The Generalized Riemann Hypothesis from zeros of the zeta function

William D. Banks

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arXiv · 2303.09510

The Generalized Riemann Hypothesis from zeros of the zeta function

William D. Banks

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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 $ζ(s)$ satisfy those properties under GRH.

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William D. Banks. 2023-09-07. The Generalized Riemann Hypothesis from zeros of the zeta function. https://arxiv.org/abs/2303.09510

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