Resumen de New asymptotic estimates for spherical designs

Andriy V. Bondarenko, Maryna S. Viazovska

• Let N(n,t) be the minimal number of points in a spherical t-design on the unit sphere Sn in Rn+1. For each n3, we prove a new asymptotic upper boundN(n,t)C(n)tan,where C(n) is a constant depending only on n, a34, a47, a59, a611, a712, a816, a919, a1022, and