Vol. 59, No. 1, 1975

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 331: 1
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
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