis of the Theory of Summable Inifnite Processes.
Smirnov V. I. & Lebedev N. A. : 1968 The MIT Press. O
Functions of a Complex Variable, Constructive Theory.
Smith H. J. S. : Messenger of Mathematics (2) 6 (1877), 1-14. xliv
Note on continued fractions.
Smith M. G. : D. Van Nostrand Co. Ltd. London 1966. O
Laplace Transform Theory.
Smith R. A. : IEEE Trans. Comp. 44 (11), (Nov. 1995), 1348-1351. xviii / ?
A continued fraction analysis of trigonometric argument reduction.
Smith W. A. : Prentice-Hall HispanoAmericana, 1986-1988. O
Análisis Numérico.
Smithies F. : Cambridge University Press, 1997/2000. O
Cauchy and the Creation of Compex Function Theory.
Smits T. H. M. : Indagationes Mathematicae (N.S.) 2 (1991), 359-365. #174
Conditional recurrent sequences.
Smyth C. J. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 315-321. O
An inequality for polynomials.
Snapper E. : Amer. Math. Monthly 103 (1996), No.9, 793-794. O
Expressing primes as quadratic forms of integers.
Schneider C. : Séminaire Lotharingien de Combinatoire 43 (1999) S43b. 10pp. F.ps
An Implementation of Karr´s Summation Algorithm in Mathematica.
Snow D. R. : Aequationes Math. 18 (1978), 269-285. liii
Formulas for sums of powers of integers by functional equations.
Sohncke L. A. : J. Reine Angew. Math. 12 (1834), 178- ???. xcvii
Aequationes modulares pro transforma. functionum ellipticarum et undecimi et decimitertii et decimiseptimi ordi.
Sohncke L. A. : J. Reine Angew. Math. 16 (1837), 97-130. xcvii
Aequationes modulares pro transformatione functionum ellipticarum.
Söhngen H. : Math. Annalen 111 (1935), 302-328. #176
Zur Komplexen Multiplication.
Solé P. : The Ramanujan Journal 1 (1997), No.2, 211-220. O
Sato-Tate Conjectures and Chebyshev Polynomials.
Somasundaram D. : Mathematics Student 52 (1984), No.1-4, 71-77, (1990). xix
Some trigonometric formulae of Srinivasa Ramanujan in Notebook 3.
Somasundaram D. : Mathematics Student 55 (1987), No.2-4, 175-176, (1989). xix / ?
A divisor problem of Srinivasa Ramanujan in Notebook 3.
Somasundaram D. : Mathematics Student 56 (1988), No.1-4, 122, (1989). xix / ?
On a formula of Ramanujan.
Somasundaram D. : New Zealand Math. Mag. 25 (1988), No.3, 30-32. xliii3
Some interesting formulae of Ramanujan.
Somasundaram D. : Mathematics Student 59 (1991), No.1-4, 161-164. xix / O ?
A formula of Srinivasa Ramanujan in Notebook 3.
Son S. H. :5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 323-332. O
Some integrals of theta functions in Ramanujan´s lost notebook.
Son S. H. : Proc. Amer. Math. Soc. 126 (1998), No.10, 2895-2902. cxi / cxxi
Some theta function identities related to the Rogers-Ramanujan continued fraction.
Son S. H. : The Ramanujan Journal 2 (1998), No.3, 303-316. O
Cubic Identities of Theta Functions.
Soni K. & Soni R. P. : Proc. Amer. Math. Soc. 114 (1992), No.4, 909-918. cxlvi
An approximation connected with the exponential function.
Sorsdal E. & Waadeland H. : Proc. Anal. T. Cont. Fractions II 1985, Lect. Notes Math. 1199 (1986), 285-293. O
On the convergence of a certain class of continued fractions K(An/1) with An--- inf.
Spain B. : 1969 D. Van Nostrand Co. Ltd. O
Ordinary Differential Equations.
Spielberg K. : J. of the Assoc. of Comput. Machinery 8 (1961), 613-627. lxvii
Representation of power series in terms of polynomials, rational approximation and continued fractions.
Spielberg K. : Math. Comp. (1961), 409-417. xli / cxiii
Efficient continued fraction approximations to elements functions.
Spielberg K. : Math. Comp. (1962), 205-217. xli / cxiii
Polynomial and continued fraction approximations for logarithmic functions.
Spiess J. : Math. Comp. 55 (1990), 839-863. cxxxix
???.
Spilker J. : Arch. Math. (basel) 66 (1996), No.4, 292-298. cxlviii
Ramanujan Koeffizienten und Hankel-Matrizen.
Spitzer S. : Archiv der Math. und Phys. 30 (1858), 81-82. xc
Darstellung der undenlichen kettenb. x + 1/x+1+ 1/x+2+ !7x+3+ ... in geschlossener form, nebst anderen bemerk.
Spitzer S. : Archiv der Math. und Phys. 30 (1858), 331-334. xc
Darstellung der unendlichen kettenbrüchs 2x + 1 + 1/2x+3+ 1/2x+5+ 1/ 2x+7+ ... in geschlosserner form.
Spitzer S. : Archiv der Mth. und Phys. 33 (1859), 418-420. xc
Note über eine kettenbrüche.
Spitzer S. : Archiv der Math. und Phys. 33 (1859), 474-475. xc
Darstellung des unendlichen kettenbr. Phy(x)= n(2x+1) + m/n(2x+3)+ m/n(2x+5)+ ... in geschlossener form.
Spivak M. : Third Ed. 1967-80-94, Publish or Perish Inc. O
Calculus.
Srikantia B. M. : Amer. Math. Monthly 35 (1928), 239-241. xlv
Srinivasa Ramanujan.
Srinivasan V. K. : Proc. Ramanujan Cent. Inte. Conf., Annamalainagar 1987, Ramanujan M. S. (1988), 159-160. O
Some open problems in p-adic analysis.
Sri-Ranga A. : Proc. Analytic Theory of Continued Fractions II 1985, Lect. Notes Math. 1199 (1986), 269-284. O
J-fractions and strong moment problems.
Sri-Ranga A. : J. Computational 19 (1987), No.3, 331-342. xxvi
Convergence properties of a class of J-fractions.
Sri-Ranga A. : SIAM J. Math. Anal. 21 (1990), No.5, 1335-1348. lxxxvii / cxviii
On a recurrence formula associated with strong distributions.
Srivastava A. K. : Proc. Indian Acad. Sci. Math. Sci. 107 (1997), No.1, 1-12. cv-3
On partial sums of mock theta functions of order three.
Srivastava B. : Tohoku Math. J. 42 (1990), 119-125. lxxxvi / cxvi
Partial theta expansions.
Srivastava B. : Riv. Mat. Univ. Parma (4) 17 (1991), 199-206. xcvii
A continued fraction and some identities associated with Ramanujan.
Srivastava B. : Ganita-Sandesh 11 (1997), No.1, 21-26. cv-3
Some new identities of the Rogers-Ramanujan type.
Srivastava B. : The Ramanujan Journal 4 (2000), No.3, September, 267-276. O
Identities Involving Partial Mock Theta Function of Order Five.
Srivastava H. M. : Comment. Math. Univ. St. Paul. 21 (1972), fasc. 1 , 73-99. #158
Certain formulas involving Appell functions.
Srivastava H. M. : Rend. del Seminario Mat. dell´Univ. Padova 75 (1986), 15-24. #149
A class of finite q-series.
Srivastava H. M. : Rend. del Seminario Mat. dell´Univ. Padova 76 (1986), 37-43. cxxxvi
A class of finite q-series. II.
Srivastava H. M. : Rend. del Seminario Mat. dell´Univ. Padova 76 (1986), 99-117. cxxxvi
A class of finite q-series. III.
Srivastava H. M. : Annali di Mat. Pura ed Appl. (4) 144 (1986), 49-56. cxxxii
Some transformations and reduction formulas for multiple q-hypergeometric series.
Srivastava H. M. : Indian J. Math. 29 (1987), No.1, 91-100. xliii3 / ?
Some formulas of Srinivasa Ramanujan involving products of hypergeometric functions.
Srivastava H. M. : Proc. Japan Acad. Ser. A 63 (1987), No.5, 143-145. lvi2
A note on a generalization of a q-series transformation of Ramanujan.
Srivastava H. M. : Rivista Mat. Univ. Parma (4) 14 (1988), 1-23. #166
A unified presentation of certain classes of series of the Riemann zeta function.
Srivastava H. M. : Proc. Japan Acad. Sr. A Math.-Sci. 65 (1989), No.1, 8-11. cxxxv
Sums of certain class of q-series.
Srivastava H. M. : Ramanujan Inte. Symp. on Anal. , Pune 1987, ed. N.K. Thakare, Macmillan (1989), 139-149. O
Some recent results on q-series and q-polynomials.
Srivastava H. M. : Indian J. Math. 32 (1990), No.1, 109-114. cv
Sum of a certain triple q-hypergeometric series.
Srivastava H. M. : Studies in Appl. Math. 86 (1992), No.1, 79-86. cxxxiii
A simple algorithm for the evaluation of a class of generalized hypergeometric series.
Srivastava H. M. : Serdica Bulg. Math. Pub. 19 (1993), No.2-3, 191-197. ciii
Srinivasa Ramanujan and generalized basic hypergeometric functions.
Srivastava H. M. : J. Math. Anal. & Appl. 251 (2000), No.2, November, 752-769. #167
Some families of generating functions associated with the Stirling numbers of second kind.
Srivastava H. M. & Choi J. : 2001 Kluwer Acad. Publ. O
Series Associated with the Zeta and Related Functions.
Srivastava H. M. & Daoust M. C. : Indag. Math. 31 (1969), 449-457. cxl
Certain generalized Neumann expansions associated with the Kampe de Feriet function.
Srivastava H. M. & Daoust M. C. : Mathematische Nachr. 53 (1972), 151-159. cxl
A note on the convergence of Kampe de Feriet´s double hypergeometric series.
Srivastava H. M. & Gupta K. C. & Goyal S. P. : South Asia Publishers New Delhi, 1982. O
The H-Function of one and two Variables with Applications.
Srivastava H. M. & Panda R. : J. London Math. Soc. (2) 12 (1976), 419-425. #155
An integral representation for the product of two Jacobi polynomials.
Srivastava H. M. & Pathan-Yasmeen M. A. : Rendic. Seminario Mat. Univ. Padova 82 (1989), 1-7. cxxxiv
Some reduction formulas for multiple hypergeometric series.
Stade E. : Amer. J. Math. 115 (1993), No.2, 371-387. cxxxiv
Hypergeometric series and Euler factors at infinity for L-functions on GL3.
Stade E. : Trans. Amer. Math. Soc. 336 (1993), No.1, 253-264. cxxxiv
Whittaker functions and 4f3 hypergeometric series.
Stahl H. : Lect. Notes Math. (Rational Approx.), 1237 (1987), 79-124. cxxxi
Three different approach to a proof of convergence for Padé approximants.
Stallings W. : 2nd. Ed. 1999 Prentice-Hall. O
Cryptography and Network Security, Principles and Practice.
Stanger A. D. : Electronic Journal of Combinatorial Number Theory 2 (2002), #A09, 9pp. pdf.pri
A Modular Identity for the Ramanujan Identity Modulo 35.
Stanley G. K. : J. London Math. Soc. 3 (1928), 232-237. xlii
Two assertions made by Ramanujan.
Stanley G. K. : J. London Math. Soc. 4 (1929), 32. xlii
Corrigenda.
Stanley R. P. : European J. Combinatorics 1 (1980), 175-188. eujc1
Differentiably finite power series.
Stanley R. P. : G. Labelle - P. Leroux (eds.) Springer Verlag, Lectures Notes Math. 1234 (1986), 285-293. #168
A Baker´s dozen of conjectures concerning plane partitions.
Stanley R. P. : J. Combin. Theory Ser. A 43 (1986), 103-113. #172
Symmetries of plane partitions.
Stanley R. P. : J. Combin. Theory Ser. A 44 (1987), 310. #172
Erratum "Symmetries of plane partitions".
Stanton D. : SIAM J. Math. Anal. 17 (1986), 1454-1460. #161
Sign variations of the MacDonald identities.
Stanton D. : Ramanujan Revisited, Proc. Centenary Conference Univ. Illinois (1987), AP (1988), 525-536. O
Recent results for the q-Lagrange inversion formula.
Stanton D. : Proc. on q-series & partitions, March 7-11 1988, IMA Vol. 18, Springer (1989), 139-149. O
An elementary approach to the Macdonald identities.
Stanton D. (ed.) : The IMA Volumes in Math. & its Appl. Vol. 18, Springer Verlag (1989), 212 pp. O
q-series and partitions.
Stanton D. : The Ramanujan Journal 2 (1998), No.4, 499-509. O
A Hypergeometric Hierarchy for the Andrews Evaluations.
Starcher G. W. : Amer. J. Math. 53 (1930), 801-816. cvi
On identities arising from solutions of q-difference equations and some interpretations in number theory.
Stark E. L. : Math. Mag. 47 (1974), 197-202. lviii
The series (k=1,inf.) Sum (k^(-s)), s= 2,3,4,...
Stark H. : Adv. Math. 7 (1971), 301-343. lxvi
Valies of L-functions at s=1 (I). L-functions for quadratic forms.
Stark H. M. : Comput. in Number Theory A.O.L. Atkin . B.J. Birch (eds.) : Academic Press (1971), 21-35. cxxxii
An explanation of some exotic continued fractions found by Brillhart.
Stark H. M. : Adv. Math. 35 (1980), 197-235. xcvii
L-functions at s=1 IV : First derivatives at s=0.
Stark H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 571-575. O
The Papers on Class Numbers of Imaginary Quadratic Fields.
Stark H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 586-587. O
The Papers of Euclid´s Algorithm.
Stark H. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 588. O
The Papers on Zeta- and l. Functions.
State E. Y. : Proc. Amer. Math. Soc. 60 (1976), 134-138. #173
A one-sided summatory function.
Stef A. & Tenenbaum G. : The Ramanujan Journal 2 (1998), No.1/2, 167-184. O
Entiers Lexicographiques.
Steffensen J. F. : 1927 / 1950 Chelsea Publishing Co. O
Interpolation.
Steinhaus H. : J. London Math. Soc. 4 (1929), 86-88. xcv
A divergent trigonometrical series.
Steining J. : Arch. Math. (Basel) 59 (1992), No.1, 21-23. xxii
A proof of Lagrange´s theorem on periodic continued fraction.
Stembridge J. R. : Trans. Amer. Math. Soc. 319 (1990), No.2, 469-498. xvi
Hall-Littlewood functions, plane partitions, and the Rogers-Ramanujan identities.
Stembridge J. R. : Adv. In Math. 83 (1990), 96-131. #172
Nonintersecting paths, pfaffians and plane partitions.
Stembridge J. R. : Adv. In Math. 111 (1995), 227-245. #172
The enumeration of totally symmetric plane partitions.
Stephan E.P. & Suri M. : Ramanujan Inter. Symp. Anal., Pune 1987, ed. Thakare, Macmillan (1989),467- 481. O
Integral equation methods for screen and crack problems.
Stephens A. J. & Williams H. C. : Math. Comput. 50 (1988), No.182, 619-632. cii / cxii
Some computational results on a problem concerning powerful numbers.
Stern M. A. : J. Reine Angew. Math. 10 (1833), 1-22. lxvi
Theorie der kettenbrüche und ihre anwendung.
Stern M. A. : J. Reine Angew. Math. 10 (1833), 154-166. lxvi
Theorie der kettenbrüche und ihre anwendung. (Cont.)
Stern M. A. : J. Reine Angew. Math. 10 (1833), 241-274. lxvi
Theorie der kettenbrüche und ihre anwendung. (Cont.)
Stern M. A. : J. Reine Angew. Math. 10 (1833), 364-376. lxvi
Theorie der kettenbrüche und ihre anwendung. (Cont.)
Stern M. A. : J. Reine Angew. Math. 11 (1834), 33-66. lxvi
Theorie der kettenbrüche und ihre anwendung. (Cont.)
Stern M. A. : J. Reine Angew. Math. 11 (1834), 142-168. lxvi
Theorie der kettenbrüche und ihre anwendung. (Cont.)
Stern M. A. : J. Reine Angew. Math. 11 (1834), 277-306. lxvi
Theorie der kettenbrüche und ihre anwendung. (Cont.)
Stern M. A. : J. Reine Angew. Math. 11 (1834), 311-350. lxvi
Theorie der kettenbrüchen und ihre anwendung. (Cont.)
Stern M. A. : J. Reine Angew. Math. 37 (1848), 255-272. lviii
Über die kennzeichen der konvergenz eines kettenbruchs.
Stern M. A. : J. Reine Angew. Math. 53 (1857), 1-102. O
Zur theorie der periodische kettenbrüche.
Stern M. D. : Math. Gazette ?? (1985), 218-219. Pi : A source book, 460-461.
A remarkable approximation to Pi.
Stewart C. L. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 375-386. O
Thue equations and elliptic curves.
Stewart I. : Rev. Integration Temas Mat. 8 (1990), No.2, 129-131. civ
The conjectures of Ramanujan about false theta functions.
Stickel E. U. : Analysis 5 (1985), 163-173. cxxvii
Fast computation of matrix exponential and logarithms.
Stihl Th. : Math. Annalen 268 (1984), 21-41. #158
Artihmetische Eigenschaften spezieller Heineschen Reihen.
Stillwell J. : Amer. Math. Monthly 102 No.9 (1995), 831-837. O
Elliptic Curves, ( The Evolution of... ).
Stirling J. : 1730 London. f
Methodus Differentialis : Sive Tractatus de Summatione et Interpolatione serierum infinitarum.
Stoïlow S. : 1938 Gauthier-Villars. O
Leçons sur les Principes Topologiques de la Theorie des Fonctions Analytiques.
Stokes A. N. : Numer. Math. 42 (1983), 237-245. xxix / cx / cxxiv
Efficient stable way to calculate continued fraction coefficients from some series.
Stokman J. V. : The Ramanujan Journal 1 (1997), No.3, 275-297. O
Multivariated BC Type Askey-Wilson Polynomials with Partly Discrete Orthogonal Measure.
Stolarsky K. B. : Math. Magazine 48 (1975), 87-92. cxxiii
Generalizations of the logarithmic mean.
Stolarsky K. B. : Canad Math. Bull. 19 (1976), 473-482. lix / ?
Beatty sequences, continued fractions and certain shift operators.
Stolarsky K. B. : Amer. Math. Monthly 87 (1980), 545-548. cxxvii
The power and generalized logarithmic means.
Stolarsky K. B. : The Rademacher Legacy to Math., Contemporary Math. A.M.S. 166 (1994), 359-369. O
Redemacher, calculus of variations, inequalities, and relative error.
Stolarsky K. B. : The Ramanujan Journal 2 (1998), No.4, 441-448. O
Fourth Order Linearly Recurrent Wythoff Pairs.
Straight H. J. & Dowds R. : Amer. Math. Monthly 91 (1984), No.6, 365-367. Ó
An Alternate Method for Finding the Partial Fraction Decomposition of a Rational Function.
Strazdins I. : The Fibonacci Quaterly 37 (1999), No.3, August, 240-247. O
Partial Fibonacci and Lucas Numbers.
Strazdins I. : The Fibonacci Quarterly 37 (1999), No.4, November, 361-366. O
Sieve formulas for the generalized Fibonacci and Lucas numbers.
Strehl V. : Discrete Mathematics 99 (1992), 321-340. cv-3
Identities of Rothe-Abel-Schläfli-Hurwitz type.
Stridsberg E. : Acta Mathematica 33 (1910), 233-292. cxxix
Sur quelques propriétés arithmetiques de certaines fonctions transcendantes.
Stridsberg E. : Arkiv Matem. Phys. Astro. 6 (1911), No.35, ???-???. xlviii2
Sur le théorème d´Eisenstein et l´equation différentielle de Gauss.
Stromberg K. R. : 1981 Wadsworth. O
An Introduction to Classical Real Analysis.
Stroeker R. J. : Amer. Math. Monthly 91 (1984), No.7, 385-392. Ó
How to solve a Diophantine Equation - A Number-Theoretic Excursion.
Stubban J. O. : Nordosk Mat. Tidskr. 23 (1975), 51-54. lxxxi3
Fergestads formel for tilnaermet beregning av en ellipses omkrets.
Stuerwald R. : Math. Zeitschr. 52 (1950), 686-697. lxiii
Über die perioden regelmässigen kettenbrüche für quadratwurzeln.
Subbarao M. V. : Math. Student (1950), 17-18. #176
Congruence properties of sigma(n).
Subbarao M. : Amer. Math. Monthly 73 (1966), 851-854. #165
Some remarks on the partition function.
Subbarao M. V. : Proc. Amer. Math. Soc. 27 (1971), 449-450. cvi
On a partition theorem of MacMahon-Andrews.
Subbarao M. V. : Pacific J. Math. 120 (1985), 431-435. xxxix2 / lxxxii
Some Rogers-Ramanujan type partitions theorems.
Subbarao M. V. & Sitaramachandrarao R. : Pacific J. Math. 119 (1985), 245-255. #158
On some infinite series of L. J. Mordell and their analogues.
Subbarao M. V. & Vidyasagar M. : Proc. Amer. Math. Soc. 26 (1970), 23-27. lxxiv
On Watson´s quintuple product identity.
Subbarao M. V. & Agarwal A. K. : Canad. Math. Bull. 31 (1988), No.2, 210-214. lvi
Further theorems of the Rogers-Ramanujan type theorems.
Subramaniam K. B. : The Fibonacci Quarterly 37 (1999), No.3, August, 194-197. O
Almost Square Triangular Numbers.
Sudler C. : Proc. Edinburgh Math. Soc. 15 (1966), 67-71. lxxiv
Two enumerative proofs of an identity of Jacobi.
Sukla I. : Ramanujan Inter. Symposium on Analysis, Pune 1987, ed. N.K. Thakare, Macmillan (1988), 293-300. O
On Dirichlet convolution method.
Suryanarayana D. : Mathematics Student 42 (1974), 141-143. #168
Sums of the Riemann zeta function.
Suslov S. K. : Russian Mathematical Surveys 44 (1993), 227-278. #167
The Theory of difference analogues of special functions of hypergeometric type.
Suslov S. K. : The Ramanujan Journal 2 (1998), No.3, 351-369. O
Multiparameter Ramanujan-Type q-Beta Integrals.
Suslov S. K. : The Ramanujan Journal 5 (2001), No.2, June, 183-218. O
Some Orthogonal Very-Well-Poied 8phi7-Functions that Generalized Askey-Wilson Polynomials.
Sveshnikov A. G. & Tikhonov T. H. : Mir Moscow, 1973. O
The Theory of Functions of a Complex Variable.
Swamy M. N. S. : The Fibonacci Quarterly 37 (1999), No.2, May, 141-144. O
A Generalization of Jacobsthal Polynomials.
Swamy M. N. S. : The Fibonacci Quarterly 37 (1999), No.3, August, 213-222. O
Generalized Fibonacci and Lucas Polynomials and their Associated Diagonal Polynomials.
Swamy M. N. S. : The Fibonacci Quarterly 37 (1999), No.4, November, 350-360. O
Network properties of a pair of generalized polynomials.
Swarttouw R. F. : J. Math. Anal. & Appl. 149 (1990), No.1, 151-159. cxxix
The continguous function relations for the basic hypergeometric series.
Swartz B. K. & Wendorff B. : Proc. Amer. Math. Soc. 11 (1960), 634-639. cix
Continued fraction expansions of real numbers.
Sweeney D. W. : (1963), 170-178. Pi : A source book, 350-358.
On the computation of Euler´s Constants.
Sweezy W. B. & Thron W. J. : SIAM J. Num. Anal. 4 No.2 (1967), 254-270. vi2
Estimates of speed of convergence of certain continued fractions.
Swenson B. L. : The Fibonacci Quarterly 2 (1964), No.4, December, 314-316. O
Application of Fibonacci numbers to solutions of systems of linear equations.
Swinnerton-Dyer H.P.F. : Ramanujan Revisited, Proc. Centen. Conf. Univ. Illinois (1987), AP (1988), 289-311. O
Congruence properties of tau(n).
Szász O. : S. B. Bayer Akad. Wiss. Math. Nat. Kl. (1912), 323-361. xc
Über gewisse unendliche kettenbrüche-Determinanten und kettenbrüche mit komplexen elementen.
Szász O. : Math. Ann. 76 (1915), 301-314. lv
Bemerkungen zur Herrn Perron´s erwieterung eines Markoff´schen satzes.... Kettenbrüche.
Szász O. : Math. Ann. 76 (1915), 485-489. lv
Über irrationalität gewisser undendlicher reihen.
Szász O. : S. B. Bayer Akad. Wiss. Math. Nat. Kl. (1915), 281-288. xc
Über eine besondere klasse unendlicher kettenbrüche mit komplexen elementen.
Szasz O. : J. Reine Angew. Math. 147 (1917), 132-160. xlix
Über die erhaltung der konvergenz unendlicher kettenbrüche bei independenter....
Szász O. : Acta Mathematica 43 (1922), 209-237. lxi / ?
Über konvergenz unendlicher kettenbrüche mit durchweg reelen elementen.
Szegö G. : Sitzungs. Preussichen Akad. (Berlin) (1926), 242-252. cxxii
Ein beitrag zür theorie der theta funktionen.
Szegö G. : J. London Math. Soc. 3 (1928), 225-232. xlii
Über einige von S. Ramanujan gestellte aufgaben.
Szekeres G. : Canad. Math. Bull. 11 (1968), 405-408. xxviii
A combinatorial interpretation of Ramanujan´s continued fractions.
Sz.-Nagy B. : Oxford University Press, 1965. O
Introduction to Real Functions and Orthogonal Expansions.
Tachii H. : Proc. Japan Acad. Ser. A Math. Sci. 70 (1994), No.10, 317-322. xciv / civ
On Jacobi-Perron Algorithm.
Takács L. : Acta Sci. Math. (Szeged) 34 (1978), 383-391. lxx
On an identity of Shih-Chieh Chu.
Takeuchi M. : The Ramanujan Journal 5 (2001), No.4, December, 355-368. O
Quantitative Results on Algebraic Independence of Some Numbers with Godd Approximations.
Tallo y Bauzá J. : Rev. Mat. Hip.-Amer. 7 (1925), 299-303. xlvi
Obtener el desarollo ordenado en a y r de los dos términos de la reducida de la fraccion continua..
Tamba M. : Glasgow Math. J. 34 (1992), No.1, 17-19. cxlviii
On a Ramanujan´s identity.
Tamura J. I. : J. Number Theory 38 No.3 (1991), 251-264. xv
Symmetric continued fractions related to certain series.
Tamura J. I. : Sem. Theorie Nombres Bordeaux Ser. 2 4 (1992), No.1, 75-95. xcv / cx
Trancendental numbers having explicit g-adic and Jacobi-Perron expansions.
Tang S. & Zhu G. Q. : J. Comput. Appl. Math. 51 (1994), No.2, 267-274. c / upv-i1
On the acceleration convergence of limt periodic continued fractions by the T+m transformation.
Tauber A. : Monat. Math. 8 (1897), 273-277. lxviii / lxxiv
Ein satz aus der theorie der unendlichen reihen.
Tauber A. : Math. Zeitsch. 15 (1922), 66-80. lxviii / lxxiv
Über die umwandlung von potenzreihen in kettenbrüche.
Taussky O. : Collected Papers of Hans Arnold Heilbronn , Wiley 1988, 27-37. O
My Personal Recollections of Hans Heilbronn.
Taylor A. E. : first Ed. 1955, tenth Print 1965 Blaisdell Publishing Co. O
Advanced Calculus.
Taylor A. E. : 1958 John Wiley and Sons Inc. O
Introduction to Functional Analysis.
Taylor A. E. : 1965 Blaisdell Publishing Co.
General Theory of Functions and Integration.
Taylor P. R. : Quart. J. Math. (Oxford) 11 (1940), 177-182. cxliii
The functional equation for Epstein´s zeta function.
Tchebyscheff P. L. : J. Math. Pures et Appl. Ser. II 3 (1858), 289-323. xxxii
Sur les fractions continues.
Tchebyscheff P. L. : J. Math. Pures Et Appl. (2) 10 (1865), 353-358. lxiii
Sur les fractions continues algébriques.
Tchebyscheff P. L. : ed. A. Markov and N. Sonin, 1961 Chelsea Publishing Company. O
Oeuvres Tome I.
Tchebyscheff P. L. : ed. A. Markov and N. Sonin, 1961 Chelsea Publishing Company. O
Oeuvres Tome II.
Tenenbaum G. & Mendés-France M. : QsJ No.571, 1997 Presses Universitaires de France. O
Les Nombres Premiers.
Tenenbaum G. & Mendés-France M. : 2000 American Mathematical Society. O
The Prime Numbers and Their Distribution.
Terras A. : Acta Arithm. 29 (1976), 181-189. lvii
Some formulas for the Riemann zeta funct. at odd integ. argum. resulting from the Fourier...
Thakare N. K. (Ed.) : Macmillan India (1989), xii + 481. O
Ramanujan International Symposium on Analysis, Proc. of Ramanujan Birth Cent. Year, Pune Dec. 26-28, 1987.
Thakur D. S. : J. Number Theory 41 No.2 (1992), 150-155. xvi
Continued fraction for exponential Fq [ t ] .
Thale J. S. : Proc. Amer. Math. Soc. 7 (1956), 232-244. vi2
Univalence of continued fractions and Stieltjes transforms.
Thomae J. : J. Reine Angew. Math. 70 (1869), 258-281. lxxiii
Beiträge zur theorie der duch die Heinesche Reihe...
Thomae J. : Annali di Mat. Pure ed Appl. 4 (1870), 105-138. lxxii
Les Séries Heinéennes supérieures, ou les séries de la forme...
Thomae J. : J. Reine Angew. Math. 87 (1879), 26-73. lxxiii
Ueber die funktionen, welche durch reihen von den form dergestellt werden...
Thomae J. : Zeit. Math. Phys. 26 (1881), 314-333. cxxx
Elementare behandlung der hypergeometrische reihen.
Thomae J. : Zeit. Math. Phys. 27 (1882), 41-56. cxxx
Elementare behandlung der hypergeometrische reihen.
Thomas G. B. Jr. : Addison-Wesley 1969. O
Infinite Series and Elemetary Differential Equations.
Thomann J. : Numer. Math. 58 (1990), 503-535. ci / cxix
Resommation des séries formelles.
Thomé L. W. : J. Reine Angew. Math. 66 (1866), 322-336. li
Über die kettenbruchentwicklung der Gauss´schen funktion F(a,1,c; x).
Thomé L. W. : J. Reine Angew. Math. 66 (1866), 337-343. li
Ueber die reihe, welche nach kugelfunctionen fortschreiter.
Thomé L. W. : J. Reine Angew. Math. 67 (1867), 299-309. xxxii
Über die Kettenbruch entwicklung der Gauszschen Quotienten F(a, b+1, c+1; x) / F(a,b,c; x).
Thoro D. : The Fibonacci Quarterly 1 (1963), No.1, February, 49-52 & 64. O
Beginners´ Corner : Divisibility I.
Thoro D. : The Fibonacci Quarterly 1 (1963), No.2, April, 57-60. O
Beginners´ Corner : Divisibility II.
Thoro D. : The Fibonacci Quarterly 1 (1963), No.3, October, 53-59. O
Beginners´ Corner : The golden ration : Computational considerations.
Thoro D. : The Fibonacci Quarterly 1 (1963), No.4, December, 30. O
Reciprocals of generalized Fibonacci numbers.
Thoro D. : The Fibonacci Quarterly 2 (1964), No.1, February, 53-56. O
Beginners´ corner : The Euclidean algorithm I.
Thoro D. : The Fibonacci Quarterly 2 (1964), No.2, April, 135-137. O
Beginners´ corner : The Euclidean algorithm II.
Thoro D. : The Fibonacci Quarterly 2 (1964), No.4, December, 291-295. O
An application of unimodular transformations.
Thron W. J. : Duke Math. J. 10 (1943), 677-685. xxxv
Two families of twin convergence regions for continued fractions.
Thron W. J. : Bull. Amer. Math. Soc. 49 (1943), 913-916. xxxv
Convergence regions for general continued fractions.
Thron W. J. : Amer. J. Math. 66 (1944), 428-438. xxxv
Twin convergence regions for continued fractions Bo + K( 1 / Bn ).
Thron W. J. : Duke Math. J. 11 (1944), 779-791. xxxv
A family of simple convergence regions for continued fractions.
Thron W. J. : Bull. Amer. Math. Soc. 54 (1948), 206-218. xxxv
Some properties of continued fraction 1 + Do z + K( z / (1+Dn z) ).
Thron W. J. : Amer. J. Math. 71 (1949), 112-120. xxxv
Twin convergence regions for continued fractions Bo + K( 1 / Bn ) II.
Thron W. J. : Proc. Nat. Acad. Sci. U.S.A. 36 (1950), 51-54. xxxv
Singular points of functions defined by C-fractions.
Thron W. J. : John Wiley & Sons 1953. O
Introduction to the Theory of Functions of a Complex Variable.
Thron W. J. : Proc. Amer. Math. Soc. 8 (1957), 1040-1043. lxxviii
Convergence of infinite exponentials with complex elements.
Thron W. J. : Math. Zeitschrift 69 (1958), 173-182. vi2
On parabolic convergence regions for continued fractions.
Thron W. J. : Math. Zeitschr. 70 (1959), 310-344. lxiii
Zwillingskonvergenzgebiete für kettenbrüche 1 + K(An / 1), deren eines die kreisscheibe ....
Thron W. J. : Amer. Math. Monthly 68 (1961), 734-750. xxviii
Covergence regions for continued fractions and other processes.
Thron W. J. : J. Indian Math. Soc. 27 (1963), 103-127. xxxvi
Convergence of sequences of linear fractional transformations and of continued fractions.
Thron W. J. : Mathematics Student 32 (1964), 61-73. xix
Some results and problems in the analytic theory of continued fractions.
Thron W. J. : Math. Zeitsch. 85 (1964), 268-273. xxxv
On the convergence of the even part of certain continued fractions.
Thron W. J. : Rocky Mountain J. Math. 4 (2) (1974), 273-282. ix
A survey of recent convergence results for continued fractions.
Thron W. J. : Proc. Analytic Theory Continued Fractions, Norway 1981, Lect. Notes Math. 932 (1982), 38-66. O
Modifications of continued fractions, A survey.
Thron W. J. (Ed.): Lectures Notes Mathematics 1199 (1986), Springer, 299 pp. O
AnalyticTheory of Continued Fractions II, Proceedings, Pitlochry and Aviemore, 1985.
Thron W. J. : Proc. Analytic Theory of Continued Fractions III 1988, Lect. Notes Math. 1406 (1989), 124-134. O
Continued fraction identities derived from the invariance of the crossratio under l.f.t.
Thron W. J. : Lect. Not. Math. No.1435 (1990), 191-200. O
Some results on separate convergence of continued fractions.
Thron W. J. : J. Comput. Appl. Math. 32 (1990), No. 1-2, 273-279. lxxxvi / upv-i1
Order and type of entire functions arising from separately convergent continued fractions.
Thron W. J. : Proc. Amer. Math. Soc. 111 (1991), No.1, 75-80. xx
Separate convergence of general T-fractions.
Thron W. J. : Numer. Algorithms. 3 (1992), No.1-4, 441-450. xcviii
Limit period Schur algorithms, the case Gamma...
Thron W. J. : SIAM J. Math. Anal. 25 (1994), No.2, 733-748. xcix / cxviii
Truncation error for limit periodic Schur algorithms.
Thron W. J. : Proc. Continued Fraction & O. F. IV Norway 1992, Dekker LNPAM 154 (1994), 353-365. O
Truncation error for L.F.T. algorithms {Tn(w)}.
Thron W. J. & Waadeland H. : Numer. Math. 34 (1980), 155-170. viii
Accelerating Convergence of Limit Periodic Continued Fractions K(An / 1).
Thron W. J. & Waadeland H. : Math. Scand. 47 (1980), 72-90. ix
Analytic continuation of functions defined by means of continued fractions.
Thron W.J. & Waadeland H. : Proc. Anal. T. Cont. Fract. Norway 1981, Lect. Notes Math. 932 (1982), 225-240. O
On a certain transformation of continued fractions.
Thron W. J. & Waadeland H. : Rocky Mountain J. Math. 11 (1981), 641-657. ix
Convergence questions for limit periodic continued fractions.
Thron W. J. & Waadeland H. : Math. Comp. 40 (1983), 589-597. lxiv / cxiii
Truncation error bounds for limit periodic continued fractions.
Tietze H. : Monat. für Math. Phys. 21 (1910), 344-360. lv
Einige kettenbruch-konvergenzkriteriun.
Tietze H. : Math. Ann. 70 (1911), 236-265. lv
Über kriterien für konvergenz und irrationalität unendlichen kettenbrüche.
Tietze H. : Monat. für Math. Phy. 24 (1913), 209-242. lx
Über die raschesten kettenbruchentwickungen reelen zahlen.
Tilborghs F. : Simon Stevin 64 (1990), No.3-4, 383-390. xxi
Periodic p-adic continued fractions.
Tillich J. P. & Zemor G. : SIAM J. Discrete Math. 10 (1997), No.3, 447-459. #152
Optimal cycle codes constructed from Ramanujan graphs.
Titchmarsh E. C. : Proc. London Math. Soc. 23 (1924), 279-289. cxxiv / cxxxv
A contribution to the theory of Fourier transforms.
Titchmarsh E. C. : J. London Math. Soc. 2 (1927), 148-150. cxxv
A note on Fourier transformations.
Titchmarsh E. C. : 1951 Oxford University Press. O
The Theory of Riemann Zeta Function.
Todd J. : Amer. Math. Monthly 56 (1949), 517-528. cxxviii
A problem on Arctangent relations.
Todd J. : Communications of the ACM 18 (1975), No.1, 14-19. Pi : A source book, 412-417.
The Lemniscate Constants.
Todorov P. G. : J. Math. Anal. Appl. 147 (1990), No.1, 22-29. xvi
A generalization of a formula of Ramanujan.
Todorov P. G. : Mitt. Math. Ges. Hamburg 12 (1991), No.2, 491-493. lxxxi3
Generalisation d´une formule de Ramanujan.
Toeplitz O. : University of Chicago Press, 1963. O
The Calculus, A Genetic Approach.
Tonev T. : Ramanujan Inter. Symp. on Analysis, Pune 1987, ed. N.K. Thakare, Macmillan (1989), 323-333. O
On the gamma-entire functions.
Tong J. C. : Proc. Edinburgh Math. Soc. (2) 31 (1988), No.2, 197-204. xxiv
A theorem on approximation of irrationals by simple continued fractions.
Tong J. C. : Bull. Soc. Math. France 117 (1989), No.1, 59-67. xx / cxii
Symmetric and asymmetric Diophantine approximation of continued fractions.
Tong J. C. : Proc. Amer. Math. Soc. 105 No.3 (1989), 535-539. xv
The conjugate property for Diophantine approximation of continued fractions.
Tong J. C. : Bull. Austral. Math. Soc. 41 (1990), No.2, 249-253. xxv
Some inequalities for Diophantine approximation by continued fractions.
Tong J. C. : Bull. Austral. Math. Soc. 41 (1990), No.3, 509-512. xxv
Limits of unbounded sequences of continued fractions.
Tong J. C. : J. Austral. Math. Soc. Ser. A 51 No.2 (1991), 324-330. xiv
Diophatine approximation by continued fraction.
Tong J. C. : Math. Scand. 71 (1992), No.2, 161-166. xiii
Approximation by nearest integer continued fraction.
Tong J. C. : Mathematica Japonica 38 (1993), No.4, 655-657. xcv
Approximation of irrational numbers by continued fractions.
Tong J. C. : J. Number Theory 49 (1994), No.1, 89-94. xcix / cxviii
The best approximation function to irrational numbers.
Tong J. C. : Math. Scand. 74 (1994), No.1, 17-18. xciv
Approximation by nearest integer continued fractions. II.
Tong Y. L. L. : Proc. Symp. Pure Math. 49 part 2, Theta Functions Bowdoin 1987, A.M.S. (1989), 151-164. O
Some nonzero harmonic forms and their geometric duals.
Topfer T. : Monatsch. Math. 117 (1994), No.3-4, 255-262. xciv
On the transcendence and algebraic independence of certain continued fractions.
Tornheim L. : Amer. Math. Monthly 57 (1950), 535-539. xlv
A double series summed geometrically.
Torretto R. F. & Fuchs A. : The Fibonacci Quaterly 2 (1964), No.4, December, 296-302. O
Generalized binomial coefficients.
Toscano L. : Matematiche ( Catania ) 27 (1972), 219-250. #173
Sui polinomi ipergeometrici a più variabili del tipo Fo di Lauricella.
Toth L. : Studia Univ. Babes-Bolyai Math. 31 (1986), No.3, 9-15. ciii
Generalizations of an asymptotic formula of Ramanujan.
Toth L. : Mathematica 39 (62) (1997), No.1, 137-141. #149
Asymptotic formulae concerning arithmetical functions defined by cross-convolutions.
Touchard J. : Ann. Soc. Sci. Bruxelles A 53 (1933), 21-31. lxxxiii
Propiétés arithmetiques de certains nombers récurrents.
Touchard J. : Canad. J. Math. 4 (1) (1952), 2-25. O
Sur un problème de configurations et sur les fractions continues.
Touchard J. : Canad. J. Math. 8 (1956), 305-320. lxxxiv
Nombres exponentiels et nombres de Bernoulli.
Townsend E. J. : 1915 Henry Holt and Company. O
Functions of a Complex Variable.
Toyoizumi M. : Tokyo J. Math. 3 (1980), 177-186. lix
Formulae for the Riemann zeta function at half integers.
Toyoizumi M. : Tokyo J. Math. 4 (1981), 193-201. lix
Formulae for the values of zeta and L-functions at half integers.
Toyoizumi M. : Comm. Math. Univ. Sancti Pauli 30 (1981), 149-173. lvii
Ramanujan´s formulae for certain Dirichlet series.
Traub J. F. (ed.) : 1976 Academic Press. O
Algorithms and Complexity, New directions and recent results.
Trefethen L. : J. Approx. Theory 40 (1984), 380-383. cxxvii
The asymptotic accuracy of rational best approximations to e^z on a disk.
Trembley J. : Mém. Acad. Roy. Sc. Belles-Let. Berlin (1794-1795), 109-142. xcii
Recherches sur les fractions continues.
Tricomi F. G. : Rend. Cir. Mat. Palermo 14 (1965), 85-94. cxxviii
Sull algoritmo iterativo del Borchardt e su di una sua generalizzazione.
Tricomi F. G. & Erdélyi A. : Pacific J. Math. 1 (1951), 133-142. xciii
The asymptotic expansion of a ratio of gamma functions.
Tschakaloff L. : Math. Annalen 80 (1921), 62-74. xciii
Arithmetische eigenschaften der unendlichen reihen S x^v a^-v(v-1)/2. I.
Tschakaloff L. : Math. Annalen 84 (1921), 100-114. xciii
Arithmetische eigenschaften der unendlichen reihen S x^v a^-v(v-1)/2. II.
Tsumura H. : J. Number Theory 48 (1994), No.3, 383-391. cxxxiii
On evaluation of the Dirchlet series at positive integrals by q-calculation.
Tudesq Ch. : The Ramanujan Journal 4 (2000), No.3, September, 277-290. O
Etude de la Loi Local de omega(n) Dans de Petits Intervalles.
Turan P. : J. London Math. Soc. 9 (1934), 274-276. xlii
On a theorem of Hardy and Ramanujan.
Turan P. : J. London Math. Soc. 11 (1936), 125-133. xlv
Über einige Verallgemeinerungen eines Satzes von Hardy und Ramanujan.
Turing A. : Ed. by D. C. Ince, Tome 1. North-Holland 1992. O
Collected Works : Tome 1 : Mechanical Intelligence.
Turing A. : Ed. by J. L. Britton, Tome 2. North-Holland 1992. O
Collected Works : Tome 2 : Pure Mathematics.
Turing A. : Ed. by P. T. Saunders, Tome 3 North-Holland 1992. O
Collected Works : Tome 3 : Morphogenesis.
Turing A. : Ed. by R. O. Gandy... , Tome 4 2001 North-Holland. O
Collected Works : Tome 4 : Mathematical Logic.
Turnbull H. W. : Proc. Royal Soc. Edinburgh 55 (1936), 176-177. cxxvi
Bertram Martin Wilson.
Turnwald G. : Lect. Not. Math. No.1452 (1990), 206-207. O
A note on the Ramanujan-Nagell equation.
Tyler D. B. : Amer. Math. Monthly 94 (1987), No.5, 466-468. O
An old sum reappears, Problem E 3103 [ 1985, 507 ], Solution.
Uchimura K. : J. Combinatorial Theory 31 (1981), 131-135. liv
An identity for the divisor generating function arising from sorting theory.
Uchimura K. : Utilitas Math. 25 (1984), 377-379. lviii
A generalisation of identities for the divisor generating function.
Uchiyama S. : Tsukuba J. Math. 4 (1980), 1-7. #156
On rational approximations to irrational numbers.
Ueno K. : Memoirs of the Faculty of Sci. Kyushu Univ. Ser. A 44 (1990), No.1, 11-26. cxxxiv
Hypergeometric series formulas generated by the Chu-Vandermonde convolution.
Ueno K. : Funkcial Ekvacioj 33 (1990), No.3, 493-518. cxxxiv
Hypergeometric series formulas through operator calculus.
Uspensky J. V. : Mc Graw-Hill Book Co. Inc. 1948. O
Theory of Equations.
Väänänen K. : Math. Scand. 73 (1993), 197-208. #156
On the approximation of certain infinite products.
Vahlen K. T. : J. Reine Angew. Math. 115 (1895), 221-233. lxiii
Über näherungswerte und kettenbrüche.
Val P. Du : Collected Papers of Hans Arnold Heilbronn. Wiley 1988, 51-52. O
Brief Recollections of Heilbronn.
Vallée-Poussin Ch. J. de la : Annales de la Soc. Sci. Bruxelles 22 (1898), 84-90. xcii-2
???.
Van Assche W. : Special Funct., q-Series and Related Topics, M.E.H. Isamil... (Eds.), A.M.S. 1997, 211-245. O
Orthogonal Polynomials in the Complex Plane and on the Real Line.
Van Assche W. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 325-342. O
Multiple orthogonal polynomials, irrationality and transcendence.
Van Assche W. : The Ramanujan Journal 5 (2001), No.3, September, 295-310. O
Little q-Legendre Polynomials and Irrationality of Certain Lambert Series.
Van Barel M. & Bultheel A. : Linear Algebra Appl. 122/123/124 (1989), 973-1002. ci / cxix
A canonical solution of the minimal (partial) realization problem.
Van den Eyden C. : Amer. Math. Monthly 94 (1987), No.7, 652-656. O
Applications of a product identity to sums of squares and partitions.
Van der Cruysen P. : Computing 22 (1979), 269-278. lvi2
Linear difference equations and generalized continued fractions.
Van der Cruyssen P. : Numer. Math. 37 (1981), 149-156. viii
A Continued Fraction Algorithm.
Van der Cruyssen P. : BIT 22 (1982), 533-537. lxvii
Nonhomogeneous recursions and generalised continued fractions.
Van der Jeugt J. : Journal of Computational and Applied Mathematics 139 (2002), Issue 1, 1 February, 65-73. m-01
Transformation formula for a double Clausenian Hypergeometric Series, its q-analogue, and its invariance group.
Van der Pol B. : L´Enseignement Math. (2) 1 (1956), 258-???. #168
Demostration élémentaire de la relation (theta3)^4 = (theta0)^4 + (theta2)^4 + ...
Van der Ploeg C. E. : Amer. Math. Monthly 94 (1987), No.3, 279-284. O
Duality in Nonnormal Quadratic Fields.
Van der Poorten A. : Seminaire Delange-Pisot-Poitou 20 (1978-1979), 7pp. cxlvii
Some wonderful formulae... footnotes to Apèry proof of the irrationality of zeta(3).
Van der Poorten A. : Math. Intell. 1 (1979), No.4, 195-203. O
A Proof that Euler Missed... Apéry Proof of the Irrationality of zeta(3).
Van der Poorten A. : Math. Intell. 1 (1979), No.4, 195-203. Pi : A source book, 439-447.
A Proof that Euler Missed... Apéry Proof of the Irrationality of zeta(3).
Van der Poorten A. J. : London Math. Soc : Lectures Notes Ser. No. 154 (1990), 86-97. lxii
Notes on continues fractions and recurrence sequences.
Van der Poorten A. J. : Bull. Austral. Math. Soc. 44 (1991), 155-169. xviii
Fractions of the period of the continued fraction expansion of quadratic integers.
Van der Poorten A. J. : Nieuw Archief Wiskunde (4) 14 (1996), No.2, 221-230. #152
Continued fraction expansions of values of the exponential function and related fun with continued fractions.
Van der Poorten A. J. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 309-314. O
Beer and continued fractions with periodic period.
Van der Poorten A. J. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 343-355. O
Reduction of continued fractions of formal power series.
Van der Poorten A. J. & Shallit J. : J. Number Theory 40 (1992), No.2, 237-250. xv
Folded continued fractions.
Van der Poorten A. J. & Shallit J. : Canadian J. Math. 45 (1993), No.5, 1067-1079. xiv
A specialised continued fraction.
Van der Poorten A. J. & Walsh P. G. : Amer. Math. Monthly 106 (1999), No.1, 52-57. #154
A note on Jacobi symbols and continued fractions.
Van der Waall R. W. : J. Number Theory 5 (1973), 242-244. cxxxv
On a property of tan x.
Van der Sluis A. : Canadian J. Math. 10 (1959), 592-612. cxxxvii
Orthogonal polynomials and hypergeometric series.
Van Diejen J. F. : Publ. of the Research Institute for Math. Sci. (RIMS) Kyoto Univ. 33 (1997), 483-508. #156
On certain multiple Bailey, Rogers and Dougall type summation formulas.
Van Diejen J. F. & Kirillov A. N. : Advances in Mathematics 149 (2000), No.1, January 15, 61-88. m-01
A Combinatorial Formula for the Associated Legendre Functions of Integer Degree.
Van Diejen J. F. & Vinet L. : CRM Procedings and Lectures Notes No. 23, AMS 1999. O
Algebraic Methods and q-Special Functions.
Vandiver H. S. : Trans. Amer. Math. Soc. 51 (1942), 502-531. #173
An arithmetical theory of the Bernoulli numbers.
Van Orstrand C. E. : Philos Magazine (6) 19 (1910), ???-366-???.
Reversion of power series.
Van Ravenstein T. : J. Austral. Math. Soc. Ser. A 45 (1988), No.3, 360-370. xiv
The three gap theorem (Steinhaus conjeture).
Van Tuyle A. H. : Math. of Comput. 63 (1994), 229-246. #178
Acceleration of convergence of a family of logarithmically convergent sequences.
Van Vleck E. B. : Amer. J. Math. 16 (1894), 1-91. lxxvi / lxxx
Kettenbruchentwickelung hyperellipticher und ähnlicher integrale.
Van Vleck E. B. : Trans. Amer. Math. Soc. 2 (1901), 215-233. xxxii
On the convergence of continued fractions with complex elements.
Van Vleck E. B. : Trans. Amer. Math. Soc. 2 (1901), 476-483. xxxii
On the convergence and character of the continued fraction...
Van Vleck E. B. : Annals of Math. (2) 3 (1901), 1-18. xxxii
On the convergence of the continued fraction of Gauss and other continued fractions.
Van Vleck E. B. : Trans. Amer. Math. Soc. 3 (1902), 110-131. cxxx
Determination of the nombre of real and imaginary roots of the hypergeometric series.
Van Vleck E. B. : Trans. Amer. Math. Soc. 4 (1903), 297-332. xxxii
On an extension of the 1894 memoir of Stieltjes.
Van Vleck E. B. : Trans. Amer. Math. Soc. 5 (1904), 253-262. iv2
On the convergence of algebraic continued fractions whose coefficients have limiting values.
Van Vleck E. B. : Colloquium Publications AMS 1 (1905), 75-187. xxxviii / lvi / O
Selected topics in the theory of divergent series and continued fractions.
Van Wijngaarden A. : Proc. Kon. Ned. Akad. v. Wet. Ser. A 56 (19??), ???-???. cxlv
A transformation of formal series.
Varadarajan V. S. : Math. Intell. 6 (1984), No.3, 9-13. O
Harish Chandra (1923-1983).
Varadarajan V. S. : Proc. Indian Acad. Sci. (Math. Sci): Ramanujan... 97 (1987), 305-312. O
The states of the character ring of a compact group.
Vardi I. : Amer. Math. Monthly 95 (1988), No.4, 308-315. O
Integrals, an introduction to analytic number theory.
Vardi I. : C. R. Acad. Sci. Paris Ser. I Math. 324 (1997), No.8, 913-918. cxlvi
The St. Petersburg game and continued fractions.
Vardi I. : Amer. Math. Monthly 105 (1998), No.4, 305-319. #154
Archimedes Cattle problem.
Varouchas J. : The Ramanujan Journal 2 (1998), No.4, 495-498. O
Démonstration Élémentaire d´une Identité de Lorenz.
Vaughan R. C. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 561-565. O
The Papers on Prime Number Problems and Applications of Brun´s Sieve.
Vaughan R. C. : Collected Papers of Hans Arnold Heilbronn, Wiley 1988, 599. O
Commentary : On Dirichlet´s series which satisfy a certain functional equation (Heilbronn).
Vaughan R. C. : J. Austral Math. Soc. Ser. A 65 (1998), No.2, 238-266. #165
Hardy´s legacy to number theory.
Venkatachaliengar K. : Mathematics Student 52 (1984), No.1-4, 215-233, (1990). xix
Ramanujan manuscripts II.
Venkatachaliengar K. : Toils and Triumphs of Srinivasa Ramanujan, W. H. Abdi (Ed.), 1996, 182-206. O
Ramanujan´s contributions to the theory of elliptic functions.
Verdoodt A. : Annales Math. Blaise Pascal 1 (1994), No.2, 71-84. xvii
Continued fractions for finite sums.
Verma A. : Math. Comp. 20 (1966), 151-157. lxxv / cxiv
Certain expansions of the basic hypergeometric functions.
Verma A. : Rendicanti Instituto Lombardo SCi. Mat. A 106 (1972), 342-353. xlviii2
Some transformations of series with arbitrary terms.
Verma A. : Proc. Amer. Math. Soc. 46 (1974), 73-76. cxxxvii
On generating functions of classical polynomials.
Verma A. : Canad. Math. Bull. 20 (1977), 369-375. lxii4
Certain summation formulae for basic hypergeometric series.
Verma A. : Indian J. Pure Appl. Math. 11 (1980), 770-790. TF1
On identities of Rogers-Ramanujan type.
Verma A. : SIAM J. Math. Anal. 11 (1980), 425-427. lxxiii
A quadratic transformation of a basic hypergeometric series.
Verma A. : Toils and Triumphs of Srinivasa Ramanujan, W. H. Abdi (Ed.), 1996, 219-235. O
Identities of Rogers-Ramanujan type.
Verma A. & Denis R.Y. & Rao K.S. : J. Math. Phy. Sci. 21 (1987), No.6, 585-592. xxix / xxxiv2
New continued fractions involving basic hypergemetric 3Phi2 functions.
Verma A. & Jain V. K. : J. Math. Anal. Appl. 76 (1980), 230-269. lviii
Transformations between basic hypergeometric series on different bases and i Rogers-Ramanujan type.
Verma A. & Jain V. K. : SIAM J. Math. Anal. 11 (1980), 425-427. lxii3
A quadratic transformation of a basic hypergeometric series.
Verma A. & Jain V. K. : Indian J. Pure Appl. Math. 11 (8) (1980), 1021-1038. tf1
Some summation formulae of basic hypergeometric series.
Verma A. & Jain V. K. : J. Math. Anal. Appl. 87 (1982), 9-44. lviii
Transform. of non-terminating basic Hyperg. series, their contour integr. and appl. Rogers-Ramanujan identities.
Verma A. & Jain V. K. : J. Indian Math. Soc. ( N. S. ) 47 (1983), No.1-4, 71-85. cxxxvi
Certain summation formulae for q-series.
Verma A. & Jain V. K. : Number Theory, India (1984), Ed.: K. Alladi, Lect. Notes Math. 1122 (1985), 206-217. O
Basic analogues of transformations of nearly-poised basic hypergeometric series.
Verma A. & Jain V. K. : Indian J. Pure & Appl. Math. 18 (1987), No.1, 55-64. cv-2
On transformations of nearly-poised basic hypergeometric series and their applications.
Verma A. & Jain V. K. : Indian J. Pure & Appl. Math. 19 (1988), No.8, 768-785. cv-2
Some quadratic transformations of basic hypergeometric series and identities in Ramanujan´s "lost" notebook.
Verma A. & Jain V. K. : Ganita 43 (1992), 1-35. lxii3
A survey of certain summation formulae for basic hypergeometric series.
Verma A. & Joshi C. M. : Houston J. Math. 5 (1979), No.2, 277-294. cxxx
Some remarks on summation of basic hypergeometric series.
Verma D. P. : Mathematics Student 29 (1961), 140-141. #168
A note on Euler´s constant.
Verma D. P. : Indian J. Math 5 (1963), 13-16. xliii
Laurent´s expansion of Riemann´s zeta-function.
Verma D. P. & Kaur A. : Indagationes Math. 25 (1983), 181-184. #166
Summation of some series involving Riemann zeta function.
Verril H. A. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 333-340. O
Arithmetic of a certain Caslabi-Yau threefold.
Viader P. & Paradís J. & Bibiloni L. : The Fibonacci Quarterly 37 (1999), No.3, August, 198-202. O
Note on the Pierce Expansion of a Logarithm.
Viennot G. X. : J. Indian Math. Soc. 52 (1987), 171-183, (1988). xxxiii
Bijections for the Rogers-Ramanujan reciprocal.
Vijayaraghavan T. : Proc. London Math. Soc. Ser.2 26 (1927), 403-414. ix
Periodic simple continued fractions.
Vilenkin N. Ya. : Translation of Kombinatorika 1969 Nauka / 1971 Academic Press. O
Combinatorics.
Vinson J. : The Fibonacci Quarterly 1 (1963), No.2, April, 37-45. O
The relation of period modulo m to the rank of apparition of m in the Fibonacci sequence.
Viola C. : Acta Arithmetica 22 (1972/1973), 339-352. #173
On the Diophantine equation Pi(0,k) - Sigma(0,k) Xi =n and Sigma(o,k) 1/Xi = a/n.
Viscovatoff B. : Nova Acta Acad. Scient. Imp. Petropolitanae 15 (1802), 181-191. lxxxviii
Essai d´une méthode générale pour féduire toutes sortes de séries en fractions continues.
Viscovatoff B. : Mém Acad. Sc. Imp. St. Pétersbourg 1 (1805), 226-247. lxxxviii
De la méthode générale pour réduire toutes sortes des quantités en fractions continues.
Voigt B. : Séminaire Lotharingien de Combinatoire 8 (1984), 87-89. F.ps
A Common Generalization of Binomial Coefficients, Stirling Numbers and Gaussian Coefficients.
Voloshin Y. M. : Russian Acad. Sci. Doklady Math. 47 (1993), No.2, 262-267. xxiii
Coefficients of expansion in a power series of Ramanujan´s continued fraction.
Von Koch H. : Bull. Soc. Math. France 23 (1895), 23-40. xxxvii
Sur un Théorème de Stieltjes et sur les fractions continues.
Voronoi C. : Ann. Sci. École Norm. Sup. (3) 21 (1904), 207-267. xlix
Sur une fonction transcendante et ses applications à la summation de quelques series.
Voronoi C. : Ann. Sci. École Norm. Sup. (3) 21 (1904), 459-533. #152
???.
Vulakh L. Ya. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 341-351. O
Diophantine approximation in Euclidean spaces.
Vulik B. Z. : 1973/1976 Mir Moscou. O
A Brief Course in the Theory of Functions of a Real Variable.
Vuorinen M. : Studia Mathematica 121 (1996), No.3, 221-230. cxlviii
Singular values, Ramanujan modular equations, and Landen transformations.
Výborný R. : Amer. Math. Monthly 94 (1987), No.4, 369-370. O
Differentiation of power series.
Waadeland H. : Norske Vid. Selsk. Skr. (Trondheim) (1966), No.9, 1-22. lxxxviii
A convergence property of certain T-fraction expansions.
Waadeland H. : J. Approx. Theory 27 (1979), 317-328. lxiv / cxiii
On general T-fractions corresponding to functions satisfying certain boundedness properties.
Waadeland H. : J. Approx. Theory 26 (1979), 329-345. lxiv / cxiii
On limit-periodic general T-fraction and holomorphic functions.
Waadeland H. : Proc. Amer. Math. Soc. 90 (1984), 57-64. iii
Tales about tails.
Waadeland H. : Proc. Analytic Theory Continued Fractions II 1985, Lect. Notes Math. 1199 (1986), 294-299. O
A note on partial derivatives of continued fractions.
Waadeland H. : J. Computational & Appl. Math. 19 (1987), No.1, 161-169. xxvi
Derivations of continued fractions with applications to hypergeometric functions.
Waadeland H. : J. Computational & Appl. Math. 20 (1987), 403-415. xxvi
Linear approximations to continued fractions K (Zn / 1).
Waadeland H. : Lect. Notes Math. (Rational Approx.), 1237 (1987), 239-250. cxxxi
Local properties of continued fractions.
Waadeland H. : Appl. Numer. Math. 4 (1988), No.2-4, 361-375. O
Computation of continued fractions by square-root modification: reflections and examples.
Waadeland H. : Proc. Analytic Theory Continued Fractions III 1988, Lect. Notes Math. 1406 (1989), 135-142. O
Boundary versions of Worpitzky´s theorem and parabola theorems.
Waadeland H. : J. Computational & Appl. Math. 36 (1991), No.3, 361-369. xxvi
Boundary version of a twin region convergence theorem for continued fractions.
Waadeland H. : Rocky Mount. J. Math. 21 (1991), No.1, 557-576. xciii
Where do all the values go ? Playing with two-element continued fraction.
Waadeland H. : Rocky Mount. J. Math. 22 (1992), No.3, 1123-1137. xcv
On continued fractions K(An/1), where all An are lying on a Cartesian oval.
Waadeland H. : Proc. Continued Fractions & O. F. IV Norway 1992, Dekker LNPAM 154 (1994), 367-372. O
A limt theorem in frequency analysis.
Waadeland H. : Proc. O. F., M. T. & C. F. V, Brazil 1996, Dekker LNPAM 199 (1998), 409-416. O
Some probabilistic remarks on the boundary version of Worpitzky´s theorem.
Waadeland H. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 357-367. O
Some observations in frequency analysis.
Wada K. : Math. Japon 36 (1991), No.4, 747-767. xxi
Construction of quadratic irrational numbers with the continued fraction expansion of fixed...
Wagon S. : Math. Intell. 7 (1985), No.3, 65-67. Pi : A source book, 557-559.
Is Pi Normal ?.
Wagstaff S. S. Jr. : J. Indian Math. Soc. 45 (1981), 49-65. xxxiii
Ramanujan´s paper on Bernoulli numbers.
Waldvogel J. & Patry J. : Numer. Math. ???. xxix / cx / cxxiv / ?
Comments on "Efficient stable way to calculate continued fractions from some series".
Waldschmidt M. : Proc. Ramanujan Cent. Int. Conf., Annamalainagar 1987, Ramanujan Math. S. (1988), 67-76. O
Some transcendental aspects of Ramanujan´s work.
Walsschmidt M. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 353-375. O
Transcendance et indépendance algébrique de valeurs de fonctions modulaires.
Walker H. M. : Scripta Mathematica 2 (1934), 316-333. cxxxv
Abraham de Moivre.
Wall Ch. R. : The Fibonacci Quarterly 1 (1963), No.4, December, 23-29. O
Some remarks on Carlitz´s Fibonacci array.
Wall H. S. : Trans. Amer. Math. Soc. 31 (1929), 91-115. xxxii
On the Padé approximants associated with the continued fractions and series of Stieltjes. (Thesis)
Wall H. S. : Bull. Amer. Math. Soc. 37 (1931), 575-579. xxv
Convergence criteria for continued fractions.
Wall H. S. : Trans. Amer. Math. Soc. 33 (1931), 511-532. lix
On the Padé approximants associated with a positive definite power series.
Wall H. S. : Trans. Amer. Math. Soc. 34 (1932), 409-416. lix
General theorems on the convergence of sequences of Padé approximants.
Wall H. S. : Amer. Math. Monthly 39 (1932), 96-107. lix
On the expansion of an integral of Stieltjes.
Wall H. S. : Bull. Amer. Math. Soc. 38 (1932), 752-760. lx
On the relationship among the diagonal files of a Padé table.
Wall H. S. : Bull. Amer. Math. Soc. 39 (1933), 942-952. xxv
On the continued fractions which represents meromorphic functions.
Wall H. S. : Bull. Amer. Math. Soc. 40 (1934), 587-592. xxxv
On continued fractions and cross-ratio groups of Cremona transformations.
Wall H. S. : Bull. Amer. Math. Soc. 41 (1935), 727-736. xxxvii
On continued fractions of the form...
Wall H. S. : Bull. Amer. Math. Soc. 44 (1938), 94-99. xxv
On continued fractions representing constants.
Wall H. S. : Trans. Amer. Math. Soc. 48 (1940), 165-184. xxxii
Continued fractions and totally monotone sequences.
Wall H. S. : Duke Math. J. 7 (1940), 146-153. lix
A class of functions bounded in the unit circle.
Wall H. S. : Amer. Math. Monthly 48 (1941), 102-108. xxv
A continued fraction related to some partition formulas of Euler.
Wall H. S. : Bull. Amer. Math. Soc. 47 (1941), 405-423. xxv
Some recent developpments in the theory of continued fractions.
Wall H. S. : Bull. Amer. Math. Soc. 48 (1942), 427-431. xxxv
The behaviour of certain Stieltjes continued fractions near the singular line.
Wall H. S. : Bull. Amer. Math. Soc. 50 (1944), 110-119. xxxvii
Continued fractions and bounded analytic functions.
Wall H. S. : Bull. Amer. Math. Soc. 51 (1945), 97-105. xxv
Note on the expansion of a power series into a continued fraction.
Wall H. S. : Bull. Amer. Math. Soc. 51 (1945), 930-934. xxv
Note on a certain continued fractions.
Wall H. S. : Amer. Math. Monthly 52 (1945), 308-322. xxxv
Polynomials whose zeros have negative real parts.
Wall H. S. : Bull. Amer. Math. Soc. 52 (1946), 138-143. xxxvii
Continued fractions expansions for functions with positive real parts.
Wall H. S. : Bull. Amer. Math. Soc. 52 (1946), 671-679. xxxvii
A theorem on arbitrary J-fractions.
Wall H. S. : Bull. Amer. Math. Soc 52 (1946), 680-685. lx
Reciprocal of J-matrices.
Wall H. S. : Bull. Amer. Math. Soc. 52 (1946), 686-693. lx
Bounded J-fractions.
Wall H. S. : Bull. Amer. Math. Soc. 54 (1948), 528-532. lx
On some criteria of Carleman for the complete convergence of a J-fraction.
Wall H. S. : D. Van Nostrand N. Y. 1948. O
Analytic Theory of Continued Fractions.
Wall H. S. : Bull. Amer. Math. Soc. 55 (1949), 391-394. lx
Convergence of continued fractions in parabolic domains.
Wall H. S. : Amer. Math. Monthly 56 (1949), 96-97. lx
Note on a periodic continued fraction.
Wall H. S. : Amer. Math. Monthly 59 (1952), 163-168. #165
A continued fraction related to some partition formulas of Euler.
Wall H. S. : Proc. Amer. Math. Soc. 7 (1956), 1090-1093. xxxv
Partially bounded continued fractions.
Wall H. S. : Amer. Math. Monthly 64 (1957), 95-103. xviii / ?
Some convergence problems for continued fractions.
Wall H. S. & Wetzel M. : Trans. Amer. Math. Soc. 55 (1944), 373-392. ix
Contributions to the analytic theory of J-fractions.
Wall H. S. & Wetzel M. : Duke Math. J. 11 (1944), 89-102. ix
Quadratic forms and convergence regions for continued fractions.
Wallin H. : Applicable Analysis 4 (1974), 235-251. lxv
The convergence odf Padé approximants and the size of the power series coefficients.
Wallin L. H. : J. Number Theory 48 (1994), 243-251. #174
A remark on differences of theta series.
Wallin L. H. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 387-391. O
Explicit Siegel theory for quadratic forms.
Wallisser R. : Colloquium Mathematicum 23 (1971), 141-144. cxl
Eine bemerkung über irrationale Werte und nichfortsetzbarkeit von potenzreihen mit ganzzahligen koeffizienten.
Walters R. F. C. : J. Austral. Math. Soc. 8 (1968), 205-212. xiv
Alternative derivation of some regular continued fractions.
Wang F. T. : Bull. Amer. Math. Soc. 52 (1946), 319-321. #173
A note on the Riemann zeta function.
Wang L. X. : Scientia Sinica Ser. A Math. Phys. Sci. 28 (1985), No.10, 1009-1017. xcvi
p-adic continued fractions. I.
Wang L. X. : Scientia Sinica Ser. A Math. Phys. Sci. 28 (1985), No.10, 1018-1023. xcvi
p-adic continued fractions. II.
Wang L. X. & Mo D. Z. : Acata Math. Sinica New Series 2 (1986), No.4, 299-308. xcviii
p-adic continued fractions. III.
Wang T. H. : Math. Magazine 53 (1980), 181-184. lxxxv
Problem 1064, solution by R. L. Young and T. M. Apostol.
Ward M. : J. London Math. Soc. 5 (1930), 106-107. cxxii
A generalisation of a familiar theorem concerning prime numbers.
Waring E. : 1991 American Mathematical Society. O
Meditationes Algebraicae, An Englidh Translation.
Warnaar S. O. : Communications in Math. Phys. 184 (1997), No.1, 203-232. #149
The Andrews-Gordon identities and q-multinomial coefficients.
Warnaar S. O. : Séminaire Lotharingien de Combinatoire 42 (1998), B42n, 22pp. F.ps
Supernomial Coefficients, Bailey´s Lemma and Rogers-Ramanujan-Type identities.
Warnaar S. O. & Pearce P. A. : Internat. J. of Modern Physics Ser. A 11 (1996), No.2, 291-311. #153
A-D-E- polynomial and Rogers-Ramanujan identities.
Washington L. C. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 393-396. O
Siegel zeros for 2-adic L-functions.
Washington L. C. : The Fibonacci Quarterly 37 (1999), No.4, November, 333-341. O
Some remarks on Fibonacci matrices.
Waterhouse W. C. : Amer. Math. Soc. 93 (1986), No.3, 213-214. Ó
Why square roots are irrational.
Watrous J. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 397-407. O
A polynomial-time algorithm for the Artin-Whaples approximation theorem.
Watson G. N. : Quart. J. Pure & Appl Math. 39 (1907), 27-51. cxxx
The expansion of products of hypergeometric functions.
Watson G. N. : Quart. J. Pure & Appl. Math. 40 (1908), 46-57. cxxx
A series for the square of the hypergeometric function.
Watson G. N. : Quart. J. Pure & Appl Math. 41 (1909), 70-79. cxxx
The cubic transformation of the hypergeometric function.
Watson G. N. : Trans. Cambridge Phil. Soc. 21 (1910), 281-299. xcii
The continuation of functions defined by generalised hypergeometric series.
Watson G. N. : Quart. J. Pure & Appl. Math. 42 (1910), 41-53. cxliii
The singularities of functions defined by Taylor´s series.
Watson G. N. : Quart. J. Pure & Appl. Math. 43 (1911), 152-160. cxliii
The characteristic of asymptotic series.
Watson G. N. : Phil. Trans. Royal Soc. London A 211 (1911), 279-313. xlviii2
A theory of asymptotic series.
Watson G. N. : Rend. Circ. Mat. Palermo 34 (1912), 41-88. cxxvi
The transformation of an asymptotic series into a convergent series of inverse factors.
Watson G. N. : Trans. Cambridge Philos. Soc. 22 (1918), 277-308. xcii-2
Asymptotic expansions of hypergeometric functions.
Watson G. N. : Proc. London Math. Soc. (2) 20 (1922), 189-195. lxxiii
The product of two hypergeometric functions.
Watson G. N. : Proc. London Math. Soc (2) 22 (1924), 163-170. lviii
The theorems of Clausen and Cayley on products of hypergeometric series.
Watson G. N. : Proc. London Math. Soc (2) 23 (1924), xxxi-xxxiii. cxliii
Dixon´s theorem on generalized hypergeometric functions.
Watson G. N. : Proc. London Math. Soc. (2) 23 (1925), xiii-xv. cxxxv
A note on generalized hypergeometric series.
Watson G. N. : J. London Math. Soc. 3 (1928), 216-225. xxvii
Theorems Stated by Ramanujan ( II ) : Theorems on summation of series.
Watson G. N. : J. London Math. Soc. 3 (1928), 282-289. xxvii
Theorems Stated by Ramanujan ( IV ):Theorems on approximate integration and summation...
Watson G. N. : Proc. London Math. Soc. (2) 29 (1929), 293-308. xxvii / xxxix / xliii
Theorems Stated by Ramanujan ( V ) : Approximations connected with e^x.
Watson G. N. : J. London Math. Soc. 4 (1929), 4 - 9. xiii /xcv
A new proof of the Rogers-Ramanujan Identities.
Watson G. N. : J. London Math. Soc. 4 (1929), 39-48. ix
Theorems Stated by Ramanujan ( VII ) : Theorems on Continued Fractions.
Watson G. N. : J. London Math. Soc. 4 (1929), 82-86. xxvii
Theorems Stated by Ramanujan ( VIII ) : Theorems on divergent series.
Watson G. N. : J. London Math. Soc. 4 (1929), 231-237. ix
Theorems Stated by Ramanujan ( IX ) : Two Continued Fractions.
Watson G. N. : J. Indian Math. Soc. 18 (1929), 113-117. lii
Solution to question 722.
Watson G. N. : Quart. J. Math. Oxford Ser. 1 (1930), 310-318. lvi2
The constants of Landau and Lebesgue.
Watson G. N. : J. London Math. Soc. 6 (1931), 59-65. xxvii
Theorems Stated by Ramanujan ( XI ) :
Watson G. N. : J. London Math. Soc. 6 (1931), 65-70. xxvii
Theroems Stated by Ramanujan ( XII ) : A singular modulus.
Watson G. N. : J. London Math. Soc. 6 (1931), 126-132. xxvii
Theorems Stated by Ramanujan ( XIV ) : A singular modulus.
Watson G. N. : J. London Math. Soc. 6 Part 2 (1931), 137-153. O
Ramanujan´s note books.
Watson G. N. : Quart. J. Math. 3 (1932), 81-98. xxxii
Some singular moduli (I).
Watson G. N. : Quart. J. Math. 3 (1932), 189-212. xxxii
Some singular moduli (II).
Watson G. N.: Mathematical Gazette 17 (1933), 5-17. ix
The Marquis and the land-agent, a tale of the eighteenth century.
Watson G. N. : J. Reine Angew. Math. ¿19? (1933), 238-251. lxxviii
Über die Schläflischen Modulargleichungen.
Watson G. N. : J. Indian Math. Soc. 20 (1933), 57-69. lxxxii
Proof of certain identities in combinatory analysis.
Watson G. N. : J. London Math. Soc. 8 (1933), 189-192. cxliv
Notes on generating functions of polynomials. I.
Watson G. N. : J. London Math. Soc. 8 (1933), 194-199. cxliv
Notes on generating functions of polynomials. II.
Watson G. N. : J. London Math. Soc. 8 (1933), 289-292. cxliv
Notes on generating functions of polynomials. III.
Watson G. N. : J. London Math. Soc 9 (1934), 22-28. cxliv
Notes on generating functions of polynomilas. IV.
Watson G. N. : Comp. rendues 2º Congre. Math Pays Slaves (1934), 169-171. O
Über Poissonsche Summationsformeln.
Watson G. N. : Quart. J. Math. Oxford Ser. 5 No. 19 (1934), 221-223. O
An inequality.
Watson G. N. : Mathematical Gazette 18 (1934), 5-18. lii
Scraps from some mathematical note books.
Watson G. N. : Compositio Math. 1 (1934), 39-68. lxxx
Generating functions of class-numbers.
Watson G. N. : Proc. Cambridge Ph. Soc. 31 (1935), 7-17. ix
Ramanujan´s Continued Fractions.
Watson G. N. : J. Tchécoslovaque Math. & Physi. (1935), 1-8. O
Über eine formel für numerische berechnung der bestimmten integrale.
Watson G. N. : Math. Zeitschrift 39 (5) (1935), 712-731. O
Über Ramanujansche Kongruenzeigenschaften der Zerfällungsanzahlen (I).
Watson G. N. : Compos. Math. 1 (1935), 39-68. cxxvii
Generation functions of class numbers.
Watson G. N. : J. London Math. Soc. 11 (1936), 250-251. O
A note on parabolic cylinder functions.
Watson G. N. : J. London Math. Soc. 11 (1936), 256-261. O
An integral equation for the square of a Laguerre polynomial.
Watson G. N. : Quart. J. Math. Oxford Ser. 7 No. 27 (1936), 175-183. O
Ramanujan´s integrals and Gauss´s sums.
Watson G. N. : Proc. London Math. Soc. (2ª) 40 (1936), 83-142. O
Singular moduli (3).
Watson G. N. : Acta Arith. 1 (1936), 284-323. xxviii
Singular moduli (4).
Watson G. N. : J. London Math. Soc. 11 (1936), 3-15. xlii
The final problem : An account of the mock theta functions.
Watson G. N. : J. London Math. Soc. 11 (1936), 55-80. xlii
The final problem : an account of the mock theta functions.
Watson G. N. : Proc. London Math. Soc. (2ª) 42 (1937), 274-304. O
The mock theta functions (2).
Watson G. N. : Proc. London Math. Soc. (2ª) 42 (1937), 377-397. O
Singular moduli (5).
Watson G. N. : Proc. London Math. Soc. (2ª) 42 (1937), 398-409. O
Singular moduli (6).
Watson G. N. : Proc. London Math. Soc. (2ª) 42 (1937), 550-556. O
Two tables of partitions.
Watson G. N. : Quart. J. Math. Oxford Ser. 8 No. 29 (1937), 39-42. O
A note on Spence´s logarithmic transcendant.
Watson G. N. : Quart. J. Math. Oxford Ser. 8 No. 29 (1937), 43-47. O
A note on Lerch´s functions.
Watson G. N. : Rend. R. Acad. Naz. Lincei 26 Ser.6ª 2º sem fasc. 3-4 (1937), 91-96. O
Studio di una particolare funzione definita da un integrale improprio.
Watson G. N. : J. London Math. Soc. 13 (1938), 29-32. O
A note on the polynomials of Hermite and Laguerre.
Watson G. N. : J. London Math. Soc. 13 (1938), 41-44. O
Some integrals involving Bessel functions.
Watson G. N. : Quart. J. Math. Oxford Ser. 9 No. 34 (1938), 128-140. O
A note on Gegenbauer polynomials.
Watson G.N.: S.B.Akad.Wiss Wien Math. Nat. Kl. Abt. IIa , 147Bd. .3 & 4 H.(1938), 153-159.O
Über eine Reihe aus verallgemeinerten Laguerre´schen Polynomen.
Watson G. N. : J. Reine Angew. Math. 179 (1938), 97-128. xlvi
Ramanujans Vermutung über Zerfällungsanzahlen.
Watson G. N. : Monat für Math. 48 (1939), 516-530. xxxii
Über eigenschaften des Ramanujanschen Kettenbrüche.
Watson G. N. : Quart. J. Math. (Oxford) 10 (1939), 266-276. cxliii
Three triple integrals.
Watson G. N. : Proc. London Math. Soc. (2) 51 (1948), 1-13. cxlv
A table of Ramanujan´s function tau(n).
Watson G. N. : Proc. London Math. Soc. (3) 2 (1952), 129-149. cxliv
Periodic sigma functions.
Watson G. N. : Proc. Edinburgh Math. Soc. (2) 11 (1959), 167-174. lxxiv
A theorem on continued fractions.
Weaber R. L. : The Ramanujan Journal 5 (2001), No.1, March, 53-63. O
New Congruences for the Partition Function.
Weber H. : Acta Math. 11 (1888), 333-390. xxxviii
Zur Theorie der Elliptischen Funktionen.
Weber K. : S. B. Bayer. Akad. Wiss. Math. Nat. Abt. 1 (1926), 41-62. O
Kettenbrüche mit kulminierenden und fastkulminierenden perioden.
Webster R. : Fourteenth Annual IMO Lecture at the Royal Society 17 Sep, 1991, Pi : A source book, 654-657.
The Tail of Pi.
Weidlinger P. & Wright J. : Math. Intell. 17 No.4 (1995), 3. O
A Ramanujan Puzzle.
Weierstrass K. : (1885). Pi : A source book, 207-225.
Zu Lindemann´s Abhandlung : " Über die Ludolph´sche Zahl ".
Weil A. : Amer. Math. Monthly 91 (1984), No.9, 537-542. Ó
Euler.
Weinstock R. : Amer. Math. Monthly 97 (1990), No.1, 39-42. O
Elementary evaluations of INT e-x^2 , cos x^2, and sin ^2 .
Weintraub S. H. : Amer. Math. Monthly 104 (1997), No.7, 623-632. #154
Early transcendentals.
Weisner L. : Trans. Amer. Math. Soc. 38 (1935), 474-484. cxxxviii / #154
Abstract theory of inversion of finite series.
Weniger E. J. : J. Comput. & Appl. Math. 32 (1990), No.1-2, 291-300. upv-i1
On the summation of some divergent hypergeometric series and related perturbation expansions.
Wermuth E. M. E. : Amer. Math. Monthly 99 No.6 (1992), 530-537. O
Some Elementary Properties of Infinite Products.
Wetherfield M. : Math. Gazette 80 (1996), 333-344. lxxxii / lxxxiv
The enhancement of Machin´s formula by Todd´s process.
Wheeler J. C. : Rocky Mount. J. Math. 4 (1974), No.2, 287-296. lxv
Gaussian Quadrature and modified moments.
Wheelon A. D. : Advanced Physics Monographs, Holden-Day 1968. O
Tables of Summable Series and Integrals involving Bessel Functions.
Whinihan M. J. : The Fibonacci Quarterly 1 (1963), No.4, December, 9-13. O
Fibonacci nim.
Whipple F. J. W. : Proc. London Math. Soc. (2) 23 (1925), 104-114. liii
On well-poised series, generalized hypergeometric series having parametrers in pairs, each...
Whipple F. J. W. : Proc. London Math. Soc. (2) 24 (1926), 247-263. xliv
On well-poised series, generalized hypergeometric series having parameters in pairs, each pair...
Whipple F. J. W. : Proc. London Math. Soc. (2) 25 (1926), 525-544. lxv
Well-poised series and other generalized hypergeometric series.
Whipple F. J. W. : J. London Math. Soc. 1 (1926), 138-145. xlv
A fundamental relation between generalised hypergeometric series.
Whipple F. J. W. : Proc. London Math. (2) 26 (1927), 257-272. liii
Some transformations of generalized hypergeometric series.
Whipple F. J. W. : J. London Math. Soc. 2 (1927), 85-90. lxi
Algebraic proof of the theorems of Cayley and Orr concerning the products of certain Hypergeom. series.
Whipple F. J. W. : Proc. London Math. Soc. (2) 28 (1928), 431-437. cxliii
On a theorem due to F. S. Macaulay concerning the enumeration of power products.
Whipple F. J. W. : J. London Math. Soc. 4 (1929), 48-50. lxi
On a formula implied in Orr´s theorems converning the products of hypergeometric series.
Whipple F. J. W. : J. London Math. Soc. 5 (1930), 192. xlv
The sum of the coefficients of a hypergeometric series.
Whipple F. J. W. : Proc. London Math. Soc. (2) 30 (1930), 81-94. lxv
On series allied to the hypergeometric series with argument -1.
Whipple F. J. W. : J. London Math. Soc. 9 (1934), 137-140. lxi
On transformations of terminating well-poised hypergeometric series of type 9F8.
Whipple F. J. W. : Proc. London Math. Soc. (2) 40 (1936), 336-344. cxlv / #155
Relations between well-poised hypergeometric series of the type 7F6.
Whipple F. J. W. : Proc. London Math. Soc. (2) 42 (1937), 410-421. cxlv
Well-poised hypergeometric series and cognate trigonometric series.
Whittaker E. T. : Bull. Amer. Math. Soc. 10 (1904), 125-134. cxxxvii
An expresion of certain known functions as generalized hypergeometric functions.
Whittaker E. T. : J. London Math. Soc. 12 (1937), 145-155. lxi
Alfred Carden Dixon.
Whittaker E. & Robinson G. : Blackie & Son Limited, London & Glasgow, Fourth edition, 1946. 397pp. O
The Calculus of Observations, A Treatise on Numerical Mathematics.
Whittaker E. T. & Watson G. N. : 4th ed. 1980 Cambridge University Press. O
A Course of Modern Analysis.
Wickmann B. : J. London Math. Soc. 38 (1963), 465-466.
A note on restricted difference bases.
Widder D. V. : Math. Mag. 23 (1950), 171-182. lii / lviii
An inversion of the Lambert transforms.
Widder D. V. : Princeton University Press 1946 / 1952. O
The Laplace Transform.
Widder D. V. : 1971 Academic Press. O
An Introduction to Transform Theory.
Wielonsky F. : B.C. Berndt - F. Gesztesy (eds.), Contemporary Mathematics 236 (1999), 369-379. O
Some properties of Hermite-Padé approximants to e^z.
Wiener J. & Shah S. M. : J. Math. & Phys. Sci. 21 (1987), No.6, 527-543. xxxiv2
Continued fractions arising in a class of functional-differential equations.
Wiener N. : 1933 / 1958 Dover Publications. O
The Fourier Integral and certain of its Applications.
Wigert S. : Acta Math. 41 (1916), 197-218. xxxi
Sur la série de Lambert et son application á la théorie des nombres.
Wilansky A. : Blaisdell Publ. Co. Ginn & Co. 1964. O
Functional Analysis.
Wilansky A. : 1970 Ginn A Xerox The College Division, Massch. O
Topology for Analysis.
Wilansky A. : North-Holland 1984. O
Summability through Functional Analysis.
Wildeshaus J. : Lectures Notes Mathematics 1650, Springer Verlag 1995. O
Realizations of Polylogarithms.
Wilf H. S. : Amer. Math. Monthly 94 (1987), No.1, 3-6. O
A Greeting, and a View of Riemann´s Hypothesis.
Wilf H. S. : Séminaire Lotharingien de Combinatoire 42 (1998), B42k 4pp. F.ps
The Number-Theoretic content of the Jacobi Triple Product Identity.
Wilf H. S. : Séminaire Lotharingien de Combinatoire 44 (2000), Article B44c, 3pp. F.ps
Identically Distributed Pairs of Partitions Statistics.
Wilf H. S. & Zeilberger D. : J. Amer. Math. Soc. 3 (1990), 147-158. lxxvii
Rational functions certify combinatorial identities.
Wilf H. S. & Zeilberger D. : Bull. Amer. Math. Soc New Ser. 23 (1990), 77-83. lxxvii
Towards computerized proofs of identities.
Wilf H. S. & Zeilberger D. : Bull. Amer. Math. Soc New Ser. 27 (1992), 148-153. cviii
Rational function certification of multisum / integral / 'q' identities.
Wilf H. S. & Zeilberger D. : Invent. Math. 108 (1992), 575-633. cxi / cxxvii
An algorithmic proof theory for hypergeometric ( ordinary and 'q' ) multisum / integral identities.
Williams G. T. : Amer. Math. Monthly 52 (1945), 323-327. lxxxiii
Numbers generated by the function e^e^x-1.
Williams G. T. : Amer. Math. Monthly 60 (1953), 19-25. lv
A new method of evaluating zeta(2n).
Williams H. C. : J. Reine Angew. Math. 315 (1980), 1-15. cxxxvii
Some results, concerning the nearest integer continued fraction expansion of root(D).
Williams H. C. : Math. Comput. 36 (1981), 593-601. cxxvii
A numerical investigation into the length of the period of the continued fraction of root(D).
Williams H. C. : Utilitas Mathematica 28 (1985), 201-209. cxxiii
A note on the period length of the continued fraction expansion of certain root(D).
Williams H. C. : Rocky Mount. J. Math. 15 (1985), 621-655. lxxi
Continued fractions and number theoretic computations.
Williams H. C. : Utilitas Mathematica 37 (1990), 145-157. xxiv
Eisenstein´s problem and continued fractions.
Williams H. C. : Publicat. Math. Debrecen 37 (1990), No.3-4, 245-264. #149
The period lenght of Voronoi´s algorithm for certain cubic orders.
Williams H. C. & Buhr P. : Math. Comput. 33 (1979), 369-381. cxxxvii
Calculation of the regulator of Q(root(D)) by use of the nearest integer continued fraction algorithm.
Williams H. C. & Dueck G. : Math. Comput. 42 (1984), 683-705. cxxvii
An analogue of the nearest integer continued fraction for certain cubic irrationalities.
Williams H. C. & Wunderlich M. C. : Math. Comp. 48 (1987), No.177, 405-423. lxxi
On the parallel generation of the residues for the continued fraction factoring algorithm.
Williams K. S. : J. Number Theory 38 (1991), No.1, 118-133. xvi
On a assertion of Ramanujan concerning binary quadratic forms.
Williams K. S. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 409-416. O
Some refinements of an algorithm of Brillhart.
Williams K. S. : The Ramanujan Journal 3 (1999), No.4, December, 367-384. O
Some Lambert Series Expansions of Products of Theta Functions.
Williams K. S. & Buck N. : Proc. Amer. Math. Soc. 120 (1994), No.4, 995-1002. c / cxvii
Comparison of the lengths of the continued fractions of ...
Williamson C. J. : 4º Conf. Canad. Number Theory Assoc. 1994, K. Dilcher (ed.), 1995 AMS, 417-431. O
On the algebraic construction of tri-diagonal matrices with given characteristic polynomial.
Williamson B. : Longmans Green 1920. O
An Elementary Treatise on the Integral Calculus.
Wilson B. M. : Proc. London Math. Soc. (2) 21 (1923), 235-255. xliv
Proofs of some formulae enunciated by Ramanujan.
Wilson E. B. : 1911-1912 / 1958 Dover Publications. O
Advanced Calculus.
Wilson J. A. : SIAM J. Math. Anal. 11 (1980), 690-701. lxxxv
Some hypergeometric orthogonal polynomials.
Wilson R. : Proc. London Math. Soc. Ser. 2ª 26 (1927), 159-168. xiii
Divergent continued fractions and polar singularities.
Wilson R. : Proc. London Math. Soc. Ser. 2ª 27 (1928), 497-512. xiii
Divergent continued fractions and polar singularities II.
Wilson R. : Proc. London Math. Soc. Ser. 2ª 28 (1928), 128-144. xiii
Divergent continued fractions and polar singularities III.
Wilson R. : Proc. London Math. Soc. Ser. 2ª 30 (1928), 38-57. xiii
Divergent continued fractions and nonpolar singularities.
Wilton J. R. : Messenger of Math. 52 (1922-1923), 90-93. #166
A proof of Burnside´s formula for log gamma(x+1) and certain allied properties of Riemann zeta-function.
Wilton J. R. : Proc. Camb. Philos. Soc. 25 (1929), 121-129.xlvi
A note on Ramanujan´s arithmetical functions r(n).
Wilton J. R. : Proc. Camb. Philos. Soc. 25 (1929), 255-264. xlvi
On Ramanujan´s arithmetical function Sigma r,s (n).
Wimp J. : Canadian J. Math. 34 (1987), 983-1000. #168
Explicit formulas for the associated Jacobi polynomials and some appications.
Wimp J. : J. Comput. & Appl. Math. 32 (1990), No.1-2, 301-310. ci / upv-i1
Pollaczek polynomials and Pade approximants : Some closed-form expressions.
Wimp J. : The Math. Intelligencer 20 (1998), No.2, 62-79. O
Reviews : To Catch the Spirit : The Memoir of A.C. Aitken. by A. C. Aitken.
Wingler E. : Amer. Math. Monthly 97 No.9 (1990), 836-839. O
An Infinite Product Expansion for the Square Root Function.
Winquist L. : J. Combin. Theory 6 (1969), 56-59. cxxi
An elementary proof of p(11m+6)=0 (mod 11).
Wirsching R. D. : Diplomarbeit, Math. Inst. Univ. Heidelberg Juni 1970. O
Identitäten Ramanujanscher Art zur Jacobishen Thetafunktion.
Wirsing E. : Michigan Math. J. 13 (1966), 215-218. cxxxi
On the monotonicity of the zeros of two power series.
Wlodarski J. : The Fibonacci Quaterly 1 (1963), No.4, December, 61-63. O
The " Golden Ratio " and the Fibonacci numbers in the world of atoms.
Woepcke F. : J. Reine Angew. Math. 42 (1851), 83-90. lxxxiv
Note sur l´expression (((a^a)^a....) et les fonctions inverses correspondantes.
Wójcik J. : Acta Arithmetica 11 (1966), 433-436. cix
A refinement of a theorem of Schur on primes in artihmetic progressions.
Wójcik J. : Acta Arithmetica 12 (1966/1967), 97-109. cix
A refinement of a theorem of Schur on primes in arithmetic progressions. II.
Wójcik J. : Acta Arithmetica 15 (1968/1969), 193-197. cix
A refinement of a theorem of Schur on primes in arithmetic progressions. III.
Wolfart J. : Collq. Math. Soc. Janos Bolyai 51 (1987), 1051-1063. lxxi / ?
Values of Gauss´Continued fractions.
Wolfram S. : Amer. Math. Monthly 91 (1984), No.9, 566-571. Ó
Geometry of binomial coefficients.
Wolke D. : Acta Arithm. 55 (1990), 323-331. xxiv
Über die Zahlentheoretische Funktion.
Woll J. W. : 1966 Harcourt Brace & World, Inc. O
Functions of Several Variables.
Wolstenholme J. : Proc. London Math. Soc. 4 (1873), 283-287. cxxx
On the summation of certain series.
Woltman G. : The Fibonacci Quarterly 37 (1999), No.4, November, 367-370. O
On the discovery of the 38th known Mersenne prime.
Wong S. : 5º Conf. Canad. Number Theory Assoc. 1996, R. Gupta... (Eds.), 1999 AMS, 377-383. O
On the rank of ideal class groups.
Worley R. T. : J. Austral. Math. Soc. 15 (1973), 112-116. xiv
Denominator sequences of continued fractions I.
Worley R. T. : J. Austral. Math. Soc. 15 (1973), 470-475. xiv
Denominator sequences of continued fractions II.
Worley R. T. : J. Austral. Math. Soc. Ser. A 26 No.1 (1978), 53-56. xiv
Denominator sequences of continued fractions III.
Worley R. T. : J. Austral. Math. Soc. Ser. A 31 No.2 (1981), 202-206. xiv
Estimating | a - p/q |.
Worpitzky J. : Friedrichs-Gymnasium und Realschule Jahresbericht Berlin (1865), 3-39. lxxxviii / xc
Untersuchungen über die Entwickelung der monodromen und monogenen funktionen durch kettenbrüche.
Worpitzky J. : J. Reine Angew. Math. 94 (1883), 203-233. xxxviii
Studien über die Bernoulli´schen und Euler´schen Zahlen.
Wrench J. W. Jr. : The Mathematics Teacher (1960), 644-650. Pi : A source book, 319-325.
The evolution of extended decimal approximations to Pi.
Wrench J. W. & Shanks D. : Math. of Comp. 20 (1966), 444-448. #169
Questions concerning Khintchine´s Constant and the efficient computation of regular continued fractions.
Wright E. M. : Quart. J. Math. (Oxford) 2 (1931), 177-189. #155
Asymptotic Partition Formulae II : Weighted Partitions.
Wright E. M. : Proc. London Math. Soc. (2) 36 (1933), 117-141. #155
Asymptotic Partition Formulae I : Plane Parittions.
Wright E. M. : Proc. London Math. Soc. (2) 38 (1933), 257-270. cxliii
The asymptotic expansion of the generalized Bessel function.
Wright E. M. : J. London Math. Soc. 8 (1933), 71-79. cxliv
On the coefficients of power series having exponential singularities.
Wright E. M. : Acta Math. (Stockholm) 63 (1934), 112-120. cxlv
Asymptotic partition formulae, partitions into k-th powers.
Wright E. M. : Acta Math. (Stockholm) 63 (1934), 143-191. #152
Asymptotic partition formulae III : Partitions into kth powers.
Wright E. M. : J. London Math. Soc. 10 (1935), 286-293. cxliv
The asymptotic expansion of the generalized hypergeometric function.
Wright E. M. : Quart. J. Math. (Oxford) 11 (1940), 36-48. cxliii
The generalized Bessel function of order greater than one.
Wright E. M. : Proc. London Math. Soc. (2) 46 (1940), 389-408. cxlv
The asymptotic expansion of the generalized hypergeometric function. II.
Wright E. M. : Phil. Trans. Royal Soc. London A 238 (1940), 423-451. xlviii2
The asymptotic expansion of integral functions defined by Taylor sereis. I.
Wright E. M. : Phil. Trans. Royal Soc. London A 239 (1941), 217-232. xlviii2
The asymptotic expansion of integral functions defined by Taylor series. II.
Wright E. M. : Trans. Amer. Math. Soc. 64 (1948), 409-438. cxlv
The asymptotic expansion of integral functions and of the coefficients in their Taylor series.
Wright E. M. : J. London Math. Soc. 24 (1949), 40-43. cxliv
The Taylor coefficients of integral functions.
Wright E. M. : J. London Math. Soc. 24 (1949), 304-309. cxliv
On the coefficients of power series having exponential singularities. II.
Wright E. M. : Proc. London Math. Soc. (2) 54 (1951), 254. cxlv
Corrigendum.
Wright E. M. : J. London Math. Soc. 27 (1952), 256. cxliv
The asymptotic expansion of the generalized hypergeometric function, a correction.
Wright E. M. : J. London Math. Soc. 40 (1965), 56-57. lxx
An enumerative proof of an identity of Jacobi.
Wright E. M. & Yates B. G. : Quart. J. Math. (Oxford) (2) 1 (1950), 41-53. cxlv
The asymptotic expansion of a certain integral.
Wrinch D. M. : Proc. London Math. Soc. (2) 22 (1924), xxii-xxiii. cxliii
The hypergeometric function with k denominators.
Wunderlich M. C. : Lect. Notes. Math. (Number Theory Carbondale) 751 (1979), 328-342. lxiii / ?
A running time analysis of Brillhart´s continued fraction factoring method.
Wunderlich M. C. : Math. Comp. 44 (1985), 251-260. viii
Implementing the continued fractions factoring algorithm on parallel machines.
Wunsch A. D. : 2ª ed. 1997 Addison-Wesley. O
Variable Compleja con Aplicaciones.
Wynn P. : Proc. Cambridge Phil. Soc. 52 (1956), 663-671. cxlvi
On a Procrustean technique for the numerical transformation of slowly convergent sequences and series.
Wynn P. : Numer. Math. 1 (1959), 272-307. iv2
Converging Factors for Continued Fractions Part I.
Wynn P. : Numer. Math. 1 (1959), 308-320. iv2
Converging Factors for Continued Fractions Part II.
Wynn P. : Math. Comp. 14 (1960), 147-186. lxiv / cxiii
The rational approximation of functions which are formally defined by a power series expansions.
Wynn P. : BIT 4 (1962), 231-255. cxlv
An arsenal of Algol procedures for complex arithmetic.
Wynn P. : Arch. Rat. Mech. Anal. 12 (1963), 273-312. viii
Continued fractions whose coefficients obey a non-commutative law of multiplication.
Wynn P. : Numer. Math. 5 (1963), 332-352. xxviii
Note on a converging factor for a certain continued fraction.
Wynn P. : SIAM J. Num. Anal. Ser. B 1 (1964), 177-197. vi2
On some recent developpments in the theory and application of continued fractions.
Wynn P. : Revue Francaise de Traitment de l´Information 8 (1965), 23-62. cxxxviii
A note on programming repeated application of the e-algorithm.
Wynn P. : Revue Francaise de Traitement de l´Information 9 (1966), 327-362. cxlvi
An arsenal of Algol procedures for the evaluation of continued fractions and for effecting the epsilon algorithm.
Wynn P. : Arch. Rat. Mech. Anal. 28 (1968), 83-148. xxxviii
Upon the definition of an integral as the limit of a continued fraction.
Wynn P. : Computing J. 14 (1971), 437-441. cv-2
A note on the generalized Euler transformation.
Wynn P. : C. R. Acad. Sci. Paris 275 (1972), 1351-1352. cxxxviii
Transformation de séries à l´aide de l´e-algorithme.
Wynn P. : Rocky Mountain J. Math. 4 (1974), 297-323. cxxiii
Some recent developements in the theories of continued fractions and Padé table.
Xu Y. : Special Functions, q-Series and Related Topics, M.E.H. Ismail... (Eds.), A.M.S. 1997, 247-270. O
On Orthogonal Polynomials in Several Variables.
Yan S. Y. : World Scientific 1996. O
Perfect, Amicable and Social Numbers, A Computational Approach.
Yan Z. : Canad. Math. J. 44 (1992), 1317-1338. #155
A class of generalized hypergeometric functions in several variables.
Yang K. W. : Discrete Math. 146 (1995), No.1-3, 271-284. upv-i1 / cv-2
Matrix q-hypergeometric series.
Yang X. : Journal of Mathematical Analysis and Applications 262 (2001), No.2, October 15, 651-659. m-01
Approximations for Constant e and Their Applications.
Yang Y. : Trans. Amer. Math. Soc. 352 (2000), No.6, 2581-2600. #164
Partitions into primes.
Yasutomi S. I. : Acta Arithm. 84 (1998), No.4, 337-374. #150
The continued fraction expansion of alfa with mu,alfa = 3.
Ye Y. : The Ramanujan Journal 4 (2000), No.4, December, 385-395. O
A Kuznetsov Formula for Kloosterman Sums on Gln.
Yee A. J. : The Ramanujan Journal 5 (2001), No.3, September, 247-262. O
On the Combinatorics of Lecture Hall Partitions.
Yen L. J. Math. Anal. Appl. (1995 ó 1996), .lxxv / cxiv
A two-line algorithm for proving terminating hypergeometric identities.
Yi J. : The Ramanujan Journal 5 (2001), No.4, December, 377-384. O
Modular Equations for the Rogers-Ramanujan Continued Fraction and the Dedekind Eta-Function.
Yeyios A. K. : J. Comput. Appl. Math. 40 (1992), No.1, 63-72. c / upv-i1
On two sequences of algorithms for approximating square roots.
Yoshino M. : Tsukuba J. Math. 15 (1991), No.1, 193-203. xcv
Global hypoellipticity and continued fractions.
Yui N. : J. Reine Angew. Math. 299/300 (1978), 185-200. xxx
Explicit form of the modular equation.
Zaanen A. C. : North-Holland & Noordhoff N. V. O
Linear Analysis.
Zagier D. : Proc. Indian Acad. Sci. (Math. SCi.): Ramanujan B.C.V. 97 (1987), 313-324. O
On an approximate identity of Ramanujan.
Zagier D. : Number Theory and Related Topics, Bombay (1988), T.I.F.R. - O.U.P. (1989), 231-249. O
The dilogarithm function in geometry and number theory.
Zagier D. : Amer. Math. Monthly 104 (1997), No.8, 705-709. #154
Newman´s short proof of the prime number theorem.
Zaguskin V. L. : Pergamon Press N. Y. 1961. O
Handbook of Numerical Methods for Solution of Equations.
Zajta A. J. & Pandikov M. : Math. Comp. 29 (1975), 566-572. viii
Conversion of continued fractions into power series.
Zeilberger D. : J. Math. Anal. Appl. 85 (1982), 114-145. lxxvi
Sister Celine´s technique and its generalizations.
Zeilberger D. : European J. Combinatorics 8 (1987), 461-463. eujc1
A q-Foata proof of the q-Saalschütz identity.
Zeilberger D. : Proc. on q-series & partitions, March 7-11 1988, IMA Vol. 18, Springer (1989), 35-44. O
Identities.
Zeilberger D. : Proc. on q-series & partitions, March 7-11 1988, IMA Vol. 18, Springer (1989), 67-72. O
A one-line school algebra proof of the unimodality of the Gaussian polynomials (n k) for k<20.
Zeilberger D. : Discrete Math. 80 (1990), 207-211. lxxv / upv-i1
A fast algorithm for proving terminating hypergeometric identities.
Zeilberger D. : J. Comput. & Appl. Math. 32 (1990), 321-368. #172
A holonomic systems approach to special functions identities.
Zeilberger D. : Séminaire Lotharingien de Combinatoire 24 (1990), B24b, 28pp. F.ps
Three Recitations on Holonomic Systems and Hypergeometric Series.
Zeilberger D. : J. Symbolic Comp. 11 (1991), 195-204. lxxiii
The method of creative telescoping.
Zeilberger D. : Contemporary Mathematics 143 (1993), 579-607. #170
Closed form (pum intented !).
Zeilberger D. : J. Theoretical Computer Science 117 (1993), 23-38. #172
Identities in search of identity.
Zeilberger D. : The Math. Intelligencer 16 (1994), No.4, 11-14. O
Theorems for a price : Tomorrow´s semi-rigorous mathematical culture.
Zeilberger D. : J. Combin. Theory Ser. A 66 (1994), 17-27. #172
A constant term identity featuring the ubiquitous (and mysterious) Andrews-Mills-Robbins-Rumsey numbers 1,2,7,42,429,...
Zeitlin D. : The Fibonacci Quarterly 2 (1964), No.2, April, 105-107. O
On summation formulas for Fibonacci and Lucas numbers.
Zeng J. : Séminarie Lotharingien de Combinatoire 18 (1987), B18d, 9pp. F.ps
Une Extension d´une Formule de Ramanujan-Bailey.
Zeng J. : Canad. J. Math. 42 (1990), No.4, 607-618. ciii
Sur une formule de Ramanujan-Bailey.
Zeng J. : J. Comput. Appl. Math. 57 (1995), No.3, 413-424. xcix / upv-i1
The q-Stirling numbers, continued fractions and the q-Charlier and q-Laguerre polynomials.
Zeng J. : The Ramanujan Journal 3 (1999), No.1, 45-54. O
A Ramanujan Sequence that Refines the Cayley Formula for Trees.
Zeng J. : Séminaire Lotharingien de Combinatoire 44 (2000), Article B44f, 2pp. F.ps
On the powers of Motzkin paths.
Zhang G. : Appl. Math. Letters 2 (1989), No.2, 199-202. lxxxiii
Bivariate Thiele-type branched continued fraction and general order Padé approximation.
Zhang L. C. : Thesis 1990. F
Some Important Continued Fraction of Ramanujan and Selberg.
Zhang L. C. : J. Math. Anal. & Appl. 150 (1990), No.1, 264-273. #151
Some q-integrals associated with modular forms.
Zhang L. C. : Acta Arith. 57 (1991), No.4, 307-355. iv2
q-difference equations and Ramanujan-Selberg continued fractions.
Zhang L. C. : J. Math. Anal. Appl. 174 (1993), 22-52. v
Ramanujan´s continued fractions for the products of gamma functions.
Zhang L. C. : B.C. Berndt... (Eds.) : Analy. Number Theory... Halberstam V.2 Birkhäuser 199x. lxxv / cxi / ??
Kronecker´s limit formula, class invariants and modular equations. II
Zhang L. C. : Acta Arithm. 82 (1997), 379-392. Lxxv / cxi
Kronecker´s limit formula, class invariants and modular equations. III
Zhang N. Y. & Willianms K. S. : Rocky Mountain J. Math. 23 (1993), No.4, 1581-1592. #169
Some series representations of zeta(2n + 1).
Zhang Z. : The Fibonacci Quarterly 37 (1999), No.3, August, 203-207. O
Generalized Fibonacci Sequences and a Generalization of the Q-Matrix.
Zhao F.-Z. : The Fibonacci Quarterly 37 (1999), No.3, August, 254-257. O
Notes on Reciprocal Series related to Fibonacci and Lucas Numbers.
Zhao F. Z. & Niu F. W. : Pure & Applied Mathematics 13 (1997), No.1, 121-123. cv-3
New proofs of two Rogers-Ramanujan identities.
Zhou Ch. : The Fibonacci Quarterly 37 (1999), No.1, February, 39-45. O
A General Conclusion on Lucas Numbers of the Form px^2 where p is Prime.
Zhu Y. C. : Acta Math. Sinica 7 (1991), No.2, 127-134. xxii
The algebraic independence of certain transcendental continued fractions.
Ziaud Din M. : The Mathematics Student 3 (1936), 141-151. #165
????.
Ziaud Din M. : The Mathematics Student 5 (1938), 1-3. r-O
Some more formulae for the Bernoullian numbers.
Zippel R. : J. Symbolic Comput. 1 (1985), 189-210. cxlvii
Simplifications of expressions involving radicals.
Znojil M. : J. Math. Phys. 30 (1989), No.1, 23-27. cii / cxv
Singular anharmonicities and the analytic continued fractions.
Znojil M. : J. Math. Phys. 31 (1990), No.8, 1955-1961. ci / cxv
The generalized continued fractions and potentials of the Lennard-Jones type.
Zucker I. J. : Math. Proc. Cambridge Philos. Soc. 82 (1977), 111-118. cxxvi
The evaluation in terms of Gamma-functions of the periods of elliptic curves admitting complex multiplication.
Zucker I. J. : SIAM J. Math. Anal. 10 (1979), 192-206. lxxxiv
The summation of series of hyperbolic functions.
Zucker I. J. : SIAM J. Math. Anal. 15 (1984), 406-413. lxxxiv / ?
Some infinite series of exponential and hyperbolic functions.
Zucker I. J. : J. Number Theory 20 (1985), 92-102. cxxiii
On the series Sum(k=1..inf), (2k k)^-1 k^-n and related sums.
Zucker I. J. : J. Phys. A 20 (1987), No.1, L13-L17. cv-2
A systematic way of converting infinite series into infinite products.
Zucker I. J. & Joyce G. S. & Delves R. T. : The Ramanujan Journal 2 (1998), No.3, 317-326. O
On the Evaluation of the Integral INT (0,pi/4) (ln (cos^m/n Phi+- sin^m/n Phi)) dPhi.
Zuckermann H. S. : Duke Math. J. 5 (1939), 88-110. xlvi
Identities analogous to Ramanujan´s identities involving the partition function.
Zuckermann H. S. : Bull. Amer. Math. Soc. 45 (1939), 917-919. lxxvii
The computation of the smaller coefficients of J(t).
Zuckermann H. S. : Trans. Amer. Math. Soc. 45 (1939), 298-321. xciv / civ / cxix
On the coefficients of certain modular forms belonging to subgroups of the modular group.
Zuckermann H. S. : Amer. J. Math. 42 (1940), 127-152. lxxvii
On the expansions of certain modular forms of positive dimension.
Zurl E. : Math. Ann. 110 (1935), 679-717. O
Theorie der reduziert-regelmässigen Kettenbrüche.
Zwillinger D. : 1992 Jones and Barlett Publishers. O
Handbooks of Integration.