TY - JOUR
T1 - Behaviors of multivariable finite Euler products in probabilistic view
AU - Aoyama, Takahiro
AU - Nakamura, Takashi
PY - 2013/12
Y1 - 2013/12
N2 - 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.
AB - 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.
KW - Characteristic function
KW - Finite Euler product
KW - Infinite divisibility
UR - http://www.scopus.com/inward/record.url?scp=84888854187&partnerID=8YFLogxK
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U2 - 10.1002/mana.201200151
DO - 10.1002/mana.201200151
M3 - Article
AN - SCOPUS:84888854187
SN - 0025-584X
VL - 286
SP - 1691
EP - 1700
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
IS - 17-18
ER -