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Austin, J (2023) Nontrivial zeros of the Riemann zeta function. Academia.edu. (Unpublished)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 |
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Additional Information: | The final version of this article and all information related to it, can be found on the publication website. This publications has been published via a preprint server, and not yet published via journal. Information to be updated in the instance this becomes published. |
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 |
Related URLs: | |
Depositing User: | Symplectic |
Date Deposited: | 02 May 2023 14:30 |
Last Modified: | 02 May 2023 14:30 |
URI: | https://eprints.keele.ac.uk/id/eprint/12333 |
Available Versions of this Item
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Nontrivial zeros of the Riemann zeta function. (deposited 18 Apr 2023 09:25)
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Nontrivial zeros of the Riemann zeta function. (deposited 21 Apr 2023 13:40)
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Nontrivial zeros of the Riemann zeta function. (deposited 26 Apr 2023 11:01)
- Nontrivial zeros of the Riemann zeta function. (deposited 02 May 2023 14:30) [Currently Displayed]
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Nontrivial zeros of the Riemann zeta function. (deposited 26 Apr 2023 11:01)
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Nontrivial zeros of the Riemann zeta function. (deposited 21 Apr 2023 13:40)