Andriy Bondarenko

Andriy Bondarenko, Danylo Radchenko, Maryna Viazovska

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