3 papers
math.CO2019
On a discrete John-type theorem
Sören Lennart Berg, Martin Henk
As a discrete counterpart to the classical John theorem on the approximation of (symmetric) -dimensional convex bodies by ellipsoids, Tao and Vu introduced so called general…
math.CO2017
Ehrhart tensor polynomials
Sören Berg, Katharina Jochemko, Laura Silverstein
The notion of Ehrhart tensor polynomials, a natural generalization of the Ehrhart polynomial of a lattice polytope, was recently introduced by Ludwig and Silverstein. We initiate a…
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…