Behaviors of multivariable finite Euler products in probabilistic view

Details Behaviors of multivariable finite Euler products in probabilistic view Behaviors of multivariable finite Euler products in probabilistic view

2012-04-18

arxiv.org/abs/1204.4043v1

Mathematics

Probability

11 pages

Scientific paper

Finite Euler product is known to be one of the classical zeta functions in number theory. In [1], [2] and [3], we have introduced some multivariable zeta functions and studied their definable probability distributions on R^d. They include functions which generate infinitely divisible, not infinitely divisible characteristic functions and not even to be characteristic functions. In this paper, we treat some multivariable finite Euler products and show how they behave in view of such properties.

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