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**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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