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Hecke actions on certain strongly modular genera of lattices

Gabriele Nebe·Maria Teider
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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.

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Gabriele Nebe, Maria Teider. 2005-03-22. Hecke actions on certain strongly modular genera of lattices. https://doi.org/10.1007/s00013-004-1288-4

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