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},
publisher = {Universit\'e Bordeaux I},
volume = {13},
number = {2},
year = {2001},
zbl = {1012.11096},
mrnumber = {1879669},
language = {fr},
url = {http://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 DA - 2001/// SP - 469 EP - 482 VL - 13 IS - 2 PB - Université Bordeaux I UR - http://www.numdam.org/item/JTNB_2001__13_2_469_0/ UR - https://zbmath.org/?q=an%3A1012.11096 UR - https://www.ams.org/mathscinet-getitem?mr=1879669 LA - fr ID - JTNB_2001__13_2_469_0 ER -
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. http://www.numdam.org/item/JTNB_2001__13_2_469_0/
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