Pick's theorem and sums of lattice points
Levy, Karl, Melvyn B. Nathanson · arXiv (Cornell University) · 2015
Pick's theorem is used to prove that if $P$ is a lattice polygon (that is, the convex hull of a finite set of lattice points in the plane), then every lattice point in the $h$-fold sumset $hP$ is the sum of $h$ lattice points in $P$.