Proof of Riemann hypothesis

This paper is a trial to prove Riemann hypothesis according to the following process. 1. We make one identity regarding x from one equation that gives Riemann zeta function ζ(s) analytic continuation and 2 formulas (1/2+a±bi, 1/2− a ±bi) that show non-trivial zero point of ζ(s). 2. We find that the above identity holds only at a = 0. 3. Therefore non-trivial zero points of ζ(s) must be 1/2±bi because a cannot have any value but zero.

Authors

Publication Details

Journal
viXra
Published
2026-08-24
DOI
https://doi.org/10.6084/m9.figshare.31553245
Primary Topic
Analytic Number Theory Research
Type
preprint
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preprint

Proof of Riemann hypothesis

Toshihiko Ishiwata
viXra
Analytic Number Theory Research
preprint

Proof of Riemann hypothesis

Toshihiko Ishiwata
preprint en

Abstract

This paper is a trial to prove Riemann hypothesis according to the following process. 1. We make one identity regarding x from one equation that gives Riemann zeta function ζ(s) analytic continuation and 2 formulas (1/2+a±bi, 1/2− a ±bi) that show non-trivial zero point of ζ(s). 2. We find that the above identity holds only at a = 0. 3. Therefore non-trivial zero points of ζ(s) must be 1/2±bi because a cannot have any value but zero.

viXra
Analytic Number Theory Research
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