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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Sums of distances between points on a sphere


Author: Kenneth B. Stolarsky
Journal: Proc. Amer. Math. Soc. 35 (1972), 547-549
MSC: Primary 52A40
DOI: https://doi.org/10.1090/S0002-9939-1972-0303418-3
MathSciNet review: 0303418
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Abstract: An upper bound for the sum of the $ \lambda $th powers of all distances determined by N points on a unit sphere is given for $ 0 \leqq \lambda \leqq 1$.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0303418-3
Article copyright: © Copyright 1972 American Mathematical Society