On units of some fields of the form $\mathbb{Q}\big(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l}\big)$
Let $p\equiv1\pmod8$ and $q\equiv3\pmod8$ 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(\sqrt2, \sq...
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2023-07-01
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| Series: | Mathematica Bohemica |
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| Online Access: | http://mb.math.cas.cz/full/148/2/mb148_2_7.pdf |