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.

引用

页码：57 / 66

页数：10

共 13 条

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