Hecke actions on certain strongly modular genera of lattices

2005/03/22 by Gabriele Nebe, Maria Teider
Mathematics · #math.NT #msc:11F46 #msc:11H06

paper · pdf · doi:10.1007/s00013-004-1288-4

published as Archiv der Mathematik 84 (2005) 46-56

arxiv created 2005/03/22 · arxiv updated 2009/12/01

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.

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