An infinite family of pairs of imaginary quadratic fields with ideal classes of a given order
An infinite family of pairs of imaginary quadratic fields with ideal classes of a given order
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具有给定阶数的理想类的无限族虚数二次场对
DOI：
10.1142/s1793042117500154
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发表时间：
2017
影响因子：
0.7
通讯作者：
T. Komatsu
中科院分区：
文献类型：
--
作者：
T. Komatsu
设n和m是大于1的自然数。本文构造了一个虚二次域ℚ(D)的无限族，使得ℚ(D)和ℚ(Md)都有n阶理想类。
Let n and m be natural numbers greater than one. In this paper, we construct an infinite family of imaginary quadratic fields ℚ(D) such that both ℚ(D) and ℚ(mD) have ideal classes of order n.