The universality of zeta-functions
The universality of zeta-functions
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DOI：
10.1023/a:1025797802722
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发表时间：
2003-08-01
影响因子：
1.6
通讯作者：
Laurincikas, A
中科院分区：
文献类型：
--
作者：
Laurincikas, A
本文的第一部分是对zeta函数普适性的综述。讨论了具有欧拉积的ζ函数和不具有欧拉积的ζ函数。此外，联合普遍性定理被认为是。本文第二部分证明了秩小于等于3的有限阿贝尔群的ζ-函数的普适性。
The first part of the paper contains a survey on the universality of zeta-functions. Zeta-functions with Euler's product as well as zeta-functions without Euler's product are discussed. Also, the joint universality theorems are considered. In the second part of the paper the universality of zeta-functions of finite Abelian groups of rank less than or equal to 3 is proved.