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**publisher and metadata sources**).By a Danzer set S we shall mean a subset of the ^-dimensional Euclidean space Rn which has the property that every closed convex body of volume one in Rn contains a point of S. L. Danzer has asked if… Continue Reading

1. Let J n be a sphere with volume V ( J n ) in the n -dimensional Euclidean space R n . Let Λ be a lattice of determinant d (Λ) such that every point in R n lies in one at least of the bodies… Continue Reading

Write <rk(n) for the sum of the &th powers of the divisors of n\ o-(n) =<ri(n). I t is known that 1 r(n) =s= na(n) (mod 5), r(n) s a(n) (mod 3) if (n, 3) = 1. The object of this note is to give… Continue Reading

A solution is given for the following Problem of G Fejes Toth: In 3-space find the thinnest lattice of balls such that every straight line meets one of the balls.