Behaviors of multivariable finite Euler products in probabilistic view

Takahiro Aoyama, Takashi Nakamura

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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 Rd. 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.

Original languageEnglish
Pages (from-to)1691-1700
Number of pages10
JournalMathematische Nachrichten
Issue number17-18
Publication statusPublished - Dec 2013
Externally publishedYes


  • Characteristic function
  • Finite Euler product
  • Infinite divisibility

ASJC Scopus subject areas

  • Mathematics(all)


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