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Exploring the Euler Gamma and Riemann Zeta Functions

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Visit this site: http://home.versatel.nl/poezenbroek/Largefiles/Zetafunc.htm

Author:Sjoerd J.Schaper
Description: A graphic Euler gamma and Riemann zeta explorer, built around the binomial version of Peter Borwein's "An Efficient Algorithm for the Riemann Zeta Function" (1995). The program plots function values on the real line, draws Argand diagrams of the mapping of a circle or the critical line, emulates Hardy's function Z(t) and finds zeroes along the way, draws phase diagrams for the ODE system ds/dt = zeta(s), and paints colour portraits representing the complex log or signed magnitude of a) the function values, or b) the secant transformation associated with zeta. At the link you'll find the Basic source code with sample input file, a Freebasic compiled Win32-exe and some pretty zeta screenshots.

Levels: College
Languages: English
Resource Types: Graphics, Topic Tools Miscellaneous
Math Topics: Analytic Number Theory

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