# Optimal asymptotic bounds for spherical designs - Mathematics > Metric Geometry

Abstract: In this paper we prove the conjecture of Korevaar and Meyers: for each \$N\gec dt^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\$.

Author: Andriy Bondarenko, Danylo Radchenko, Maryna Viazovska

Source: https://arxiv.org/