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math.MG2015
A discrete version of Koldobsky's slicing inequality
Matthew Alexander, Martin Henk, Artem Zvavitch
Let be a number of integer lattice points contained in a set . In this paper we prove that for each there exists a constant depending on onl…
math.MG2015
Lattice point inequalities for centered convex bodies
Sören Lennart Berg, Martin Henk
We study upper bounds on the number of lattice points for convex bodies having their centroid at the origin. For the family of simplices as well as in the planar case we obtain bes…