Fine-scale statistics for ${\mathbb{Q}}^n$

Gaurav Aggarwal, Anish Ghosh, Jens Marklof

We study the distribution of rational points in ${\mathbb{R}}^n$, with denominators restricted to the interval $[Q-\Delta ,Q]$, and $Q,\Delta \to \infty$ such that $\Delta /Q\to 0$. Previous results i…