NOTE ON THE RELATIVE CLASS NUMBER OF THE 7nth CYCLOTOMIC FIELD

被引：0

作者：

Ichimura, Humio ^{[1
]}

机构：

[1] Ibaraki Univ, Fac Sci, Mito, Ibaraki 3108512, Japan

来源：

KYUSHU JOURNAL OF MATHEMATICS | 2013年 / 67卷 / 01期

关键词：

7(n)th cyclotornic field; relative class number;

D O I：

10.2206/kyushujm.67.155

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be an odd prime number, and l a prime number with p not equal l Let h(n)(-) be the relative class number of the p(n+1) th cyclotomic field Q(xi(pn+1)). When p = 3 or 5, it is known that l(sic) h(n)(-) for any n >= 0 if l(2) not equivalent to 1 mod 9 (respectively l(8) # 1 mod 100). We show some corresponding results for the case p = 7

引用

页码：155 / 162

页数：8

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