On the distribution of points of bounded height on equivariant compactifications of vector groups
arXiv:math/0005015
Abstract
We prove asymptotic formulas for the number of rational points of bounded height on smooth equivariant compactifications of the affine space. (Nous établissons un développement asymptotique du nombre de points rationnels de hauteur bornée sur les compactifications équivariantes lisses de l'espace affine.)
The theorem proven is a bit more general than in version 1. Clarification and reorganization of some parts of the paper