location:  Publications → journals → CMB
Abstract view

# Approximation algébrique simultanée de nombres de Liouville

Published:2001-03-01
Printed: Mar 2001
• Damien Roy
 Format: HTML LaTeX MathJax PDF PostScript

## Abstract

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 - Measures of irrationality and of transcendence