Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 213.05802
Autor: Erdös, Paul; Rogers, C.A.
Title: Covering space with convex bodies (In English)
Source: Acta Arith. 7, 281-285 (1962).
Review: Let K be a convex body in n-dimensional Euclidean space. The authors show that there is a covering of the whole space by translates of K with density less than n · log n+n · log log n+4n such that no point is covered more than e(n · log n+n · log log n+4n) times.
Reviewer: H.Wegmann
Classif.: * 11H31 Lattice packing and covering (number-theoretic results)
11H06 Lattices and convex bodies (number theoretic results)
52C17 Packing and covering in n dimensions (discrete geometry)
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