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Covering lattice points by subspaces

Imre Bárány·Gergely Harcos·János Pach·Gábor Tardos
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Abstract

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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Imre Bárány, Gergely Harcos, János Pach, Gábor Tardos. 2001-02-04. Covering lattice points by subspaces. https://doi.org/10.1023/a%3A1015233631926

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