Some Notes on Identities for Dirichlet L-functions

被引：4
|
作者：
Ma, Rong [1 ]
Zhang, Yu Long [2 ]
Gruetzmann, Melchior [1 ]
机构：
[1] Northwestern Polytech Univ, Sch Sci, Xian 710072, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Elect & Informat Engn, Xian 710049, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2014年 / 30卷 / 05期
关键词：
Dirichlet L-functions; Dedekind sum; trigonometric formula; Mobius inversion formula; VALUES;
D O I：
10.1007/s10114-014-2642-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let q >= 3 be an integer, and chi be a Dirichlet character modulo q, L(s, chi) denote the Dirichlet L-function corresponding to chi. In this paper, we show some early information on the mean value of the Dirichlet L-functions and give some new identities for Sigma(chi mod q chi(-1)=-1) chi(a)vertical bar L(1, chi)vertical bar(2), where a = 2, 3, or 4. Then we give general identities for the case that the integer a divides q - 1.
引用
收藏
页码：747 / 754
页数：8
相关论文
共 50 条
  • [31] COUNTING ZEROS OF DIRICHLET L-FUNCTIONS
    Bennett, Michael A.
    Martin, Greg
    O'Bryant, Kevin
    Rechnitzer, Andrew
    MATHEMATICS OF COMPUTATION, 2021, 90 (329) : 1455 - 1482
  • [32] ZERO DISTRIBUTION OF DIRICHLET L-FUNCTIONS
    Hu, Pei-Chu
    Wu, Ai-Di
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2016, 41 (02) : 775 - 788
  • [33] Joint Approximation by Dirichlet L-Functions
    Laurincikas, Antanas
    Siauciunas, Darius
    MATHEMATICA SLOVACA, 2022, 72 (01) : 51 - 66
  • [34] On fractional moments of Dirichlet L-functions
    Kačenas A.
    Laurinčikas A.
    Zamarys S.
    Lithuanian Mathematical Journal, 2005, 45 (2) : 173 - 191
  • [35] On the Mean Square of Dirichlet L-Functions
    展涛
    Acta Mathematica Sinica, 1992, (02) : 204 - 224
  • [36] Fractional moments of Dirichlet L-functions
    Heath-Brown, D. R.
    ACTA ARITHMETICA, 2010, 145 (04) : 397 - 409
  • [37] Nonvanishing of Dirichlet L-functions, II
    Rizwanur Khan
    Djordje Milićević
    Hieu T. Ngo
    Mathematische Zeitschrift, 2022, 300 : 1603 - 1613
  • [38] The eighth moment of Dirichlet L-functions
    Chandee, Vorrapan
    Li, Xiannan
    ADVANCES IN MATHEMATICS, 2014, 259 : 339 - 375
  • [39] INEQUALITIES FOR THE ZEROS OF DIRICHLET L-FUNCTIONS
    RYAVEC, C
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1979, 28 (DEC) : 205 - 211
  • [40] On the mean values of dirichlet l-functions
    Bui, H. M.
    Keating, J. P.
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2007, 95 : 273 - 298
12345