Geodesic
On units of some fields of the form $\mathbb {Q}\big (\sqrt 2, \sqrt {p}, \sqrt {q}, \sqrt {-l}\big )$
Mathematica Bohemica, Tome 148 (2023) no. 2, pp. 237-242

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Let $p\equiv 1\pmod {8}$ and $q\equiv 3\pmod 8$ be two prime integers and let $\ell \not \in \{-1, p, q\}$ be a positive odd square-free integer. Assuming that the fundamental unit of $\mathbb {Q}\big (\sqrt {2p}\big ) $ has a negative norm, we investigate the unit group of the fields $\mathbb {Q}\big (\sqrt 2, \sqrt {p}, \sqrt {q}, \sqrt {-\ell } \big )$.
DOI : 10.21136/MB.2022.0128-21
Classification : 11R04, 11R27, 11R29, 11R37
Keywords: multiquadratic number field; unit group; fundamental system of units 
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Chems-Eddin, Mohamed Mahmoud. On units of some fields of the form $\mathbb {Q}\big (\sqrt 2, \sqrt {p}, \sqrt {q}, \sqrt {-l}\big )$. Mathematica Bohemica, Tome 148 (2023) no. 2, pp. 237-242. doi: 10.21136/MB.2022.0128-21

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