2026-10-13T21:03:19Z https://api.figshare.com/v2/oai

oai:figshare.com:article/31553245 2026-10-01T01:27:50Z category_29827 item_type_12 month_year_10_2026

Proof of Riemann hypothesis Toshihiko Ishiwata (23386432) Algebra and number theory Riemann hyoothesis <p dir="ltr">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.</p> 2026-08-24T00:00:00Z Text Preprint 10.6084/m9.figshare.31553245.v3 https://figshare.com/articles/preprint/Proof_of_Riemann_hypothesis/31553245 CC BY 4.0