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Proof of the Riemann Hypothesis
Version 1
: Received: 15 October 2024 / Approved: 16 October 2024 / Online: 16 October 2024 (08:28:36 CEST)
Version 2 : Received: 22 October 2024 / Approved: 22 October 2024 / Online: 23 October 2024 (07:28:53 CEST)
Version 2 : Received: 22 October 2024 / Approved: 22 October 2024 / Online: 23 October 2024 (07:28:53 CEST)
How to cite: Shehata, M. Proof of the Riemann Hypothesis. Preprints 2024, 2024101266. https://doi.org/10.20944/preprints202410.1266.v2 Shehata, M. Proof of the Riemann Hypothesis. Preprints 2024, 2024101266. https://doi.org/10.20944/preprints202410.1266.v2
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
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.
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