Non trivial zeros of the Riemann zeta function

Walid OUKIL

doi:10.33774/coe-2023-sb63n-v18

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Non trivial zeros of the Riemann zeta function

28 February 2025, Version 18

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Working Paper

Walid OUKIL

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Abstract

In this paper, we consider the representation of the Riemann zeta function $\zeta$ defined by Abel's summation formula. We show that: if $|\zeta(s)|=0$ then $|\zeta(1-s)|\neq0$ for any point $s$ in the critical strip such that $\Re(s)\neq\frac{1}{2}$.

Keywords

Zeta function

Non trivial zeros

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