Le but de cet article est de montrer qu’un ensemble quelconque de quatre racines des polynômes quintiques exhibés par . Darmon forme sous certaines conditions un système fondamental d’unités de la fermeture normale du corps où .
The purpose of this paper is to show that any set of four roots of the quintic polynomials exhibited by H. Darmon forms under certain conditions a fundamental system of units for the corresponding dihedral fields.
@article{JTNB_2001__13_2_469_0,
author = {Kihel, Omar},
title = {Groupe des unit\'es pour des extensions di\'edrales complexes de degr\'e $10$ sur $Q$},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {469--482},
year = {2001},
publisher = {Universit\'e Bordeaux I},
volume = {13},
number = {2},
mrnumber = {1879669},
zbl = {1012.11096},
language = {fr},
url = {https://www.numdam.org/item/JTNB_2001__13_2_469_0/}
}
TY - JOUR AU - Kihel, Omar TI - Groupe des unités pour des extensions diédrales complexes de degré $10$ sur $Q$ JO - Journal de théorie des nombres de Bordeaux PY - 2001 SP - 469 EP - 482 VL - 13 IS - 2 PB - Université Bordeaux I UR - https://www.numdam.org/item/JTNB_2001__13_2_469_0/ LA - fr ID - JTNB_2001__13_2_469_0 ER -
%0 Journal Article %A Kihel, Omar %T Groupe des unités pour des extensions diédrales complexes de degré $10$ sur $Q$ %J Journal de théorie des nombres de Bordeaux %D 2001 %P 469-482 %V 13 %N 2 %I Université Bordeaux I %U https://www.numdam.org/item/JTNB_2001__13_2_469_0/ %G fr %F JTNB_2001__13_2_469_0
Kihel, Omar. Groupe des unités pour des extensions diédrales complexes de degré $10$ sur $Q$. Journal de théorie des nombres de Bordeaux, Tome 13 (2001) no. 2, pp. 469-482. https://www.numdam.org/item/JTNB_2001__13_2_469_0/
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