On the class number divisibility of pairs of imaginary quadratic fields

JOURNAL OF NUMBER THEORY

卷:184

Article

Iizuka, Yoshichika¹ 

[1] Gakushuin Univ, Dept Math, Toshima Ku, Tokyo 1718588, Japan

关键词: Class numbers;    Quadratic fields;   

DOI  :  10.1016/j.jnt.2017.08.013

来源: Elsevier

【 摘 要 】

We construct an infinite family of pairs of imaginary quadratic fields Q(root D) and Q(root D + 1) with D is an element of Z whose class numbers are both divisible by 3. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free