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A note on some Diophantine inequalities over adelic curves
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Journal Article
A note on some Diophantine inequalities over adelic curves
2025
Overview
Sans supposer la propriété de Northcott, nous donnons une majoration pour le nombre de «grandes solutions» d’un système spécial d’inégalités diophantiennes sur les courbes adéliques propres. Ce système est intéressant car il s’agit d’une version renforcée de l’inégalité de Roth pour les courbes adéliques.
Without assuming the Northcott property we provide an upper bound on the number of “big solutions” of a special system of Diophantine inequalities over proper adelic curves. This system is interesting since it is a stronger version of Roth’s inequality for adelic curves.
Publisher
Société Arithmétique de Bordeaux
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