Some Series of Imaginary Quadratic Fields with Class Numbers Divisible by 3

被引：0

作者：

Zhao, Jia ^{[1
]}

Ma, Lianrong ^{[1
]}

机构：

[1] Beihang Univ, Sch Econ & Management, Beijing 100191, Peoples R China

来源：

PROCEEDINGS OF THE NINTH INTERNATIONAL CONFERENCE ON INFORMATION AND MANAGEMENT SCIENCES | 2010年 / 9卷

关键词：

imaginary quadratic fields; class number; divisible by 3;

D O I：

暂无

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, by constructing cubic polynomials, we obtain some explicit sequences of imaginary quadratic fields Q(root-d(n)) whose class numbers are divisible by 3. And, what is interesting is that each sequence {d(n)} has the divisibility: d(n) vertical bar d(n+1) for all n.

引用

页码：521 / 523

页数：3

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