Vol. 59, No. 1, 1975

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ISSN: 0030-8730
The sum of the distances to certain pointsets on the unit circle

Kenneth Barry Stolarsky

Vol. 59 (1975), No. 1, 241–251
Abstract

Let p1,,pn be points on the unit circle U. For p U define Tλ(p) = |ppi|λ. The extremal behavior of Tλ(p) is completely described in two cases: (i) 0 λ 2 and n = 3 and (ii) 0 λ < 2n and p1,,pn the vertices of a regular n-gon.

Mathematical Subject Classification 2000
Primary: 52A40
Milestones
Received: 19 March 1975
Published: 1 July 1975
Authors
Kenneth Barry Stolarsky