Generators of Jacobi forms are Poincaré series

DOI10.1007/s11139-016-9825-xzbMath1426.11052OpenAlexW2529610856MaRDI QIDQ1743619

Olav K. Richter, Howard Skogman

Publication date: 13 April 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-016-9825-x

zbMATH Keywords

weak Jacobi formsMaass-Jacobi-Poincaré seriestheta decomposition

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Jacobi forms (11F50)

Uses Software

• DLMF

Cites Work

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• The theory of Jacobi forms
• Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms
• EXACT FORMULAS FOR COEFFICIENTS OF JACOBI FORMS
• Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition
• On Jacobi Poincare Series of Small weight

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