On a Cochrane sum and its hybrid mean value formula

被引：57

作者：

Zhang, WP ^{[1
]}

机构：

[1] Xian Jiaotong Univ, Res Ctr Basic Sci, Xian, Shaanxi, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 267卷 / 01期

关键词：

a sum analogous to Dedekind sum; mean value; asymptotic formula;

D O I：

10.1006/jmaa.2001.7752

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to use a mean value theorem of Dirichlet L-functions to study the asymptotic property of a hybrid mean value of a Cochrane sum and to give an interesting mean value formula. (C) 2002 Elsevier science (USA).

引用

页码：89 / 96

页数：8

共 7 条

[1]

APOSTOL TM, 1976, MODULAR FUNCTIONS DI

[2]

Apostol TM., 1998, INTRO ANAL NUMBER TH

[3]

Carlitz L., 1953, Pacific J. Math., V3, P513

[4] Mean values of dedekind sums [J].

Conrey, JB ;

Fransen, E ;

Klein, R ;

Scott, C .

JOURNAL OF NUMBER THEORY, 1996, 56 (02) :214-226

[5]

HUA LK, 1979, INTRO NUMBER THEORY, P175

[6]

Zhang W., 1996, J. Theor. Nombres Bordeaux, V8, P429, DOI [10.5802/jtnb.179, DOI 10.5802/JTNB.179]

[7] A note on the mean square value of the Dedekind sums [J].

Zhang, WP .

ACTA MATHEMATICA HUNGARICA, 2000, 86 (04) :275-289

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