New asymptotic estimates for spherical designs

Authors:
Andriy V. Bondarenko;Maryna S. Viazovska
Affiliations:
Department of Mathematical Analysis, Kyiv Taras Shevchenko University, Volodymyrska, 01033 Kyiv, Ukraine and Max Planck Institute for Mathematics, Vivatsgasse 7, 53111 Bonn, Germany;Department of Mathematical Analysis, Kyiv Taras Shevchenko University, Volodymyrska, 01033 Kyiv, Ukraine and Max Planck Institute for Mathematics, Vivatsgasse 7, 53111 Bonn, Germany
Venue:
Journal of Approximation Theory
Year:
2008

Citing 2
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Abstract

Let N(n,t) be the minimal number of points in a spherical t-design on the unit sphere S^n in R^n^+^1. For each n=3, we prove a new asymptotic upper boundN(n,t)=10.