Effective equidistribution of S-integral points on symmetric varieties

Abstract

Let K be a global field of characteristic not 2. Let Z = H\G be a symmetric variety defined over K and S a finite set of places of K. We obtain counting and equidistribution results for the S-integral points of Z. Our results are effective when K is a number field. © Association des Annales de l'institut Fourier, 2012, tous droits réservés.