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Approximation algébrique simultanée de nombres de Liouville

Open Access article
 Printed: Mar 2001
  • Damien Roy
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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 $\bC^m$ 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.
MSC Classifications: 11J82 show english descriptions Measures of irrationality and of transcendence 11J82 - Measures of irrationality and of transcendence

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