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arxiv: 1502.04508 · v1 · pith:V74STUJ5new · submitted 2015-02-16 · 🧮 math.MG

On Lattice Coverings by Simplices

classification 🧮 math.MG
keywords latticesimplicesbodyboundcoveringcoveringsdensitydifference
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By studying the volume of a generalized difference body, this paper presents the first nontrivial lower bound for the lattice covering density by $n$-dimensional simplices.

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