On joint universality of periodic Hurwitz zeta-functions

被引:3
|
作者
Laurincikas, A. [1 ]
机构
[1] Vilnius State Univ, LT-03225 Vilnius, Lithuania
关键词
limit theorem; periodic Hurwitz zeta-function; probability measure; support of a measure; universality; weak convergence;
D O I
10.1007/s10986-008-0008-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a joint universality theorem for a collection of periodic Hurwitz zeta-functions with algebraically independent parameters over the field of rational numbers.
引用
下载
收藏
页码:79 / 91
页数:13
相关论文
共 50 条
  • [31] A joint universality theorem for periodic Hurwitz zeta-functions. II
    A. Laurinčikas
    S. Skerstonaitė
    Lithuanian Mathematical Journal, 2009, 49 : 287 - 296
  • [32] Joint universality for Lerch zeta-functions
    Lee, Yoonbok
    Nakamura, Takashi
    Pankowski, Lukasz
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2017, 69 (01) : 153 - 161
  • [33] A joint universality theorem for periodic Hurwitz zeta-functions. II
    Laurincikas, A.
    Skerstonaite, S.
    LITHUANIAN MATHEMATICAL JOURNAL, 2009, 49 (03) : 287 - 296
  • [34] On Approximation of Analytic Functions by Periodic Hurwitz Zeta-Functions
    Franckevic, Violeta
    Laurincikas, Antanas
    Siauciunas, Darius
    MATHEMATICAL MODELLING AND ANALYSIS, 2019, 24 (01) : 20 - 33
  • [35] Joint universality of periodic zeta-functions with multiplicative coefficients. II
    Laurincikas, Antanas
    Siauciunas, Darius
    Tekore, Monika
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2021, 26 (03): : 550 - 564
  • [37] A Weighted Universality Theorem for Periodic Zeta-Functions
    Macaitiene, Renata
    Stoncelis, Mindaugas
    Siauciunas, Darius
    MATHEMATICAL MODELLING AND ANALYSIS, 2017, 22 (01) : 95 - 105
  • [38] Joint discrete universality of Hurwitz zeta functions
    Laurincikas, A. P.
    SBORNIK MATHEMATICS, 2014, 205 (11) : 1599 - 1619
  • [39] A Joint Limit Theorem for Periodic Hurwitz Zeta-Functions with Algebraic Irrational Parameters
    Geniene, Danute
    Rimkeviciene, Audrone
    MATHEMATICAL MODELLING AND ANALYSIS, 2013, 18 (01) : 149 - 159
  • [40] Universality theorems for zeta-functions with periodic coefficients
    A. Laurinčikas
    Siberian Mathematical Journal, 2016, 57 : 330 - 339