## Proof of the Riemann Hypothesis [final Edition]

**Authors:** Toshiro Takami

Up to now, I have tried to expand this equation and prove Riemann hypothesis with the equation of cos, sin, but the proof was impossible.
However, I realized that a simple formula before expansion can prove it.
The real value is zero only when the real part of s is 1/2.
Non-trivial zeros must always have a real value of zero.
The real part of s being 1/2 is the minimum requirement for s to be a non-trivial zeros.

**Comments:** 6 Pages.

**Download:** **PDF**

### Submission history

[v1] 2019-10-27 19:22:22

[v2] 2019-10-28 18:07:14

[v3] 2019-11-07 16:59:56

[v4] 2019-11-16 14:56:43

[v5] 2019-12-14 00:10:54

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