New asymptotic estimates for spherical designs

• Autores: Andriy V. Bondarenko, Maryna S. Viazovska
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 152, Nº 1, 2008, págs. 101-106
• Idioma: inglés
• DOI: 10.1016/j.jat.2007.12.001
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• Resumen

  • Let N(n,t) be the minimal number of points in a spherical t-design on the unit sphere Sn in Rn+1. For each n3, we prove a new asymptotic upper boundN(n,t)C(n)tan,where C(n) is a constant depending only on n, a34, a47, a59, a611, a712, a816, a919, a1022, and