On infinitely divisible distributions related to the Riemann hypothesis
Number Theory
2023-06-16 v1 Probability
Abstract
For the Riemann zeta-function, we introduce a function such that it is a characteristic function of an infinitely divisible distribution on the real line if and only if the Riemann Hypothesis is true.
Keywords
Cite
@article{arxiv.2306.08317,
title = {On infinitely divisible distributions related to the Riemann hypothesis},
author = {Takashi Nakamura and Masatoshi Suzuki},
journal= {arXiv preprint arXiv:2306.08317},
year = {2023}
}
Comments
5 pages. To appear in Statistics and Probability Letters