%0 Journal Article
%T Spherical designs via Brouwer fixed point theorem
%A Andriy V. Bondarenko
%A Maryna S. Viazovska
%J Mathematics
%D 2008
%I arXiv
%R 10.1137/080738313
%X For each N>=c_d*n^{2d*(d+1)/(d+2)} we prove the existence of a spherical n-design on S^d consisting of N points, where c_d is a constant depending only on $d$.
%U http://arxiv.org/abs/0811.1416v1