Let be the maximal order of the cubic field generated by a zero of for , . We prove that is a fundamental pair of units for , if
Soit l’ordre maximal du corps cubique engendré par une racine de l’equation , où , . Nous prouvons que forment un système fondamental d’unités dans , si
@article{JTNB_2004__16_3_569_0, author = {Ennola, Veikko}, title = {Fundamental units in a family of cubic fields}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {569--575}, publisher = {Universit\'e Bordeaux 1}, volume = {16}, number = {3}, year = {2004}, doi = {10.5802/jtnb.461}, zbl = {1079.11056}, mrnumber = {2144958}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/jtnb.461/} }
TY - JOUR AU - Ennola, Veikko TI - Fundamental units in a family of cubic fields JO - Journal de théorie des nombres de Bordeaux PY - 2004 SP - 569 EP - 575 VL - 16 IS - 3 PB - Université Bordeaux 1 UR - http://archive.numdam.org/articles/10.5802/jtnb.461/ DO - 10.5802/jtnb.461 LA - en ID - JTNB_2004__16_3_569_0 ER -
Ennola, Veikko. Fundamental units in a family of cubic fields. Journal de théorie des nombres de Bordeaux, Volume 16 (2004) no. 3, pp. 569-575. doi : 10.5802/jtnb.461. http://archive.numdam.org/articles/10.5802/jtnb.461/
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