The Universality of Zeta-Functions

被引：0
|
作者：
A. Laurinčikas
机构：
来源：
Acta Applicandae Mathematica | 2003年 / 78卷
关键词：
Dirichlet series; Euler product; support; universality; zeta-function; weak convergence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 ≤3 is proved.
引用
收藏
页码：251 / 271
页数：20
相关论文
共 50 条
  • [1] The universality of zeta-functions
    Laurincikas, A
    ACTA APPLICANDAE MATHEMATICAE, 2003, 78 (1-3) : 251 - 271
  • [2] On Universality of Certain Zeta-functions
    Laurincikas, A.
    Macaitiene, R.
    Mokhov, D.
    Siauciunas, D.
    IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2013, 13 (04): : 72 - 76
  • [3] On Universality of Some Beurling Zeta-Functions
    Gestautas, Andrius
    Laurincikas, Antanas
    AXIOMS, 2024, 13 (03)
  • [4] On Universality of the Riemann and Hurwitz Zeta-Functions
    Antanas Laurinčikas
    Results in Mathematics, 2022, 77
  • [5] On Universality of the Riemann and Hurwitz Zeta-Functions
    Laurincikas, Antanas
    RESULTS IN MATHEMATICS, 2022, 77 (01)
  • [6] The universality of zeta-functions with multiplicative coefficients
    Laurincikas, A
    Slezeviciene, R
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2002, 13 (03) : 243 - 257
  • [7] Joint universality for Lerch zeta-functions
    Lee, Yoonbok
    Nakamura, Takashi
    Pankowski, Lukasz
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2017, 69 (01) : 153 - 161
  • [8] JOINT UNIVERSALITY OF HURWITZ ZETA-FUNCTIONS
    Laurincikas, Antanas
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 86 (02) : 232 - 243
  • [9] Universality theorems for zeta-functions with periodic coefficients
    Laurincikas, A.
    SIBERIAN MATHEMATICAL JOURNAL, 2016, 57 (02) : 330 - 339
  • [10] Joint Universality of the Zeta-Functions of Cusp Forms
    Macaitiene, Renata
    MATHEMATICS, 2021, 9 (17)
12345