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.
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页码：463 / 477
页数：15
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