On units of some fields of the form
Mathematica Bohemica (2023)
- Volume: 148, Issue: 2, page 237-242
- ISSN: 0862-7959
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topChems-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 148.2 (2023): 237-242. <http://eudml.org/doc/299572>.
@article{Chems2023,
abstract = {Let $p\equiv 1\hspace\{4.44443pt\}(\@mod \; 8)$ and $q\equiv 3\hspace\{4.44443pt\}(\@mod \; 8)$ be two prime integers and let $\ell \notin \lbrace -1, p, q\rbrace $ 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 $\mathbb \{Q\}\big (\sqrt\{2\}, \sqrt\{p\}, \sqrt\{q\}, \sqrt\{-\ell \} \big )$.},
author = {Chems-Eddin, Mohamed Mahmoud},
journal = {Mathematica Bohemica},
keywords = {multiquadratic number field; unit group; fundamental system of units},
language = {eng},
number = {2},
pages = {237-242},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On units of some fields of the form $\mathbb \{Q\}\big (\sqrt\{2\}, \sqrt\{p\}, \sqrt\{q\}, \sqrt\{-l\}\big )$},
url = {http://eudml.org/doc/299572},
volume = {148},
year = {2023},
}
TY - JOUR
AU - Chems-Eddin, Mohamed Mahmoud
TI - On units of some fields of the form $\mathbb {Q}\big (\sqrt{2}, \sqrt{p}, \sqrt{q}, \sqrt{-l}\big )$
JO - Mathematica Bohemica
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 148
IS - 2
SP - 237
EP - 242
AB - Let $p\equiv 1\hspace{4.44443pt}(\@mod \; 8)$ and $q\equiv 3\hspace{4.44443pt}(\@mod \; 8)$ be two prime integers and let $\ell \notin \lbrace -1, p, q\rbrace $ 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 $\mathbb {Q}\big (\sqrt{2}, \sqrt{p}, \sqrt{q}, \sqrt{-\ell } \big )$.
LA - eng
KW - multiquadratic number field; unit group; fundamental system of units
UR - http://eudml.org/doc/299572
ER -
References
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