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Mathematical analysis demonstrates that non-trivial zeros of the Riemann zeta function require a real component of one-half, indicating a proof of the 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.
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Toshihiko Ishiwata (2026) studied this question.
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