Class numbers of some abelian extensions of rational function fields

被引：0

作者：

Bae, SH ^{[1
]}

Jung, HY ^{[1
]}

Ahn, JY ^{[1
]}

机构：

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

来源：

MATHEMATICS OF COMPUTATION | 2004年 / 73卷 / 245期

关键词：

class number; function field;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let P be a monic irreducible polynomial. In this paper we generalize the determinant formula for h(K-Pn(+)) of Bae and Kang and the formula for h(-) (K-Pn) of Jung and Ahn to any subfields K of the cyclotomic function field K-Pn: By using these formulas, we calculate the class numbers h(-) (K), h(K+) of all subfields K of K-P when q and deg(P) are small.

引用

页码：377 / 386

页数：10

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