Multiple Mixing for adele groups and rational points
  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 $G := H^n$. 
Alexander Gorodnik, Ramin Takloo-Bighash, and Yuri Tschinkel
math.NT math.AG math.DS