Class numbers of pure quintic fields

被引：3

作者：

Kobayashi, Hirotomo

机构：

[1] 14-1 Urata, Kimitsu, Chiba

来源：

JOURNAL OF NUMBER THEORY | 2016年 / 160卷

关键词：

Pure quintic fields; Class numbers; Unit groups;

D O I：

10.1016/j.jnt.2015.09.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let m be a fifth power free integer greater than one. Let K be an algebraic number field generated by a fifth root of m over the rational number field. If m has a prime factor p congruent to -1 modulo five, the class number of K is a multiple of five. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：463 / 477

页数：15

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