Soit un nombre algébrique réel de degré dont les conjugués ne sont pas réels. Il existe une unité de l’anneau des entiers de pour laquelle il est possible de décrire l’ensemble de tous les vecteurs meilleurs approximations de .
Let be a real algebraic number of degree over whose conjugates are not real. There exists an unit of the ring of integer of for which it is possible to describe the set of all best approximation vectors of .’
@article{JTNB_2002__14_2_403_0, author = {Chevallier, Nicolas}, title = {Best simultaneous diophantine approximations of some cubic algebraic numbers}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {403--414}, publisher = {Universit\'e Bordeaux I}, volume = {14}, number = {2}, year = {2002}, mrnumber = {2040684}, zbl = {1071.11043}, language = {en}, url = {http://archive.numdam.org/item/JTNB_2002__14_2_403_0/} }
TY - JOUR AU - Chevallier, Nicolas TI - Best simultaneous diophantine approximations of some cubic algebraic numbers JO - Journal de théorie des nombres de Bordeaux PY - 2002 SP - 403 EP - 414 VL - 14 IS - 2 PB - Université Bordeaux I UR - http://archive.numdam.org/item/JTNB_2002__14_2_403_0/ LA - en ID - JTNB_2002__14_2_403_0 ER -
%0 Journal Article %A Chevallier, Nicolas %T Best simultaneous diophantine approximations of some cubic algebraic numbers %J Journal de théorie des nombres de Bordeaux %D 2002 %P 403-414 %V 14 %N 2 %I Université Bordeaux I %U http://archive.numdam.org/item/JTNB_2002__14_2_403_0/ %G en %F JTNB_2002__14_2_403_0
Chevallier, Nicolas. Best simultaneous diophantine approximations of some cubic algebraic numbers. Journal de théorie des nombres de Bordeaux, Tome 14 (2002) no. 2, pp. 403-414. http://archive.numdam.org/item/JTNB_2002__14_2_403_0/
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