Remarks on the universality of the periodic zeta function

被引：0
|
作者：
A. Laurinčikas
D. Šiaučiūnas
机构：
[1] Vilnius University,
[2] Siauliai University,undefined
来源：
Mathematical Notes | 2006年 / 80卷
关键词：
Dirichlet series; periodic zeta function; Voronin universality; Hurwitz zeta function; completely multiplicative series; Haar probability measure;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the universality of a Dirichlet series with periodic coefficients. This property is proved in the case of multiplicative coefficients, and in the general case we establish universality in a certain set of analytic functions related to a probability distribution.
引用
收藏
页码：532 / 538
页数：6
相关论文
共 50 条
  • [41] On the periodic zeta-function
    Kačenas A.
    Laurinčikas A.
    Lithuanian Mathematical Journal, 2001, 41 (2) : 168 - 177
  • [42] On joint universality of the Riemann zeta-function and Hurwitz zeta-functions
    Laurincikas, Antanas
    JOURNAL OF NUMBER THEORY, 2012, 132 (12) : 2842 - 2853
  • [43] Joint universality of the Riemann zeta-function and Lerch zeta-functions
    Laurincikas, Antanas
    Macaitiene, Renata
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2013, 18 (03): : 314 - 326
  • [44] On the universality of derived functions of the Riemann zeta-function
    Meyrath, Thierry
    JOURNAL OF APPROXIMATION THEORY, 2011, 163 (10) : 1419 - 1426
  • [45] Discrete universality theorems for the Hurwitz zeta-function
    Buivydas, E.
    Laurincikas, A.
    Macaitiene, R.
    Rasyte, J.
    JOURNAL OF APPROXIMATION THEORY, 2014, 183 : 1 - 13
  • [46] THE RIEMANN HYPOTHESIS AND UNIVERSALITY OF THE RIEMANN ZETA-FUNCTION
    Garunkstis, Ramunas
    Laurincikas, Antanas
    MATHEMATICA SLOVACA, 2018, 68 (04) : 741 - 748
  • [47] Zeros of the Riemann zeta-function and its universality
    Garunkstis, Ramunas
    Laurincikas, Antanas
    Macaitiene, Renata
    ACTA ARITHMETICA, 2017, 181 (02) : 127 - 142
  • [48] Universality of the Riemann zeta-function in short intervals
    Laurincikas, Antanas
    JOURNAL OF NUMBER THEORY, 2019, 204 : 279 - 295
  • [49] Universality of the Hurwitz zeta-function in short intervals
    Laurincikas, Antanas
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2025, 31 (01):
  • [50] Universality of the Selberg zeta-function for the modular group
    Drungilas, Paulius
    Garunkstis, Ramunas
    Kacenas, Audrius
    FORUM MATHEMATICUM, 2013, 25 (03) : 533 - 564
12345