On the general Dedekind sums and its reciprocity formula
被引:0
|
作者:
Yi, Yuan
论文数: 0引用数: 0
h-index: 0
机构:
Xi An Jiao Tong Univ, Res Ctr Basic Sci, Xian 710049, Shaanxi, Peoples R ChinaXi An Jiao Tong Univ, Res Ctr Basic Sci, Xian 710049, Shaanxi, Peoples R China
Yi, Yuan
[1
]
机构:
[1] Xi An Jiao Tong Univ, Res Ctr Basic Sci, Xian 710049, Shaanxi, Peoples R China
General Dedekind sums;
Fourier expansion;
Bernoulli polynomial;
reciprocity formula;
D O I:
10.1007/s12044-010-0007-2
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this paper, we prove an interesting reciprocity formula for a certain case of a general Dedekind sums using analytic methods and the Fourier expansion of the Bernoulli polynomials.