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Explicit solutions to certain inf max problems from Turan power sum theory
Stockholm University, Faculty of Science, Department of Mathematics.
2007 (English)In: Indagationes mathematicae, ISSN 0019-3577, E-ISSN 1872-6100, Vol. 18, no 2, 189-194 p.Article in journal (Refereed) Published
Abstract [en]

In a previous paper [1] we proved that [GRAPHICS] when n + 1 is prime. In this paper we prove that [GRAPHICS] when n - 1 is a prime power, and [GRAPHICS] when n >= 3 is a prime power. We give explicit constructions of n-tuples (z(1),..., z(n)) which we prove are global minima for these problems. These are two of the few times in Turan power sum theory where solutions in the inf max problem can be explicitly calculated.

Place, publisher, year, edition, pages
2007. Vol. 18, no 2, 189-194 p.
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URN: urn:nbn:se:su:diva-55739DOI: 10.1016/S0019-3577(07)00009-2ISI: 000249741200003OAI: oai:DiVA.org:su-55739DiVA: diva2:406714
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authorCount :1Available from: 2011-03-28 Created: 2011-03-28 Last updated: 2017-12-11Bibliographically approved

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