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