Optimal asymptotic bounds for spherical designs

• Autores: Andriy V. Bondarenko, Danylo Radchenko, Maryna S. Viazovska
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 178, Nº 2, 2013, págs. 443-452
• Idioma: inglés
• DOI: 10.4007/annals.2013.178.2.2
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• Resumen

  • In this paper we prove the conjecture of Korevaar and Meyers: for each N=c d t d , there exists a spherical t -design in the sphere S d consisting of N points, where c d is a constant depending only on d .