ON THE MEAN-VALUE FORMULA OF DIRICHLET L-FUNCTIONS (II)

被引：0
|
作者：
ZHANG, WP
机构：
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 1991年 / 34卷 / 06期
关键词：
L-FUNCTION; MEAN VALUE FORMULA; ANALYTIC METHOD;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A sharper asymptotic formula for the mean value [GRAPHICS] (where the summation is over all primitive Dirichlet characters mod q and 0 < sigma < 1) is derived by using the analytic method and the estimate of character sums.
引用
收藏
页码：660 / 675
页数：16
相关论文
共 50 条
  • [41] Nonvanishing of Dirichlet L-functions, II
    Rizwanur Khan
    Djordje Milićević
    Hieu T. Ngo
    Mathematische Zeitschrift, 2022, 300 : 1603 - 1613
  • [42] Nonvanishing of Dirichlet L-functions, II
    Khan, Rizwanur
    Milicevic, Djordje
    Ngo, Hieu T.
    MATHEMATISCHE ZEITSCHRIFT, 2022, 300 (02) : 1603 - 1613
  • [43] ON THE MEAN-VALUE OF DIRICHLET SERIES
    BALAKRISHNAN, UV
    MATHEMATISCHE ZEITSCHRIFT, 1984, 185 (04) : 533 - 537
  • [44] ON CERTAIN MEAN VALUES AND THE VALUE-DISTRIBUTION OF LOGARITHMS OF DIRICHLET L-FUNCTIONS
    Ihara, Yasutaka
    Matsumoto, Kohji
    QUARTERLY JOURNAL OF MATHEMATICS, 2011, 62 (03): : 637 - 677
  • [45] Mean value of Dirichlet series coefficients of Rankin-Selberg L-functions
    Lao, Huixue
    LITHUANIAN MATHEMATICAL JOURNAL, 2017, 57 (03) : 351 - 358
  • [46] MEAN-VALUE ESTIMATES FOR EXPONENTIAL-SUMS AND L-FUNCTIONS - A SPECTRAL THEORETIC APPROACH
    JUTILA, M
    MOTOHASHI, Y
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1995, 459 : 61 - 87
  • [47] Convolution formula for the sums of generalized Dirichlet L-functions
    Balkanova, Olga
    Frolenkov, Dmitry
    REVISTA MATEMATICA IBEROAMERICANA, 2019, 35 (07) : 1973 - 1995
  • [48] ON THE VALUE DISTRIBUTION OF TWO DIRICHLET L-FUNCTIONS
    Laaksonen, Niko
    Petridis, Yiannis N.
    FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2018, 58 (01) : 43 - 68
  • [49] On the discrete mean square of Dirichlet L-functions at 1
    S. Kanemitsu
    Y. Tanigawa
    M. Yoshimoto
    W. Zhang
    Mathematische Zeitschrift, 2004, 248 : 21 - 44
  • [50] The mean square of the dirichlet L-functions in the critical strip
    Nakaya H.
    Lithuanian Mathematical Journal, 2000, 40 (2) : 156 - 165
12345