On the joint universality of periodic zeta functions

被引:0
作者
A. Laurinčikas
R. Macaitiene
机构
[1] Vilnius University,
[2] Šiauliai University,undefined
来源
Mathematical Notes | 2009年 / 85卷
关键词
periodic zeta function; Dirichlet series; analytic function; meromorphic function; zeta function; Lebesgue measure; Euler function; probability measure;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we obtain the joint universality (in the sense of Voronin) of Dirichlet series with periodic multiplicative coefficients. The proof is based on a joint limit theorem in the space of analytic functions.
引用
收藏
页码:51 / 60
页数:9
相关论文
共 50 条
  • [31] Remarks on the universality of the periodic zeta function
    A. Laurinčikas
    D. Šiaučiūnas
    Mathematical Notes, 2006, 80 : 532 - 538
  • [32] THE JOINT DISTRIBUTION OF PERIODIC ZETA-FUNCTIONS
    Kacinskaite, Roma
    Laurincikas, Antanas
    STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2011, 48 (02) : 257 - 279
  • [33] A Weighted Discrete Universality Theorem for Periodic Zeta-Functions. II
    Macaitiene, Renata
    Stoncelis, Mindaugas
    Siauciunas, Darius
    MATHEMATICAL MODELLING AND ANALYSIS, 2017, 22 (06) : 750 - 762
  • [34] On mixed joint discrete universality for a class of zeta-functions. II
    Kacinskaite, Roma
    Matsumoto, Kohji
    LITHUANIAN MATHEMATICAL JOURNAL, 2019, 59 (01) : 54 - 66
  • [35] On mixed joint discrete universality for a class of zeta-functions. II
    Roma Kačinskaitė
    Kohji Matsumoto
    Lithuanian Mathematical Journal, 2019, 59 : 54 - 66
  • [36] The universality of zeta-functions with multiplicative coefficients
    Laurincikas, A
    Slezeviciene, R
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2002, 13 (03) : 243 - 257
  • [37] On Zeros of Periodic Zeta Functions
    A. Laurinčikas
    D. Šiaučiūnas
    Ukrainian Mathematical Journal, 2013, 65 : 953 - 958
  • [38] Joint Discrete Approximation of a Pair of Analytic Functions by Periodic Zeta-Functions
    Balciunas, Aidas
    Garbaliauskiene, Virginija
    Karaliunaite, Julija
    Macaitiene, Renata
    Petuskinaite, Jurgita
    Rimkeviciene, Audrone
    MATHEMATICAL MODELLING AND ANALYSIS, 2020, 25 (01) : 71 - 87
  • [39] Universality of the periodic Hurwitz zeta-function
    Javtokas, A.
    Laurincikas, A.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2006, 17 (10) : 711 - 722
  • [40] On Joint Universality of the Riemann Zeta-Function
    Laurincikas, A.
    MATHEMATICAL NOTES, 2021, 110 (1-2) : 210 - 220