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math.NT2016
Bounds on the number of vertices of sublattice-free lattice polygons
Nikolai Bliznyakov, Stanislav Kondratyev
In this paper we establish bounds on the number of vertices for a few classes of convex sublattice-free lattice polygons. The bounds are essential for proving the formula for the c…
math.NT2016
Existence of sublattice points in lattice polygons
Nikolai Bliznyakov, Stanislav Kondratyev
We state the formula for the critical number of vertices of a convex lattice polygon that guarantees that the polygon contains at least one point of a given sublattice and give a p…