A Blichfeldt-type inequality for centrally symmetric convex bodies
Metric Geometry
2013-10-25 v1
Abstract
In this note, we derive an asymptotically sharp upper bound on the number of lattice points in terms of the volume of centrally symmetric convex bodies. Our main tool is a generalization of a result of Davenport that bounds the number of lattice points in terms of volumes of suitable projections.
Keywords
Cite
@article{arxiv.1203.4075,
title = {A Blichfeldt-type inequality for centrally symmetric convex bodies},
author = {Matthias Henze},
journal= {arXiv preprint arXiv:1203.4075},
year = {2013}
}
Comments
9 pages