Evaluating Zeta[s] for all the positive even integers s with Mathematica
Shigeki Matsumoto
shigeki@konan-u.ac.jp
Faculty of Science
Konan University
Okamoto 8-9-1, Higashinada, Kobe 658-8501
Japan
Abstract
In our paper we present one of the easiest way of evaluating Riemann zeta function Zeta[s] for even integers s >1 by using a uniform estimation of a certain trigonometric polynomial. We find out a new recurrence equations for Zeta[s] for even integers s >1 and evaluate all of them with Mathematica.
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