On Siegel modular forms of weigth 12

DOI10.1515/crll.2001.009zbMath0997.11039OpenAlexW2062920419MaRDI QIDQ2703584

Gabriele Nebe, Boris B. Venkov

Publication date: 7 March 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2001.009

zbMATH Keywords

Siegel modular formHecke operatorsSiegel theta serieseven unimodular latticesSiegel cusp forms of weight 12

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Hecke-Petersson operators, differential operators (several variables) (11F60) Class numbers of quadratic and Hermitian forms (11E41) Automorphism groups of lattices (11H56)

Related Items (12)

Siegel modular forms of weight 13 and the Leech lattice ⋮ On the classification of lattices over \(\mathbb Q(\sqrt{-3})\), which are even unimodular \(\mathbb Z\)-lattices ⋮ Kneser's method of neighbors ⋮ Calculation of Hecke operators on isomorphism classes of even lattices of determinant 2 in dimension 23 and 25 ⋮ Automorphic forms for some even unimodular lattices ⋮ Petersson products of singular and almost singular theta series ⋮ Siegel Modular Forms and Their Applications ⋮ Kneser-Hecke-operators in coding theory ⋮ Finite Weil representations and associated Hecke algebras ⋮ Automorphic Forms on Feit’s Hermitian Lattices ⋮ Universal abelian variety and Siegel modular forms ⋮ Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture

Cites Work

• A note on optimal unimodular lattices

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