Dedekind sums with a parameter in finite fields

被引：5
|
作者：
Hamahata, Yoshinori [1 ]
机构：
[1] Okayama Univ Sci, Dept Appl Math, Okayama 7000005, Japan
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2014年 / 28卷
关键词：
Dedekind sum; Apostol-Dedekind sum; Reciprocity law; Finite field;
D O I：
10.1016/j.ffa.2014.01.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We first introduce the multiple Dedekind-Rademacher sum with a parameter in finite fields and establish its reciprocity law. We then construct an analog of the higher-dimensional Apostol-Dedekind sums, and establish their reciprocity laws using the parameterized Dedekind sum. (C) 2014 Elsevier Inc. All rights reserved.
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页码：57 / 66
页数：10
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