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The Generalized Riemann Hypothesis from zeros of the zeta function (2303.09510v3)
Published 16 Mar 2023 in math.NT
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.