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Fonction de Artin et théorème d'Izumi

Abstract : We study the Artin function taht apperas in the Artin strong apparoximation theorem. We show that in general this function is not bounded by an affine function as conjectured for a long time. We make the link with a result of diophantine approximation in the field of power series in several variables.
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https://tel.archives-ouvertes.fr/tel-00011176
Contributor : Guillaume Rond <>
Submitted on : Monday, December 12, 2005 - 4:05:07 PM
Last modification on : Friday, January 10, 2020 - 9:08:06 PM
Long-term archiving on: : Friday, April 2, 2010 - 11:00:47 PM

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Guillaume Rond. Fonction de Artin et théorème d'Izumi. Mathématiques [math]. Université Paul Sabatier - Toulouse III, 2005. Français. ⟨tel-00011176⟩

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