Rational Points Near Manifolds, Homogeneous Dynamics, and Oscillatory Integrals

Damaris Schindler, Rajula Srivastava, Niclas Technau

Let $\mathcal{M}\subset {\mathbb{R}}^n$ be a compact and sufficiently smooth manifold of dimension $d$. Suppose $\mathcal{M}$ is nowhere completely flat. Let $N_{\mathcal{M}}(\delta ,Q)$ d…