A NEW CONJECTURE TO THAT OF RIEMANN

Abstract

This article is a reflection on the localization of zeros in the critical region. We will therefore cite here all the cases where we think of possible zeros in this region, without forgetting to distinguish the case where  and the case where. All this by introducing a new alternative function  to that of "Dirichlet eta"  using the function  introduced by Hardy in the functional equation  . A new Conjecture to that of Riemann is therefore announced, which allows us to see that the Riemann's Hypothesis is not true.