论文标题
想象的多QuaDratic数字字段$ 3 $和$ 5 $
Imaginary multiquadratic number fields of exponent $3$ and $5$
论文作者
论文摘要
在本文中,我们获得了一个想象中的$ n $ quadratic字段的完整列表,其中每个正整数$ n $均在ERH下,$ 3 $和$ 5 $,其中$ n $ quadratic field是$ 2^n $的数字字段$ 2^n $,表示为$ n $ Quadratic fiepratic Fields。
In this paper we obtain a complete list of imaginary $n$-quadratic fields with class groups of exponent $3$ and $5$ under ERH for every positive integer $n$ where an $n$-quadratic field is a number field of degree $2^n$ represented as the composite of $n$ quadratic fields.