Density of Rational Points Near Flat/Rough Hypersurfaces

Rajula Srivastava, Niclas Technau

For $n\ge 3$, let $\mathcal{M}\subseteq {\mathbb{R}}^n$ be a compact hypersurface, parametrized by a homogeneous function of degree $d\in {\mathbb{R}}_{>1}$, with non-vanishing curv…