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.
机构:
Yokohama City Univ, Dept Math, Kanazawa Ku, Yokohama, Kanagawa 2360027, JapanYokohama City Univ, Dept Math, Kanazawa Ku, Yokohama, Kanagawa 2360027, Japan
机构:
HBNI, Harish Chandra Res Inst, Chhatnag Rd, Allahabad 211019, Uttar Pradesh, IndiaHBNI, Harish Chandra Res Inst, Chhatnag Rd, Allahabad 211019, Uttar Pradesh, India
Chattopadhyay, Jaitra
Muthukrishnan, Subramani
论文数: 0引用数: 0
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机构:
Indian Inst Informat Technol Design & Mfg, Chennai 600127, Tamil Nadu, IndiaHBNI, Harish Chandra Res Inst, Chhatnag Rd, Allahabad 211019, Uttar Pradesh, India