On the unit group and the 2-class number of $$\mathbb {Q}(\sqrt{2},\sqrt{p},\sqrt{q})$$

Mohamed Mahmoud Chems-Eddin, Moha Ben Taleb El Hamam, Moulay Ahmed Hajjami
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Abstract

Let \(p\equiv 1\pmod {8}\) and \(q\equiv 7\pmod 8\) be two prime numbers. The purpose of this paper is to compute the unit groups of the fields \(\mathbb {L}=\mathbb {Q}(\sqrt{2}, \sqrt{p}, \sqrt{q})\) and give their 2-class numbers.

Abstract Image

关于单位群和 $$\mathbb {Q}(\sqrt{2},\sqrt{p},\sqrt{q})$$ 的 2 级数
让(p(1/pmod {8})和(q(7/pmod 8)是两个素数。本文的目的是计算域 \(\mathbb {L}=\mathbb {Q}(\sqrt{2}, \sqrt{p}, \sqrt{q})\) 的单位群,并给出它们的二阶数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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