On the mean value of generalized Dirichlet L-functions with weight of the character sums

被引：0

作者：

Ma, Rong ^{[1
]}

Niu, Yana ^{[1
]}

Wang, Haodong ^{[1
]}

Zhang, Yulong ^{[2
]}

机构：

[1] Northwestern Polytech Univ, Sch Math & Stat, Xian 710072, Shaanxi, Peoples R China

[2] Xi An Jiao Tong Univ, Sch Software, Xian 710049, Shaanxi, Peoples R China

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2021年 / 131卷 / 02期

关键词：

Generalized Dirichlet L-functions; character sums; integer inverse; asymptotic formula; IDENTITIES INVOLVING COEFFICIENTS; SERIES;

D O I：

10.1007/s12044-021-00635-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a prime,. denote a Dirichlet character modulo p. For any integer x (1 <= x <= p - 1), (x) over bar denotes the integer inverse of x such that x (x) over tilde = 1( mod p), we study the following mean value of a kind of character sums with generalized Dirichlet L-functions Sigma chi(-1)=1 |Sigma(p-1)(x=1) chi(x+(x) over bar| |L(1, chi, a)|(2), chi not equal chi 0 where chi(0) is the principal character modulo p, and L(1, chi, a) is the generalized Dirichlet L-functions. In this paper, we will use the analytic method and get a sharp asymptotic formula.

引用

页数：10

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