On the divisibility of the class number of imaginary quadratic fields

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Katsumasa Ishii

关键词: Imaginary quadratic field;    class number;    divisibility.;   

DOI  :  10.3792/pjaa.87.142

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

Let $U$ be an integer with $U>1$. If $n$ is even with $n\geq 6$, then the class number of $\mathbf{Q}(\sqrt{1-4U^{n}})$ is divisible by $n$ except $(U,n)=(13,8)$.

【 授权许可】

Unknown