Asymptotic distribution of values of isotropic quadratic forms at $S$-integral points

Jiyoung Han, Seonhee Lim, Keivan Mallahi-Karai

We prove an analogue of a theorem of Eskin-Margulis-Mozes: suppose we are given a finite set of places $S$ over $\mathbb{Q}$ containing the archimedean place and excluding the prim…