Multidimensional Shintani zeta functions and zeta distributions on R^d

Details Multidimensional Shintani zeta functions and zeta distributions on R^d Multidimensional Shintani zeta functions and zeta distributions on R^d

2012-04-18

arxiv.org/abs/1204.4042v1

Mathematics

Probability

13 pages

Scientific paper

The class of Riemann zeta distribution is one of the classical classes of probability distributions on R^d. In [3], multidimensional Shintani zeta function is introduced and definable probability distributions on R^d are studied. In this paper, we revise our definition of the mulridimensional Shintani zeta function as to adjust to general number theory more deeply, and further results which were not obtained in [3] are given as well.

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