Covering lattice points by subspaces

Details Covering lattice points by subspaces Covering lattice points by subspaces

2001-02-04

arxiv.org/abs/math/0102030v2

Period. Math. Hung. 43 (2001), 93-103

Mathematics

Number Theory

10 pages, AMS-TeX; to appear in Period. Math. Hung.; Corollary to Theorem 3 has been replaced by a weaker version, because the

Scientific paper

We find tight estimates for the minimum number of proper subspaces needed to
cover all lattice points in an n-dimensional convex body symmetric about the
origin. We also find the order of magnitude of the number of (n-1)-dimensional
subspaces induced by the lattice points in a large n-dimensional ball centered
at the origin.

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