%0 Journal Article
%T A necessary condition for the existence of the nontrivial zeros of the Riemann zeta function
%A Fayang Qiu
%J Mathematics
%D 2008
%I arXiv
%X Starting from the symmetrical reflection functional equation of the zeta function, we have found that the sigma values satisfying zeta(s) = 0 must also satisfy |zeta(s)| = |zeta(1 - s)|. The sigma values satisfying this requirement are a necessary condition for the existence of the nontrivial zeros. We have shown that sigma = 1/2 is the only numeric solution that satisfies the requirement.
%U http://arxiv.org/abs/0801.4072v4