Asymptotic behaviors of convolution powers of the Riemann zeta distribution
Probability
2023-06-05 v1
Abstract
In probability theory, there exist discrete and continuous distributions. Generally speaking, we do not have sufficient kinds and properties of discrete ones compared to the continuous ones. In this paper, we treat the Riemann zeta distribution as a representative of few known discrete distributions with infinite supports. Some asymptotic behaviors of convolution powers of the Riemann zeta distribution are discussed.
Keywords
Cite
@article{arxiv.2201.13397,
title = {Asymptotic behaviors of convolution powers of the Riemann zeta distribution},
author = {Takahiro Aoyama and Ryuya Namba and Koki Ota},
journal= {arXiv preprint arXiv:2201.13397},
year = {2023}
}
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12 pages