Hecke actions on certain strongly modular genera of lattices

Details Hecke actions on certain strongly modular genera of lattices Hecke actions on certain strongly modular genera of lattices

2005-03-22

arxiv.org/abs/math/0503447v1

Archiv der Mathematik 84 (2005) 46-56

Mathematics

Number Theory

Scientific paper

10.1007/s00013-004-1288-4

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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