ON THE DIVISIBILITY OF THE CLASS NUMBER OF IMAGINARY QUADRATIC NUMBER FIELDS

被引：19

作者：

Louboutin, Stephane R. ^{[1
]}

机构：

[1] Inst Math Luminy, UMR 6206, F-13288 Marseille 9, France

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 12期

关键词：

Class number; imaginary quadratic field; divisibility;

D O I：

10.1090/S0002-9939-09-10021-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that if at least one of the prime divisors of an odd integer U >= 3 is equal to 3 mod 4, then the ideal class group of the imaginary quadratic field Q(root 1-4U(n)) contains an element of order n.

引用

页码：4025 / 4028

页数：4

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