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. Preprints2020, 2020080156. https://doi.org/10.20944/preprints202008.0156.v3
Alhargan, F. A Concise Proof of the Riemann Hypothesis Based on Hadamard Product. Preprints 2020, 2020080156. https://doi.org/10.20944/preprints202008.0156.v3
Alhargan, F. A Concise Proof of the Riemann Hypothesis Based on Hadamard Product. Preprints2020, 2020080156. https://doi.org/10.20944/preprints202008.0156.v3
APA Style
Alhargan, F. (2021). A Concise Proof of the Riemann Hypothesis Based on Hadamard Product. Preprints. https://doi.org/10.20944/preprints202008.0156.v3
Chicago/Turabian Style
Alhargan, F. 2021 "A Concise Proof of the Riemann Hypothesis Based on Hadamard Product" Preprints. https://doi.org/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.
Keywords
The Riemann Hypothesis; the functional equation; the Riemann zeta function; Hadamard Product
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.
Commenter: Fayez Alhargan
Commenter's Conflict of Interests: Author