Hypothesis
Version 1
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A Potential Proof of Riemann Hypothesis
Version 1
: Received: 12 October 2023 / Approved: 17 October 2023 / Online: 17 October 2023 (08:30:27 CEST)
How to cite: Seisdedos García, M. A Potential Proof of Riemann Hypothesis. Preprints 2023, 2023101050. https://doi.org/10.20944/preprints202310.1050.v1 Seisdedos García, M. A Potential Proof of Riemann Hypothesis. Preprints 2023, 2023101050. https://doi.org/10.20944/preprints202310.1050.v1
Abstract
In this study, a simple approach to solving the Riemann Hypothesis, one of the most prominent unsolved problems in the field of Number Theory in mathematics and one of the “Millenium Prize Problems”, is presented. The Riemann Hypothesis, a conjecture about distribution of prime numbers, has remained unsolved since it was first proposed by German mathematician, Bernhard Riemann in 1859. This paper introduces an analytic continuation of the Zeta Function as well as symmetric approach through integration by parts to address this hypothesis. The proposed solution is obtained through analytical continuation in the critical strip 0<Re(s)<1 to establish that Re(s)=1/2.
Keywords
prime numbers; riemann hypothesis; zeta function; analytic continuation; zeros
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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