An effective equidistribution result for $SL(2,R)⋉(R^2{)}^{\oplus k}$ and application to inhomogeneous quadratic forms

Andreas Strömbergsson, Pankaj Vishe

Let $G=$SL$(2,R)⋉(R^2{)}^{\oplus k}$ and let $\Gamma$ be a congruence subgroup of SL$(2,Z)⋉(Z^2{)}^{\oplus k}$. We prove a polynomially effective asymptotic equidistribution res…