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Independance algebrique des derivees d'une periode du module de Carlitz

Part of: Diophantine approximation, transcendental number theory Arithmetic algebraic geometry

Published online by Cambridge University Press:  09 April 2009

Laurent Denis
Laurent Denis
Affiliation:
Université des Sciences et Technologies de LilleUFR de Mathématiques 59655 Villeneuve d'AsqFrance e-mail: denis@univ-Lillel.fr
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Abstract

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We prove here that the p - 1 first derivatives of the fundamental period of the Carliz module are algebraically independent. For that purpose we will show to use Mahler's method in this situtaion.

MSC classification

Secondary: 11G09: Drinfel'd modules; higher-dimensional motives, etc. 11J85: Algebraic independence; Gel'fond's method
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 69 , Issue 1 , August 2000 , pp. 8 - 18
Copyright
Copyright © Australian Mathematical Society 2000

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