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Approximation algébrique simultanée de nombres de Liouville

Published online by Cambridge University Press:  20 November 2018

Damien Roy
Damien Roy*
Affiliation:
Département de Mathématiques et de Statistiques Université d’Ottawa Ottawa, Ontario K1N 6N5
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Abstract

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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.

Keywords

11J82
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 44 , Issue 1 , 01 March 2001 , pp. 115 - 120
Copyright
Copyright © Canadian Mathematical Society 2001

References

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