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The Generalized Riemann Hypothesis from zeros of a single L-function (2309.03817v1)
Published 7 Sep 2023 in math.NT
Abstract: For each primitive Dirichlet character $\chi$, a hypothesis ${\rm GRH}\dagger[\chi]$ is formulated in terms of zeros of the associated $L$-function $L(s,\chi)$. It is shown that for any such character, ${\rm GRH}\dagger[\chi]$ is equivalent to the Generalized Riemann Hypothesis.
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