Riemann's Zeta Function. Numerical Evaluation via its Alternating Relative η(s)

Renaat Van Malderen

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arXiv · 1109.6790

Riemann's Zeta Function. Numerical Evaluation via its Alternating Relative η(s)

Renaat Van Malderen

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Abstract

The paper describes a method for calculating values of Riemann's Zeta function within the critical strip 0< σ <1 and on its boundary. The approach is based on the "Alternating Zeta function" η(s). The actual Riemann Zeta function ζ(s) is easily obtained from η(s). The obtained accuracy, within certain limits of the described method is discussed. A decent scientific calculator suffices to carry out the involved computations.

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Renaat Van Malderen. 2011-10-07. Riemann's Zeta Function. Numerical Evaluation via its Alternating Relative η(s). https://arxiv.org/abs/1109.6790

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