05-29
Lattice point coverings
Preprint series: 05-29, Preprints
- MSC:
- 52C07 Lattices and convex bodies in $n$ dimensions, See Also {11H06, 11H31, 11P21}
- 11H06 Lattices and convex bodies, See also {11P21, 52C05, 52C07}
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
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