Hecke actions on certain strongly modular genera of lattices
arXiv:math/0503447 · doi:10.1007/s00013-004-1288-4
Abstract
We calculate the action of some Hecke operators on spaces of modular forms spanned by the Siegel theta-series of certain genera of strongly modular lattices closely related to the Leech lattice. Their eigenforms provide explicit examples of Siegel cusp forms.