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关于Dedekind和的一些恒等式
陈国慧¹, 刘宝利²
1.海南师范大学数学与统计学院, 海南海口 571158;2.西安航空职业技术学院基础部, 陕西阎良 710089

摘要:

本文研究了关于Dedekind和的一个新的均值问题. 利用特征和的性质以及解析的方法, 获得了两个有趣的均值公式.

关键词: Dedekind和均值公式恒等式

DOI：

分类号:O156.4

基金项目:Supported by the Natural Science Foundation of Hainan Province of China (113006;110004);the Shaanxi Provincial Education Department Foundation (11JK0487) of China

SOME IDENTITIES RELATED TO THE DEDEKIND SUMS

CHEN Guo-hui¹, LIU Bao-li²

1.School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China;2.Department of Basic, Xi'an Aeronautical Polytechnic Institute, Yangliang 710089, China

Abstract:

In this paper, we study a new mean value problem related to the Dedekind sums. By using the properties of character sum and the analytic method, we get two interesting mean value formulae for it.

Key words: the Dedekind sum mean value formula identity