On Siegel paramodular forms corresponding to skew-holomorphic Jacobi cusp forms

DOI10.1142/S0129167X20500640zbMath1460.11068OpenAlexW3042814309MaRDI QIDQ5130959

Takuya Miyazaki

Publication date: 31 October 2020

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

Full work available at URL: https://doi.org/10.1142/s0129167x20500640

zbMATH Keywords

skew-holomorphic Jacobi formsparamodular formsMaaß lift

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30) Jacobi forms (11F50)

Cites Work

• A characterization of degree two Siegel cusp forms by the growth of their Fourier coefficients
• The theory of Jacobi forms
• Confluent hypergeometric functions on tube domains
• Jacobi forms and Siegel modular forms: Recent results and problems
• Differential operators, holomorphic projection, and singular forms
• On Fourier-Jacobi expansions of real analytic Eisenstein series of degree 2
• Invariant differential operators on Hermitian symmetric spaces
• Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
• Binary quadratic forms and the Fourier coefficients of elliptic and Jacobi modular forms.
• Packet structure and paramodular forms
• The Saito-Kurokawa lifting and functoriality
• Arithmetical lifting and its applications
• THE CUSP STRUCTURE OF THE PARAMODULAR GROUPS FOR DEGREE TWO
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item