Preprint Article Version 1 This version is not peer-reviewed

Proof of the Riemann Hypothesis

Version 1 : Received: 15 October 2024 / Approved: 16 October 2024 / Online: 16 October 2024 (08:28:36 CEST)

How to cite: Shehata, M. Proof of the Riemann Hypothesis. Preprints 2024, 2024101266. https://doi.org/10.20944/preprints202410.1266.v1 Shehata, M. Proof of the Riemann Hypothesis. Preprints 2024, 2024101266. https://doi.org/10.20944/preprints202410.1266.v1

Abstract

By the strong relation between ξ function and the Riemann ζ function, we will prove the Riemann hypothesis which states that ”All non-trivial zeros z = x+y i of ζ must lie on the critical line x = 1/2". ”.

Keywords

Complex numbers; Riemann zeta function; Riemann hypothesis; Xi function

Subject

Computer Science and Mathematics, Algebra and Number Theory

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