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A rigorous proof of the Riemann hypothesis
12 July 2024, Version 10
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Working Paper
Authors
Yukitaka Abe
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Abstract
We prove the Riemann hypothesis by a new analytic approach.
Keywords
the Riemann hypothesis
the Riemann zeta function
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Version History
Dec 08, 2025 Version 20
Nov 27, 2025 Version 19
Feb 10, 2025 Version 18
Feb 04, 2025 Version 17
Jan 26, 2025 Version 16
Jan 21, 2025 Version 15
Nov 13, 2024 Version 14
Oct 16, 2024 Version 13
Oct 11, 2024 Version 12
Jul 29, 2024 Version 11
Jul 12, 2024 Version 10
Dec 14, 2023 Version 9
Nov 20, 2023 Version 8
Dec 12, 2022 Version 7
Nov 15, 2022 Version 6
Sep 19, 2022 Version 5
Jun 21, 2022 Version 4
May 12, 2022 Version 3
May 11, 2022 Version 2
Apr 11, 2022 Version 1
Version Notes
The title is changed. We give a new corrected proof of Theorem 1 in Version 8.
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DOI
10.33774/coe-2022-d3nj5-v10
D O I: 10.33774/coe-2022-d3nj5-v10 [opens in a new tab]
Author’s competing interest statement
The author(s) have declared they have no conflict of interest with regard to this content
Ethics
The author(s) have declared ethics committee/IRB approval is not relevant to this content
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