Polynomials vanishing at lattice points in a convex set

Fabian Gundlach

Let $P$ be a bounded convex subset of ${\mathbb{R}}^n$ of positive volume. Denote the smallest degree of a polynomial $p(X_1,\dots ,X_n)$ vanishing on $P\cap {\mathbb{Z}}^n$ by $r_P$ and d…