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
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.
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页码:521 / 523
页数:3
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