On the unit group and the $2$-class number of $\mathbb{Q}(\sqrt{2},\sqrt{p},\sqrt{q})$
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| Format: | Preprint |
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2024
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| _version_ | 1866913445630181376 |
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| author | Chems-Eddin, Mohamed Mahmoud Hamam, Moha Ben Taleb El Hajjami, Moulay Ahmed |
| author_facet | Chems-Eddin, Mohamed Mahmoud Hamam, Moha Ben Taleb El Hajjami, Moulay Ahmed |
| contents | Let $p\equiv 1\pmod{8}$ and $q\equiv7\pmod 8$ be two prime numbers. The purpose of this paper is to compute the unit group of the fields $\KK=\QQ(\sqrt 2, \sqrt{p}, \sqrt{q} )$ and give their $2$-class numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17972 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the unit group and the $2$-class number of $\mathbb{Q}(\sqrt{2},\sqrt{p},\sqrt{q})$ Chems-Eddin, Mohamed Mahmoud Hamam, Moha Ben Taleb El Hajjami, Moulay Ahmed Number Theory Let $p\equiv 1\pmod{8}$ and $q\equiv7\pmod 8$ be two prime numbers. The purpose of this paper is to compute the unit group of the fields $\KK=\QQ(\sqrt 2, \sqrt{p}, \sqrt{q} )$ and give their $2$-class numbers. |
| title | On the unit group and the $2$-class number of $\mathbb{Q}(\sqrt{2},\sqrt{p},\sqrt{q})$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2403.17972 |