A Proof of the Generalized Riemann Hypothesis

Posted: 14 Jun 2019 Last revised: 26 May 2022

See all articles by Charaf Ech-Chatbi

Charaf Ech-Chatbi

CALYON; Maybank; Ecole Polytechnique, Palaiseau - CMAP CNRS-UMR 7641 and Ecole Polytechnique

Date Written: June 2, 2019

Abstract

This is a continuation of the paper about the proof of the Riemann Hypothesis 10.13140/RG.2.2.32078.10564. We use the same technique to prove the Generalized Riemann hypothesis (GRH). The technique is based on asymptotic expansions and operations on series. The advantage of our method is that it only uses undergraduate maths which makes it accessible to a wider audience.

Keywords: Generalized Riemann hypothesis; Zeta; Critical Strip; Prime Number Theorem; Millennium Problems; Dirichlet L-functions

Suggested Citation

Ech-Chatbi, Charaf, A Proof of the Generalized Riemann Hypothesis (June 2, 2019). Available at SSRN: https://ssrn.com/abstract=3398007 or http://dx.doi.org/10.2139/ssrn.3398007

Charaf Ech-Chatbi (Contact Author)

CALYON ( email )

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Maybank ( email )

Singapore

Ecole Polytechnique, Palaiseau - CMAP CNRS-UMR 7641 and Ecole Polytechnique ( email )

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Palaiseau, 91128
France

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