Fractional moments of Dirichlet L-functions

被引:10
作者
Heath-Brown, D. R. [1 ]
机构
[1] Math Inst, Oxford OX1 3LB, England
关键词
Dirichlet L-function; average over characters; critical point; fractional moment; upper bound; RIEMANN ZETA-FUNCTION;
D O I
10.4064/aa145-4-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
[No abstract available]
引用
收藏
页码:397 / 409
页数:13
相关论文
共 50 条
[21]   Moments of products of automorphic L-functions [J].
Milinovich, Micah B. ;
Turnage-Butterbaugh, Caroline L. .
JOURNAL OF NUMBER THEORY, 2014, 139 :175-204
[22]   Random matrix theory and moments of moments of L-functions [J].
Andrade, J. C. ;
Best, C. G. .
RANDOM MATRICES-THEORY AND APPLICATIONS, 2023, 12 (03)
[23]   ON A CERTAIN SUM OF THE DERIVATIVE OF DIRICHLET L-FUNCTIONS [J].
Kobayashi, Hirotaka .
TSUKUBA JOURNAL OF MATHEMATICS, 2022, 46 (01) :121-143
[24]   Euler numbers congruences and Dirichlet L-functions [J].
Wang, Nianliang ;
Li, Junzhuang ;
Liu, Duansen .
JOURNAL OF NUMBER THEORY, 2009, 129 (06) :1522-1531
[25]   ON DISCRETE MEAN VALUES OF DIRICHLET L-FUNCTIONS [J].
Elma, Ertan .
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021, 71 (04) :1035-1048
[26]   Large values of quadratic Dirichlet L-functions [J].
Darbar, Pranendu ;
Maiti, Gopal .
MATHEMATISCHE ANNALEN, 2025,
[27]   Joint discrete universality of Dirichlet L-functions [J].
Dubickas, Arturas ;
Laurincikas, Antanas .
ARCHIV DER MATHEMATIK, 2015, 104 (01) :25-35
[28]   Zeros of Dirichlet L-functions on the critical line [J].
Sono, Keiju .
JOURNAL OF NUMBER THEORY, 2025, 271 :348-388
[29]   ON THE VALUE DISTRIBUTION OF TWO DIRICHLET L-FUNCTIONS [J].
Laaksonen, Niko ;
Petridis, Yiannis N. .
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2018, 58 (01) :43-68
[30]   Self-approximation of Dirichlet L-functions [J].
Garunkstis, Ramunas .
JOURNAL OF NUMBER THEORY, 2011, 131 (07) :1286-1295