The Generalized Riemann Hypothesis from zeros of the zeta function

Abstract

We show that the Generalized Riemann Hypothesis for all Dirichlet L-functions is a consequence of certain conjectural properties of the zeros of the Riemann zeta function. Conversely, we prove that the zeros of $\zeta (s)$ satisfy those properties under GRH.

9 pages; version 3 corrects minor typos, and a dedication has been added