On the full complex plain, a standard approach is presented to verify that the Riemann Zeta function equation contains no non-trivial zeros. The Riemann Zeta function equation's real and imaginary parts are totally separated. A set of equations regarding a and b is derived by comparing the real and imaginary halves of the Zeta function equation separately. It is demonstrated that this equation set only contains trivial zero solutions. The only method to get potential non-trivial zeros is for and to be equal to zero at the same time. However, it is demonstrated that and cannot be equal to 0 at the same time using the compassion technique of infinite series. So there are no non-trivial solutions to the Riemann Zeta function equation.
Author(S) Details
Mei Xiaochun
Department of Theoretical Physics and Pure Mathematics, Institute of Innovative Physics in Fuzhou, China..
View Book:- https://stm.bookpi.org/NRAMCS-V2/article/view/6793
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