Rationality of Dedekind sums in function fields

被引：0
作者：
Yoshinori Hamahata
机构：
[1] Kansai University,Faculty of Engineering Science
来源：
The Ramanujan Journal | 2013年 / 30卷
关键词：
Dedekind sums; Drinfeld modules; Function fields; 11F20; 11G09;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the previous paper we introduced the higher dimensional Dedekind sum in a function field (Bayad and Hamahata, Acta Arith. 152:71–80, 2012). The purpose of this paper is to present a criterion for the rationality of our Dedekind sum. To do so, we establish a connection between the field of definition of the Drinfeld module ϕ and the field of definition of the higher dimensional Dedekind sum sΛ(a0;a1,…,ad) associated to the A-lattice Λ, which corresponds to ϕ.
引用
收藏
页码：437 / 441
页数：4
相关论文
共 50 条
[21]   Generalized Dedekind sums and the transformation formula in finite fields [J].
Hamahata, Yoshinori .
FINITE FIELDS AND THEIR APPLICATIONS, 2018, 49 :49-61
[22]   Multiple Dedekind-Rademacher sums in finite fields [J].
Bayad, Abdelmejid ;
Hamahata, Yoshinori .
RAMANUJAN JOURNAL, 2014, 35 (03) :493-502
[23]   Dedekind sums in finite characteristic [J].
Hamahata, Yoshinori .
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2008, 84 (07) :89-92
[24]   ON THE DEDEKIND SUMS AND THE QUADRATIC GAUSS SUMS [J].
Wang Tingting ;
Zhang Wenpeng .
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2012, 41 (01) :77-83
[25]   Dedekind zeta-functions and Dedekind sums [J].
Lu, HW ;
Jiao, RZ ;
Ji, CG .
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2002, 45 (08) :1059-1065
[26]   Dedekind zeta-functions and Dedekind sums [J].
Hongwen Lu ;
Rongzheng Jiao ;
Chungang Ji .
Science in China Series A: Mathematics, 2002, 45 :1059-1065
[27]   Dedekind zeta-functions and Dedekind sums [J].
陆洪文 ;
焦荣政 ;
纪春岗 .
Science China Mathematics, 2002, (08) :1059-1065
[28]   Mean values of Goss L-functions and Dedekind sums [J].
Hamahata, Yoshinori .
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2015, 85 (02) :187-196
[29]   Mean values of Goss L-functions and Dedekind sums [J].
Yoshinori Hamahata .
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2015, 85 :187-196
[30]   ON THE MEAN VALUES OF DEDEKIND SUMS AND HARDY SUMS [J].
Liu, Huaning .
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (01) :187-213
12345