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.
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页码：272 / 292
页数：21
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