Asymptotic behaviors of convolution powers of the Riemann zeta distribution

Takahiro Aoyama, Ryuya Namba, Koki Ota

In probability theory, there are 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. We discuss some asymptotic behaviors of convolution powers of the Riemann zeta distribution.

Lithuanian Mathematical Journal

Springer

https://doi.org/10.1007/s10986-023-09585-0