On the upper bound of the orders of Jacobi forms

DOI10.1142/S0129167X22500562zbMath1497.11122OpenAlexW4280543362MaRDI QIDQ5095714

Hiroki Aoki

Publication date: 10 August 2022

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

Full work available at URL: https://doi.org/10.1142/s0129167x22500562

zbMATH Keywords

Jacobi forms

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Jacobi forms (11F50)

Cites Work

• The theory of Jacobi forms
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• Jacobi forms that characterize paramodular forms
• Commutator coverings of Siegel threefolds.
• Modular forms from the Weierstrass functions
• On Jacobi forms of real weights and indices
• On Siegel paramodular forms of degree 2 with small levels
• SIMPLE GRADED RINGS OF SIEGEL MODULAR FORMS, DIFFERENTIAL OPERATORS AND BORCHERDS PRODUCTS
• Estimating Siegel modular forms of genus 2 using Jacobi forms

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