Affordable Access

Sums of distances between points of a sphere

Authors
Publisher
International Journal of Mathematics and Mathematical Sciences
Publication Date

Abstract

Given N points on a unit sphere in k+1 dimensional Euclidean space, we obtain an upper bound for the sum of all the distances they determine which improves upon earlier work by K. B. Stolarsky when k is even. We use his method, but derive a variant of W. M. Schmidt's results for the discrepancy of spherical caps which is more suited to the present application.

There are no comments yet on this publication. Be the first to share your thoughts.