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

共 50 条

[1] Generalized Dedekind sums and the transformation formula in finite fields
Hamahata, Yoshinori
FINITE FIELDS AND THEIR APPLICATIONS, 2018, 49 : 49 - 61
[2] Generalized Dedekind sums and transformation formulae in function fields
Hamahata, Yoshinori
JOURNAL OF NUMBER THEORY, 2017, 173 : 272 - 292
[3] Dedekind sums in function fields
Hamahata, Yoshinori
MONATSHEFTE FUR MATHEMATIK, 2012, 167 (3-4): : 461 - 480
[4] Dedekind sums in function fields
Yoshinori Hamahata
Monatshefte für Mathematik, 2012, 167 : 461 - 480
[5] Rationality of Dedekind sums in function fields
Hamahata, Yoshinori
RAMANUJAN JOURNAL, 2013, 30 (03): : 437 - 441
[6] Sequences of Dedekind sums in function fields
Hamahata, Yoshinori
THEORY AND APPLICATIONS OF FINITE FIELDS, 2012, 579 : 81 - 89
[7] VALUES OF DEDEKIND SUMS FOR FUNCTION FIELDS
Hamahata, Yoshinori
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2015, 52 (01) : 29 - 35
[8] Dedekind sums with a parameter in function fields
Hamahata, Yoshinori
TOPICS IN FINITE FIELDS, 2015, 632 : 139 - 150
[9] Rationality of Dedekind sums in function fields
Yoshinori Hamahata
The Ramanujan Journal, 2013, 30 : 437 - 441
[10] DENOMINATORS OF DEDEKIND SUMS IN FUNCTION FIELDS
Hamahata, Yoshinori
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2013, 9 (06) : 1423 - 1430

← 1 2 3 4 5 →