A Proof of Riemann Hypothesis
General Mathematics
2020-05-05 v2
Abstract
The meromorphic function introduced in the Riemann-Zeta function maps the line of onto the unit circle in -space. gives the trivial zeroes of the Riemann-Zeta function . In the range: , does not have nontrivial zeroes. is the necessary condition for the nontrivial zeros of the Riemann-Zeta function. Writing , in the range: , but , even if , the Riemann-Zeta function is non-zero. Based on these arguments, the nontrivial zeros of the Riemann-Zeta function can only be on the critical line. Therefore a proof of the Riemann Hypothesis is presented.
Cite
@article{arxiv.1909.10313,
title = {A Proof of Riemann Hypothesis},
author = {Tao Liu and Juhao Wu},
journal= {arXiv preprint arXiv:1909.10313},
year = {2020}
}
Comments
16 pages, 4 figures