MEAN VALUES OF DERIVATIVES OF QUADRATIC PRIME DIRICHLET L-FUNCTIONS IN FUNCTION FIELDS

被引：0

作者：

Jung, Hwanyup ^{[1
]}

机构：

[1] Chungbuk Natl Univ, Dept Math Educ, Cheongju 28644, South Korea

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2022年 / 37卷 / 03期

关键词：

Function fields; derivatives of L-functions; moments of L-functions; quadratic Dirichlet L-functions;

D O I：

10.4134/CKMS.c210205

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish an asymptotic formula for mean value of L(k)(21, chi P) averaging over P2g+1 and over P2g +2 as g-+ infinity in odd characteristic. We also give an asymptotic formula for mean value of L(k)(21,chi u) averaging over Ig+1 and over Fg +1 as g-+ infinity in even characteristic.

引用

页码：635 / 648

页数：14

共 50 条

[31] Hybrid Euler-Hadamard product for quadratic Dirichlet L-functions in function fields
Bui, H. M.
Florea, Alexandra
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2018, 117 : 65 - 99
[32] ASYMPTOTIC EXPANSIONS OF THE MEAN-VALUES OF DIRICHLET L-FUNCTIONS
KATSURADA, M
MATSUMOTO, K
MATHEMATISCHE ZEITSCHRIFT, 1991, 208 (01) : 23 - 39
[33] Applications of multiple Dirichlet series in mean values of L-functions
Zhang, Qiao
MULTIPLE DIRICHLET SERIES, AUTOMORPHIC FORMS, AND ANALYTIC NUMBER THEORY, 2006, 75 : 43 - 57
[34] On a problem related to discrete mean values of Dirichlet L-functions
Elma, Ertan
JOURNAL OF NUMBER THEORY, 2020, 217 : 36 - 43
[35] Zeros of Dirichlet L-functions over function fields
Andrade, Julio C.
Miller, Steven J.
Pratt, Kyle
Trinh, Minh-Tam
COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2014, 8 (03) : 511 - 539
[36] MEAN VALUES OF DERIVATIVES OF L-FUNCTIONS IN EVEN CHARACTERISTIC
Bae, Sunghan
Jung, Hwanyup
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 59 (02) : 431 - 452
[37] BOUNDS FOR MOMENTS OF QUADRATIC DIRICHLET L-FUNCTIONS OF PRIME-RELATED MODULI
Gao, Peng
Zhao, Liangyi
COLLOQUIUM MATHEMATICUM, 2023, 171 (01) : 61 - 77
[38] Selberg's central limit theorem for quadratic dirichlet L-functions over function fields
Darbar, Pranendu
Lumley, Allysa
MONATSHEFTE FUR MATHEMATIK, 2023, 201 (04): : 1027 - 1058
[39] Selberg’s central limit theorem for quadratic dirichlet L-functions over function fields
Pranendu Darbar
Allysa Lumley
Monatshefte für Mathematik, 2023, 201 : 1027 - 1058
[40] On the Mean Square of Dirichlet L-Functions
展涛
Acta Mathematica Sinica,English Series, 1992, (02) : 204 - 224

← 1 2 3 4 5 →