A relative class number formula for an imaginary abelian number field by means of Dedekind sum

被引：3

作者：

Hirabayashi, M ^{[1
]}

机构：

[1] Kanazawa Inst Technol, Nonoichi, Ishikawa 9218501, Japan

来源：

MANUSCRIPTA MATHEMATICA | 2002年 / 109卷 / 02期

关键词：

Number Field; Class Number; Relative Class; Number Formula; Class Number Formula;

D O I：

10.1007/s00229-002-0304-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a relative class number formula for an imaginary abelian number field by means of some "Dedekind sum". This is a generalization of Carlitz and Olson's formula presented in 1955.

引用

页码：223 / 227

页数：5

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