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...
Glavni avtor: | Mohamed Mahmoud Chems-Eddin |
---|---|
Format: | Article |
Jezik: | English |
Izdano: |
Institute of Mathematics of the Czech Academy of Science
2023-07-01
|
Serija: | Mathematica Bohemica |
Teme: | |
Online dostop: | http://mb.math.cas.cz/full/148/2/mb148_2_7.pdf |
Podobne knjige/članki
-
The unit group of some fields of the form $\mathbb{Q}(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l})$
od: Moha Ben Taleb El Hamam
Izdano: (2024-04-01) -
Note on the Hilbert 2-class field tower
od: Abdelmalek Azizi, et al.
Izdano: (2022-12-01) -
On the capitulation of the $2$-ideal classes of the field Q(\sqrt{pq_1q_2}, i) of type (2, 2, 2)
od: Abdelmalek Azizi, et al.
Izdano: (2019-03-01) -
On the strongly ambiguous classes of some biquadratic number fields
od: Abdelmalek Azizi, et al.
Izdano: (2016-10-01) -
On the continued fraction expansions of $(1+\protect \sqrt{pq})/2$ and $\protect \sqrt{pq}$
od: Louboutin, Stéphane R.
Izdano: (2021-11-01)