On the mean value of character sums in short intervals

被引：0

作者：

Gao, Jing ^{[1
]}

Liu, Huaning ^{[2
]}

机构：

[1] Xi An Jiao Tong Univ, Dept Math Sci, Xian 710049, Shaanxi, Peoples R China

[2] NW Univ Xian, Dept Math, Xian 710069, Shaanxi, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2013年 / 15卷 / 01期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

Character sums; mean value; short intervals;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we study the mean value of character sums in short intervals [1, q/4] and [1, q/3], and give a few asymptotic formulae, by using the Fourier expansion for character sums, and the mean value theorems of Dirichlet L-functions.

引用

页码：65 / 72

页数：8

共 7 条

[1]

Burgess D. A., 1963, Proc. Lond. Math. Soc, V3, P524

[2] MEAN-VALUES OF CHARACTER SUMS .2. [J].

BURGESS, DA .

MATHEMATIKA, 1987, 34 (67) :1-7

[3]

Burgess DA., 1975, ACTA ARITH, V27, P265, DOI 10.4064/aa-27-1-265-267

[4]

Polya G., 1918, GOTTINGER NACHRICHTE, P21

[5]

SOKOLOVSKII AV, 1982, ACTA ARITH, V41, P27

[6]

Vinogradov I.M., 1918, J PHYS MATH SOC PERM, V1, P94

[7] On a Cochrane sum and its hybrid mean value formula (II) [J].

Zhang, WP .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 276 (01) :446-457

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