Dedekind sums and the transformation formula in function fields

被引：1

作者：

Hamahata, Yoshinori ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2016年 / 12卷 / 08期

关键词：

Dedekind sum; Dedekind eta function; function fields;

D O I：

10.1142/S1793042116501232

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Dedekind used the classical Dedekind sum D(a, c) to describe the transformation of log eta(z) under the substitution z' = (az + b)/(cz + d), [GRAPHICS] epsilon SL2(Z). In this paper, we use the Dedekind sum s(a, c) in function fields to describe the transformation of a certain series under the substitution z' = (az + b)/(cz + d), [GRAPHICS] epsilon GL(2)(Fq[T]).

引用

页码：2061 / 2072

页数：12

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