Two Results Related to the Universality of Zeta-Functions with Periodic Coefficients

被引:0
作者
Roma Kačinskaitė
Brigita Kazlauskaitė
机构
[1] Vytautas Magnus University,Department of Mathematics and Statistics, Faculty of Informatics
来源
Results in Mathematics | 2018年 / 73卷
关键词
Denseness; functional independence; Hurwitz zeta-function; joint approximation; periodic coefficients; probability measure; zeta-function; universality; Primary 11M41; Secondary 11M06; 11M36;
D O I
暂无
中图分类号
学科分类号
摘要
In the paper, we give two results on the investigation of mixed joint universality property of the zeta-functions with periodic coefficients, i.e., we study the joint functional independence and denseness for the collections consisting of periodic zeta- and periodic Hurwitz zeta-functions. We show some generalizations as well.
引用
收藏
相关论文
共 50 条
  • [31] New Aspects of Universality of Hurwitz Zeta-Functions
    A. Laurinčikas
    Analysis Mathematica, 2023, 49 : 183 - 193
  • [32] 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
  • [33] The mixed joint universality for a class of zeta-functions
    Kacinskaite, Roma
    Matsumoto, Kohji
    MATHEMATISCHE NACHRICHTEN, 2015, 288 (16) : 1900 - 1909
  • [34] A Mixed Joint Universality Theorem for Zeta-Functions
    Genys, J.
    Macaitiene, R.
    Rackauskiene, S.
    Siauciunas, D.
    MATHEMATICAL MODELLING AND ANALYSIS, 2010, 15 (04) : 431 - 446
  • [35] New Aspects of Universality of Hurwitz Zeta-Functions
    Laurincikas, A.
    ANALYSIS MATHEMATICA, 2023, 49 (01) : 183 - 193
  • [36] A Discrete Version of the Mishou Theorem Related to Periodic Zeta-Functions
    Balciunas, Aidas
    Jasas, Mindaugas
    Rimkeviciene, Audrone
    MATHEMATICAL MODELLING AND ANALYSIS, 2024, 29 (02) : 331 - 346
  • [37] 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
  • [38] Generalizations of a discrete universality theorem for Hurwitz zeta-functions
    Laurincikas, Antanas
    Rasyte, Jovita
    LITHUANIAN MATHEMATICAL JOURNAL, 2012, 52 (02) : 172 - 180
  • [39] Generalizations of a discrete universality theorem for Hurwitz zeta-functions
    Antanas Laurinčikas
    Jovita Rašytė
    Lithuanian Mathematical Journal, 2012, 52 : 172 - 180
  • [40] Universality of composite functions of periodic zeta functions
    Laurincikas, A.
    SBORNIK MATHEMATICS, 2012, 203 (11) : 1631 - 1646