Numerical computation of a certain Dirichlet series attached to Siegel modular forms of degree two

DOI10.1090/S0025-5718-2012-02584-1zbMath1275.11079arXiv1009.3198MaRDI QIDQ2840016

Nils-Peter Skoruppa, Fredrik Strömberg, Nathan C. Ryan

Publication date: 17 July 2013

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

Full work available at URL: https://arxiv.org/abs/1009.3198

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Jacobi forms (11F50)

Related Items (2)

Weil representations associated with finite quadratic modules ⋮ Numerical computation of a certain Dirichlet series attached to Siegel modular forms of degree two

Uses Software

• SageMath

Cites Work

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• The theory of Jacobi forms
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• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• Numerical computation of a certain Dirichlet series attached to Siegel modular forms of degree two
• A trace formula for Jacobi forms.
• Computations of Siegel Modular Forms of Genus Two
• On construction of holomorphic cusp forms of half integral weight
• On a Rankin-Selberg convolution of two variables for Siegel modular forms

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