A TWISTED QUADRATIC MOMENT FOR DIRICHLET L-FUNCTIONS

被引:0
|
作者
Louboutin, Stephane R. [1 ]
机构
[1] Aix Marseille Univ, Inst Math Luminy, F-13288 Marseille 9, France
关键词
L-function; character; mean values; moments; MEAN-VALUES;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Given c, a positive integer, we give an explicit formula for the quadratic moments (x is an element of Xf-) Sigma chi(c)vertical bar L(1,chi)vertical bar(2), where X-f(-) is the set of the odd Dirichlet characters mod f with f > 2.
引用
收藏
页码:1539 / 1544
页数:6
相关论文
共 50 条
  • [21] THE MIXED SECOND MOMENT OF QUADRATIC DIRICHLET L-FUNCTIONS OVER FUNCTION FIELDS
    Djankovic, Goran
    Dokic, Dragan
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021, 51 (06) : 2003 - 2017
  • [22] Real zeros of quadratic Dirichlet L-functions
    J.B. Conrey
    K. Soundararajan
    Inventiones mathematicae, 2002, 150 : 1 - 44
  • [23] Real zeros of quadratic Dirichlet L-functions
    Conrey, JB
    Soundararajan, K
    INVENTIONES MATHEMATICAE, 2002, 150 (01) : 1 - 44
  • [24] Breaking the 1/2-barrier for the twisted second moment of Dirichlet L-functions
    Bui, Hung M.
    Pratt, Kyle
    Robles, Nicolas
    Zaharescu, Alexandru
    ADVANCES IN MATHEMATICS, 2020, 370
  • [25] Dirichlet L-Functions and the Distribution of Quadratic Residues
    Wright, Steve
    QUADRATIC RESIDUES AND NON-RESIDUES: SELECTED TOPICS, 2016, 2171 : 161 - 201
  • [26] The Sixth Power Moment of Dirichlet L-Functions
    J. B. Conrey
    H. Iwaniec
    K. Soundararajan
    Geometric and Functional Analysis, 2012, 22 : 1257 - 1288
  • [27] A note on the fourth moment of Dirichlet L-functions
    Bui, H. M.
    Heath-Brown, D. R.
    ACTA ARITHMETICA, 2010, 141 (04) : 335 - 344
  • [28] The Sixth Power Moment of Dirichlet L-Functions
    Conrey, J. B.
    Iwaniec, H.
    Soundararajan, K.
    GEOMETRIC AND FUNCTIONAL ANALYSIS, 2012, 22 (05) : 1257 - 1288
  • [29] Mollification of the fourth moment of Dirichlet L-functions
    Zacharias, Raphael
    ACTA ARITHMETICA, 2019, 191 (03) : 201 - 257
  • [30] The Second Moment of Twisted Modular L-Functions
    Valentin Blomer
    Djordje Milićević
    Geometric and Functional Analysis, 2015, 25 : 453 - 516