Bounds on the lattice point enumerator via slices and projections
Metric Geometry
2020-05-01 v2
Abstract
Gardner, Gronchi and Zong posed the problem to find a discrete analogue of M. Meyer's inequality bounding the volume of a convex body from below by the geometric mean of the volumes of its slices with the coordinate hyperplanes. Motivated by this problem, for which we provide a first general bound, we study in a more general context the question to bound the number of lattice points of a convex body in terms of slices as well as projections.
Cite
@article{arxiv.2004.14097,
title = {Bounds on the lattice point enumerator via slices and projections},
author = {Ansgar Freyer and Martin Henk},
journal= {arXiv preprint arXiv:2004.14097},
year = {2020}
}