Class number formulae in the form of a product of determinants in function fields

被引：5

作者：

Ahn, J ^{[1
]}

Choi, S

Jung, H

机构：

[1] Korea Adv Inst Sci & Technol, Dept Math, Taejon 305701, South Korea

[2] Chungbuk Natl Univ, Dept Math Educ, Cheongju 361763, Chungbuk, South Korea

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2005年 / 78卷

关键词：

cyclotomic function fields; class number;

D O I：

10.1017/S1446788700008053

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we generalize the Koera's group-determinant formulae to obtain the real and relative class number formulae of any subfield of cyclotomic function fields with arbitrary conductor in the form of a product of determinants. From these formulae, we generalize the relative class number formula of Rosen and Bae-Kang and obtain analogous results of Tsumura and Hirabayashi for an inter-mediate field in the tower of cyclotomic function fields with prime power conductor.

引用

页码：227 / 238

页数：12

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