Preprint Article Version 3 Preserved in Portico This version is not peer-reviewed

A Concise Proof of the Riemann Hypothesis Based on Hadamard Product

Version 1 : Received: 4 August 2020 / Approved: 6 August 2020 / Online: 6 August 2020 (10:38:36 CEST)
Version 2 : Received: 25 September 2020 / Approved: 28 September 2020 / Online: 28 September 2020 (10:41:51 CEST)
Version 3 : Received: 3 March 2021 / Approved: 4 March 2021 / Online: 4 March 2021 (09:55:18 CET)

How to cite: Alhargan, F. A Concise Proof of the Riemann Hypothesis Based on Hadamard Product. Preprints 2020, 2020080156 (doi: 10.20944/preprints202008.0156.v3). Alhargan, F. A Concise Proof of the Riemann Hypothesis Based on Hadamard Product. Preprints 2020, 2020080156 (doi: 10.20944/preprints202008.0156.v3).

Abstract

A concise proof of the Riemann Hypothesis is presented by clarifying the Hadamard product expansion over the zeta zeros, demonstrating that the Riemann Hypothesis is true.

Subject Areas

The Riemann Hypothesis; the functional equation; the Riemann zeta function; Hadamard Product

Comments (1)

Comment 1
Received: 4 March 2021
Commenter: Fayez Alhargan
Commenter's Conflict of Interests: Author
Comment: Added two figures to illustrate the locations of the zeta zeros. Also, formulated the proof in one concise equation, as well as  editorial ichanges in the title and abstract.
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