Taylor expansions of Jacobi forms and applications to explicit structures of degree two

DOI10.2977/PRIMS/82zbMath1308.11051MaRDI QIDQ713087

Tomoyoshi Ibukiyama

Publication date: 26 October 2012

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

Jacobi formsdifferential operatorsvector valued Siegel modular forms

Mathematics Subject Classification ID

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

Related Items (4)

Taylor expansions of Jacobi forms and linear relations among theta series ⋮ Structures and dimensions of vector valued Jacobi forms of degree two ⋮ Generic differential operators on Siegel modular forms and special polynomials ⋮ One-line formula for automorphic differential operators on Siegel modular forms

Cites Work

• A generalization of vector valued Jacobi forms
• The theory of Jacobi forms
• Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen. II
• Tata lectures on theta. I. With the collaboration of C. Musili, M. Nori, E. Previato, and M. Stillman
• Jacobi forms of higher degree
• On certain vector valued Siegel modular forms of degree two
• The spaces of Siegel cusp forms of degree two and the representation of \(\mathrm{Sp}(2,\mathbb F_ p)\)
• Jacobiformen und Thetareihen. (Jacobi forms and theta series)
• A decomposition theorem for Jacobi forms
• Siegel modular forms of half integral weight and a lifting conjecture
• SIMPLE GRADED RINGS OF SIEGEL MODULAR FORMS, DIFFERENTIAL OPERATORS AND BORCHERDS PRODUCTS
• On Siegel Modular Forms of Genus Two
• On the Graded Ring of Theta-Constants
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