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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