Canadian Mathematical Society
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Abstract view

Approximation algébrique simultanée de nombres de Liouville

Open Access article
 Printed: Mar 2001
  • Damien Roy
Format:   HTML   LaTeX   MathJax   PDF   PostScript  


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

© Canadian Mathematical Society, 2017 :