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2005-29

Lattice point coverings

by Henk, M., Tsintsifas, G..


Series: 2005-29, Preprints

MSC:
52C07 Lattices and convex bodies in $n$ dimensions
11H06 Lattices and convex bodies

Abstract:
We give a simple proof of a necessary and sufficient condition under which any
congruent copy of a given ellipsoid contains an integral point and
study a similar problem for a 3-dimensional parallelepiped.

Keywords:
lattice point coverings, inhomogeneous minimum