 |
|
Approximation algébrique simultanée de nombres de Liouville |
Canad. Math. Bull. 44(2001), 115-120
Published:2001-03-01
Printed: Mar 2001
Printed: Mar 2001
- Damien Roy
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 |