Sums of distances between points of a sphere

Glyn Harman

International Journal of Mathematics and Mathematical Sciences, 1982, vol. 5, 1-8

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.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:650584

DOI: 10.1155/S0161171282000647

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