%0 Journal Article
%T Shells of selfdual lattices viewed as spherical designs
%A Claude Pache
%J Mathematics
%D 2005
%I arXiv
%X We find out for which $t$ shells of selfdual lattices and of theirs shadows are spherical $t$-designs. The method uses theta series of lattices, which are modular forms. We analyse fully cubic and Witt lattices, as well as all selfdual lattices of rank at most 24.
%U http://arxiv.org/abs/math/0502313v1