How to implement a modular form

DOI10.1016/j.jsc.2011.08.013zbMath1262.11058OpenAlexW1991454581MaRDI QIDQ651876

Martin Westerholt-Raum

Publication date: 19 December 2011

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2011.08.013

zbMATH Keywords

modular formsFourier expansionscomputation

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30) Special categories (18B99)

Related Items (2)

Computing Borcherds products ⋮ PSAGE

Uses Software

• Magma
• NTL
• SageMath
• Python
• GitHub

Cites Work

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• Quaternionic theta constants
• Computations of spaces of Siegel modular cusp forms
• The 1-2-3 of modular forms. Lectures at a summer school in Nordfjordeid, Norway, June 2004
• Modular forms on half-spaces of quaternions
• On certain vector valued Siegel modular forms of degree two
• Automorphic forms with singularities on Grassmannians
• Invariant theory
• The Magma algebra system. I: The user language
• Graded rings of Hermitian modular forms of degree 2
• Some modular varieties of low dimension
• Iwahori-spherical representations of \(\mathrm{GSp}(4)\) and Siegel modular forms of degree 2 with square-free level
• EFFICIENTLY GENERATED SPACES OF CLASSICAL SIEGEL MODULAR FORMS AND THE BÖCHERER CONJECTURE
• Proof of the Alder-Andrews conjecture
• Some numerical computations concerning spinor zeta functions in genus $\boldsymbol{2}$ at the central point
• Computations of Siegel Modular Forms of Genus Two
• An even unimodular 72-dimensional lattice of minimum 8
• On Siegel Modular Forms of Genus Two

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