Geodesic
Approximation algébrique simultanée de nombres de Liouville
Canadian mathematical bulletin, Tome 44 (2001) no. 1, pp. 115-120

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The purpose of this paper is to show the limitations of the conjectures of algebraic approximation. For this, we construct points of ${{\mathbf{C}}^{m}}$ which do not admit good algebraic approximations of bounded degree and height, when the bounds on the degree and the height are taken from specific sequences. The coordinates of these points are Liouville numbers.
DOI : 10.4153/CMB-2001-014-0
Mots-clés : 11J82 
Roy, Damien. Approximation algébrique simultanée de nombres de Liouville. Canadian mathematical bulletin, Tome 44 (2001) no. 1, pp. 115-120. doi: 10.4153/CMB-2001-014-0
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     title = {Approximation alg\'ebrique simultan\'ee de nombres de {Liouville}},
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     year = {2001},
     volume = {44},
     number = {1},
     doi = {10.4153/CMB-2001-014-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-014-0/}
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