EFFICIENTLY GENERATED SPACES OF CLASSICAL SIEGEL MODULAR FORMS AND THE BÖCHERER CONJECTURE

DOI10.1017/S1446788711001121zbMath1285.11078arXiv1002.3883WikidataQ123348819 ScholiaQ123348819MaRDI QIDQ3008164

Martin Westerholt-Raum

Publication date: 14 June 2011

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3883

zbMATH Keywords

Siegel modular formscomputationHecke actionBöcherer conjecture

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Software, source code, etc. for problems pertaining to number theory (11-04)

Related Items (4)

Hyper-algebras of vector-valued modular forms ⋮ How to implement a modular form ⋮ Formulas for central values of twisted spin $L$-functions attached to paramodular forms ⋮ Hecke eigenvalues of Siegel modular forms of ``different weights

Uses Software

• SageMath

Cites Work

• The theory of Jacobi forms
• The Dirichlet series of Koecher and Maaß and modular forms of weight 3/2
• The Magma algebra system. I: The user language
• Some numerical computations concerning spinor zeta functions in genus $\boldsymbol{2}$ at the central point
• On Siegel Modular Forms of Genus Two

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