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.
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页码：437 / 441
页数：4
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