Multiple Mixing for adele groups and rational points

Alexander Gorodnik, Ramin Takloo-Bighash, Yuri Tschinkel

Published 2011-12-24Version 1

We prove an asymptotic formula for the number of rational points of bounded height on projective equivariant compactifications of $H\G$, where $H$ is a connected simple algebraic group embedded diagonally into $G := H^n$.