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arXiv · 2307.02027

A probabilistic interpretation for central zeros of $L$-functions in the Selberg class

Takashi Nakamura·Masatoshi Suzuki
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Abstract

We show that central zeros of $L$-functions in the Selberg class have a probabilistic interpretation by stating an equivalence condition of the Riemann hypothesis for the $L$-functions in terms of infinitely divisible distributions.

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Takashi Nakamura, Masatoshi Suzuki. 2023-07-05. A probabilistic interpretation for central zeros of $L$-functions in the Selberg class. https://arxiv.org/abs/2307.02027

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