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 $[Q-\hat{I}”,Q]$, and $Q,\hat{I}”\to \infty$ such that $\hat{I}”/Q\to 0$. Previous result…