Multidimensional Shintani zeta functions and zeta distributions on R^d
Probability
2012-10-05 v3 Number Theory
Abstract
The class of Riemann zeta distribution is one of the classical classes of probability distributions on R. Multidimensional Shintani zeta function is introduced and its definable probability distributions on 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 R^d, is also studied.
Keywords
Cite
@article{arxiv.1204.4042,
title = {Multidimensional Shintani zeta functions and zeta distributions on R^d},
author = {Takahiro Aoyama and Takashi Nakamura},
journal= {arXiv preprint arXiv:1204.4042},
year = {2012}
}
Comments
15 pages. arXiv admin note: text overlap with arXiv:1204.4041