Bondarenko, AndriyRadchenko, DanyloViazovska, Maryna2023-10-042023-10-042023-10-04201310.4007/annals.2013.178.2.2https://infoscience.epfl.ch/handle/20.500.14299/201367In this paper we prove the conjecture of Korevaar and Meyers: for each N≥cdtd, there exists a spherical t-design in the sphere Sd consisting of N points, where cd is a constant depending only on d.Brouwer degreeMarcinkiewicz--Zygmund inequalitiesSpherical designsarea-regular partitionstext::journal::journal article::research article