Behaviors of multivariable finite Euler products in probabilistic view
Behaviors of multivariable finite Euler products in probabilistic view
复制标题
概率视角下多变量有限欧拉积的行为
DOI：
10.1002/mana.201200151
复制
发表时间：
2013
影响因子：
1
通讯作者：
Takashi Nakamura
中科院分区：
文献类型：
--
作者：
Takahiro Aoyama;Takashi Nakamura
有限欧拉积是数论中的经典zeta函数之一。在[1]、[2]和[3]中，我们引进了一些多变量zeta函数，并研究了它们在上的可定义概率分布。它们包括生成无限可分的、非无限可分的特征函数的函数，甚至不是特征函数。在本文中，我们处理一些多变量有限欧拉产品，并显示他们如何表现在这样的属性。
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 . 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.