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