Approximation of and by the Riemann Zeta-Function

被引：0
|
作者：
Paul M. Gauthier
机构：
[1] Université de Montréal,Département de mathématiques et de statistique
来源：
Computational Methods and Function Theory | 2011年 / 10卷 / 2期
关键词：
Riemann zeta-function; 11M99; 30K99; 30E10;
D O I：
10.1007/BF03321783
中图分类号：
学科分类号：
摘要：
It is possible to approximate the Riemann zeta-function by meromorphic functions which satisfy the same functional equation and satisfy (respectively do not satisfy) the analogue of the Riemann hypothesis.
引用
收藏
页码：603 / 638
页数：35
相关论文
共 50 条
  • [1] Approximation of and by the Riemann Zeta-Function
    Gauthier, Paul M.
    COMPUTATIONAL METHODS AND FUNCTION THEORY, 2010, 10 (02) : 603 - 638
  • [2] On the Approximation by Mellin Transform of the Riemann Zeta-Function
    Korolev, Maxim
    Laurincikas, Antanas
    AXIOMS, 2023, 12 (06)
  • [3] EFFECTIVE UNIFORM APPROXIMATION BY THE RIEMANN ZETA-FUNCTION
    Garunkstis, Ramunas
    Laurincikas, Antanas
    Matsumoto, Kohji
    Steuding, Joern
    Steuding, Rasa
    PUBLICACIONS MATEMATIQUES, 2010, 54 (01) : 209 - 219
  • [4] ON RIEMANN ZETA-FUNCTION
    BUMP, D
    NG, EKS
    MATHEMATISCHE ZEITSCHRIFT, 1986, 192 (02) : 195 - 204
  • [5] On the Riemann zeta-function
    Littlewood, JE
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1926, 24 : 175 - 201
  • [6] On the Discrete Approximation by the Mellin Transform of the Riemann Zeta-Function
    Garbaliauskiene, Virginija
    Laurincikas, Antanas
    Siauciunas, Darius
    MATHEMATICS, 2023, 11 (10)
  • [7] THE RIEMANN ZETA-FUNCTION
    ATKINSON, FV
    DUKE MATHEMATICAL JOURNAL, 1950, 17 (01) : 63 - 68
  • [8] Approximation by generalized shifts of the Riemann zeta-function in short intervals
    Antanas Laurinčikas
    The Ramanujan Journal, 2021, 56 : 309 - 322
  • [9] Approximation by generalized shifts of the Riemann zeta-function in short intervals
    Laurincikas, Antanas
    RAMANUJAN JOURNAL, 2021, 56 (01): : 309 - 322
  • [10] Discrete Approximation by a Dirichlet Series Connected to the Riemann Zeta-Function
    Laurincikas, Antanas
    Siauciunas, Darius
    MATHEMATICS, 2021, 9 (10)
12345