Austin, J (2023) Nontrivial zeros of the Riemann zeta function. ResearchGate. (Unpublished)

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Abstract

The Riemann hypothesis, stating that all nontrivial zeros of the Riemann zeta function have real parts equal to 1/2, is one of the most important conjectures in mathematics. In this paper we prove the Riemann hypothesis by solving an integral form of the zeta function for the real parts and showing that a ratio of divergent terms can only be finite and nonzero, as required, when the real parts are exactly 1/2.

Item Type: Article
Additional Information: The final version of this article and all information related to it, can be found on the publication website.
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Faculty of Natural Sciences > School of Chemical and Physical Sciences
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Depositing User: Symplectic
Date Deposited: 21 Apr 2023 13:40
Last Modified: 26 Apr 2023 10:26
URI: https://eprints.keele.ac.uk/id/eprint/12190

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