A Blichfeldt-type inequality for centrally symmetric convex bodies

作者：Henze Matthias^*

来源：Monatshefte fur Mathematik, 2013, 170(3-4): 371-379.

DOI：10.1007/s00605-012-0461-2

• Blichfeldt-type inequalities
• Davenport inequality
• Central symmetry
• Lattice point enumerator
• Lattice points
• Volume inequalities

In this note, we derive an asymptotically sharp upper bound on the number of lattice points in terms of the volume of a centrally symmetric convex body. 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.

• 出版日期2013-6