Optimal asymptotic bounds for spherical designs

• 成果类型: Article
• 署名作者: Bondarenko, Andriy; Radchenko, Danylo; Viazovska, Maryna
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2013.178.2.2
• 发表日期: 2013
• 页码: 443-452
• 关键词: points

摘要

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.