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arXiv · 2309.03817

The Generalized Riemann Hypothesis from zeros of a single L-function

William D. Banks
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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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William D. Banks. 2023-09-07. The Generalized Riemann Hypothesis from zeros of a single L-function. https://arxiv.org/abs/2309.03817

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