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Hecke actions on certain strongly modular genera of lattices
Authors:Gabriele Nebe  Maria Teider
Affiliation:(1) Lehrstuhl D für Mathematik, RWTH Aachen, D-52056 Aachen, Germany;(2) Abteilung Reine Mathematik, Universität Ulm, D-89069 Ulm, Germany
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.Received: 10 September 2004
Keywords:11F46  11H06
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