On the distribution of points of bounded height on equivariant compactifications of vector groups

Mathematics – Number Theory

Scientific paper

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The theorem proven is a bit more general than in version 1. Clarification and reorganization of some parts of the paper

Scientific paper

We prove asymptotic formulas for the number of rational points of bounded
height on smooth equivariant compactifications of the affine space.
(Nous \'etablissons un d\'eveloppement asymptotique du nombre de points
rationnels de hauteur born\'ee sur les compactifications \'equivariantes lisses
de l'espace affine.)

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