Moments of central values of quartic Dirichlet L-functions

被引：6

作者：

Gao, Peng ^{[1
]}

Zhao, Liangyi ^{[2
]}

机构：

[1] Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China

[2] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

来源：

JOURNAL OF NUMBER THEORY | 2021年 / 228卷

关键词：

Quartic Dirichlet character; Quartic large sieve; Moments of L-functions; SERIES; TWISTS;

D O I：

10.1016/j.jnt.2021.04.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：342 / 358

页数：17

共 50 条

[21] Small values of Dirichlet L-functions at 1
Vaughan, RC
ANALYTIC NUMBER THEORY, VOL. 2 - PROCEEDINGS OF A CONFERENCE IN HONOR OF HEINI HALBERSTAM, 1996, 139 : 755 - 766
[22] Extreme values of Dirichlet L-functions at 1
Montgomery, HL
Vaughan, RC
NUMBER THEORY IN PROGRESS, VOLS 1 AND 2: VOL 1: DIOPHANTINE PROBLEMS AND POLYNOMIALS; VOL 2: ELEMENTARY AND ANALYTIC NUMBER THEORY;, 1999, : 1039 - 1052
[23] On special values of certain Dirichlet L-functions
Gun, Sanoli
Ramakrishnan, B.
RAMANUJAN JOURNAL, 2008, 15 (02): : 275 - 280
[24] Upper bounds for the moments of derivatives of Dirichlet L-functions
Sono, Keiju
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (06): : 848 - 860
[25] Mixed moments of the Riemann zeta and Dirichlet L-functions
Kaneko, Ikuya
MATHEMATISCHE ZEITSCHRIFT, 2025, 309 (02)
[26] Bounds for moments of Dirichlet L-functions to a fixed modulus
Gao, Peng
MATHEMATISCHE ZEITSCHRIFT, 2024, 307 (04)
[27] Moments and zero density estimates for Dirichlet L-functions
Sono, Keiju
TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (05) : 2050 - 2072
[28] Multiple Dirichlet series and moments of zeta and L-functions
Diaconu, A
Goldfeld, D
Hoffstein, J
COMPOSITIO MATHEMATICA, 2003, 139 (03) : 297 - 360
[29] Twisted first moment of central values of primitive quadratic Dirichlet L-functions
Gao, Peng
Zhao, Liangyi
ACTA ARITHMETICA, 2025,
[30] Non-zero central values of Dirichlet twists of elliptic L-functions
Kisilevsky, Hershy
Nam, Jungbae
JOURNAL OF NUMBER THEORY, 2025, 266 : 166 - 194

← 1 2 3 4 5 →