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Behaviors of multivariable finite Euler products in probabilistic view
Author(s) -
Aoyama Takahiro,
Nakamura Takashi
Publication year - 2013
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201200151
Subject(s) - multivariable calculus , mathematics , euler's formula , probabilistic logic , pure mathematics , product (mathematics) , mathematical analysis , statistics , geometry , control engineering , engineering
The finite Euler product is known 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.