By analytically extending the Euler Zeta function, the Riemann Zeta function is obtained. The Riemann Zeta function has zero points, which are trivial and non trivial, respectively. By analyzing the internal structure of the Riemann Zeta function, it was found that the key to the value of 0 in the complex plane of the Riemann Zeta function is sin(sπ)=0, thus proving the validity of the Riemann hypothesis. That is, the real parts of all non trivial zeros of the Riemannian Zeta function are on the complex plane 1/2.

Trivial zero, Non trivial zero, Analytic continuation

Xiaohui Li(2023). Proof that the Real Part of All Non trivial Zeros of Riemann Zeta Functions is 1/2. SQPreprints, Volume 1, Issue 1, Page 42-46, Publish Date: 2023-10-06