A Graphical Analysis of the Riemann Zeta Function
A Graphical Analysis of the Riemann Zeta Function
is a paper revealing and explaining some of the
aesthetically and mathematically interesting visual patterns
found in the Zeta function by graphing the first n terms of the function on the complex plane.
Graphs
Graph 1 (s = 1/2 + 936391i)
Graph 2 (s = 1/2 936391i)
Graph 3 (s = 1/2 + 210,000,000,000.000i)
Graph 4 (s = 1/2 + 267,653,395,648.848i)
Graph 5 (s = 1/2 + 267,653,395,648.000i)
Images of the Zeta Function viewed as a Terrain Height Map
zetaland (zipped)
Animations of the Zeta Function
Animation 1 (s = 1/2 + 936389i)
Animation 2 (s = 1/2 + 2.10,000,000,000.000)
C Code
zeta3.txt
zeta3_1.txt
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Copyright(C) 2005 Max Radin