Generalized Dedekind sums and transformation formulae in function fields

被引：0

作者：

Hamahata, Yoshinori ^{[1
]}

机构：

[1] Okayama Univ Sci, Dept Appl Math, Ridai Cho 1-1, Okayama 7000005, Japan

来源：

JOURNAL OF NUMBER THEORY | 2017年 / 173卷

关键词：

Dedekind sums; Lambert series; Function fields;

D O I：

10.1016/j.jnt.2016.09.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our previous research involving the use of the Dedekind sum defined by Bayad and the author enabled us to establish the transformation formula for a certain series in function fields. In this work we use periodic functions to introduce the generalized Dedekind sums in function fields to describe transformation formulae for a family of certain series. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：272 / 292

页数：21

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