Abstract
The class of Riemann zeta distribution is one of the classical classes of probability distributions on $\mathbb{R}$. Multidimensional Shintani zeta function is introduced and its definable probability distributions on $\mathbb{R}^d$ are studied. This class contains some fundamental probability distributions such as binomial and Poisson distributions. The relation with multidimensional polynomial Euler product, which induces multidimensional infinitely divisible distributions on $\mathbb{R}^d$, is also studied.
Citation
Takahiro AOYAMA. Takashi NAKAMURA. "Multidimensional Shintani Zeta Functions and Zeta Distributions on $\mathbb{R}^d$." Tokyo J. Math. 36 (2) 521 - 538, December 2013. https://doi.org/10.3836/tjm/1391177986
Information