A probabilistic interpretation for central zeros of $L$-functions in the Selberg class
Number Theory
2023-07-06 v1 Probability
Abstract
We show that central zeros of -functions in the Selberg class have a probabilistic interpretation by stating an equivalence condition of the Riemann hypothesis for the -functions in terms of infinitely divisible distributions.
Cite
@article{arxiv.2307.02027,
title = {A probabilistic interpretation for central zeros of $L$-functions in the Selberg class},
author = {Takashi Nakamura and Masatoshi Suzuki},
journal= {arXiv preprint arXiv:2307.02027},
year = {2023}
}
Comments
6 pages