A Blichfeldt-type inequality for centrally symmetric convex bodies

Details A Blichfeldt-type inequality for centrally symmetric convex bodies A Blichfeldt-type inequality for centrally symmetric convex bodies

2012-03-19

arxiv.org/abs/1203.4075v1

Mathematics

Metric Geometry

9 pages

Scientific paper

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.

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