Maximal values of symmetric functions in distances between points

DOI10.7153/mia-2020-23-25zbMath1445.11121OpenAlexW3005102963MaRDI QIDQ5108676

Arturas Dubickas

Publication date: 5 May 2020

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2020-23-25

zbMATH Keywords

unit circleextremal configuration of pointsmaximal sums of distances

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Cites Work

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• Spherical distribution of 5 points with maximal distance sum
• On the sum of powered distances to certain sets of points on the circle
• The maximal conjugate of a non-reciprocal algebraic integer
• On the measure of a nonreciprocal algebraic number
• Distributing many points on spheres: minimal energy and designs
• On the sum of distances determined by a pointset
• On an Inequality of J. W. S. Cassels
• Chebyshev constants for the unit circle
• On the sum of distances betweenn points on a sphere

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