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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Sums of distances between points on a sphere
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by Kenneth B. Stolarsky PDF
Proc. Amer. Math. Soc. 35 (1972), 547-549 Request permission

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 $0 \leqq \lambda \leqq 1$.
References
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • 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