Number Theory

    

Proof of Riemann Hypothesis (2)

Authors: Toshihiko Ishiwata

This paper is a trial to prove Riemann hypothesis which says “All non-trivial zero points of Riemann zeta function ζ(s) exist on the line of Re(s)=1/2.” according to the following process. 1 We have the infinite series A and B from the equation that gives ζ(s) analytic continuation to Re(s)＞0 and the two formulas (1/2+a+bi, 1/2-a-bi) that show non-trivial zero point of ζ(s). The sum of A must be equal to the sum of B. 2 We divide both A and B into the infinite groups after changing terms order of both A and B. 3 We find that the sum of A can be equal to the sum of B if only a=0 by comparing the infinite groups made from A with those from B. Therefore zero point of ζ(s) must be 1/2±bi due to a=0 and other zero point does not exist.

Comments: 23 Pages.

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Submission history

[v1] 2021-01-27 22:17:56
[v2] 2021-02-22 02:48:42

Unique-IP document downloads: 281 times

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