Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

A 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)

How to cite: Alhargan, F. A Proof of the Riemann Hypothesis Based on Hadamard Product. Preprints 2020, 2020080156 (doi: 10.20944/preprints202008.0156.v2). Alhargan, F. A Proof of the Riemann Hypothesis Based on Hadamard Product. Preprints 2020, 2020080156 (doi: 10.20944/preprints202008.0156.v2).

Abstract

By unraveling a persistent misconception in the zeta Hadamard product expansion, and employing the zeta functional equation, a concise proof of the Riemann Hypothesis is presented, which conclusively demonstrate 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: 28 September 2020
Commenter: Fayez Alhargan
Commenter's Conflict of Interests: Author
Comment: In this updated version a section was added to define and demonstrate the principle zeros, also a section was added to obtain Hadamard product from Mittag-Leffler's theorem with few steps. The section on the proof of RH updated with clarifying steps as well as adding a validation of the proof. As well as an acknowledgement for reviewers of the first draft.
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