Counting lattice points and o-minimal structures

Fabrizio Barroero, Martin Widmer

Let $\Lambda$ be a lattice in ${\mathbb{R}}^n$, and let $Z\subseteq {\mathbb{R}}^{m+n}$ be a definable family in an o-minimal structure over $\mathbb{R}$. We give sharp estimates for the number of lattice points in…