On generalized Dedekind sums involving quasi-periodic Euler functions

被引：11

作者：

Kim, Min-Soo ^{[1
]}

Son, Jin-Woo ^{[2
]}

机构：

[1] Kyungnam Univ, Div Cultural Educ, Changwon Si 631701, Gyeongsangnam D, South Korea

[2] Kyungnam Univ, Dept Mech Engn, Changwon Si 631701, Gyeongsangnam D, South Korea

来源：

JOURNAL OF NUMBER THEORY | 2014年 / 144卷

关键词：

Generalized Dedekind sums; Euler polynomials; Quasi-periodic Euler functions; ZETA;

D O I：

10.1016/j.jnt.2014.05.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to give a simple proof for a reciprocity law of generalized Dedekind sums involving quasi-periodic Euler functions by considering the analytic properties of Euler polynomials which is an analogue of the reciprocity law of the classical Dedekind sums dating back to Dedekind [13] in 1892. We also derive an explicit expression for generalized Dedekind sums involving quasi-periodic Euler functions. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：267 / 280

页数：14

共 22 条

[1]

Apostol T. M., 1990, Grad. Texts in Math, V41

[2] GENERALIZED DEDEKIND SUMS AND TRANSFORMATION FORMULAE OF CERTAIN LAMBERT SERIES [J].