Hardy, G.H. (1914) Sur les zéros de la fonction ζ (s) de Riemann. Comptes rendus hebdomadaires des séances de l’Académie des sciences, 158, 1012-1014.

has been cited by the following article:

• TITLE: On the Absence of Zeros of Riemann Zeta-Function Out of ℜ(z) = 1/2

  AUTHORS: Jorge Julián Sánchez Martínez

  KEYWORDS: Riemann Zeta Function, Analyticity, Weierstrass-Hadamard Product, Representation

  JOURNAL NAME: Advances in Pure Mathematics, Vol.12 No.3, March 18, 2022

  ABSTRACT: This work shows, after a brief introduction to Riemann zeta function , the demonstration that all non-trivial zeros of this function lies on the so-called “critical line”,, the one Hardy demonstrated in his famous work that infinite countable zeros of the above function can be found on it. Thus, out of this strip, the only remaining zeros of this function are the so-called “trivial ones” . After an analytical introduction reminding the existence of a germ from a generic zero lying in , we show through a Weierstrass-Hadamard representation approach of the above germ that non-trivial zeros out of cannot be found.