Abstract
Nous discutons de certains aspects de l'approximation diophantienne et de la transcendance inspirés par deux problèmes encore ouverts: trouver une version effective du théorème de finitude de Siegel pour les points entiers sur les courbes et trouver une approche intrinsèque aux résultats de transcendance des valeurs spéciales des fonctions modulaires sans utiliser les variétés abéliennes (problème posé par Th. Schneider).
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Cohen, P.B. Perspectives de l'Approximation Diophantienne et de la Transcendance. The Ramanujan Journal 7, 367–384 (2003). https://doi.org/10.1023/A:1026271918122
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DOI: https://doi.org/10.1023/A:1026271918122