no. 2

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.

Le but de cet article est de montrer qu’un ensemble quelconque de quatre racines des polynômes quintiques p(x) exhibés par H. Darmon forme sous certaines conditions un système fondamental d’unités de la fermeture normale du corps 𝐐(θ) où p(θ)=0.

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/}
}
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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