Group determinant formulas and class numbers of cyclotomic fields

被引：1

作者：

Jung, Hwan Yup ^{[1
]}

Ahn, Jaehyun

机构：

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

[2] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2007年 / 44卷 / 03期

关键词：

cyclotomic unit; cyclotomic function field;

D O I：

10.4134/JKMS.2007.44.3.499

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let m, n be positive integers or monic polynomials in F-q[T] with n/m. Let K-m and K-m(+) be the m-th cyclotomic field and its maximal real subfield, respectively. In this paper we define two matrices D-m,n(+) and D-m,n(-) whose determinants give us the ratios h(O-Km(+))/h(O-Kn(+)) and h-(O-Km)/h-(O-Kn) with some factors, respectively.

引用

页码：499 / 509

页数：11

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