Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition

DOI10.1090/S0002-9947-2015-06418-6zbMath1321.11052arXiv1207.5600MaRDI QIDQ5264934

Olav K. Richter, Kathrin Bringmann, Martin Westerholt-Raum

Publication date: 20 July 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5600

zbMATH Keywords

Jacobi formsharmonic Maass-Jacobi forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30) Jacobi forms (11F50) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (11)

\({\mathrm {H}}\)-harmonic Maaß-Jacobi forms of degree 1 ⋮ On the Fourier coefficients of negative index meromorphic Jacobi forms ⋮ Differential operators on Jacobi forms of half integral weight ⋮ Kohnen's limit process for real-analytic Siegel modular forms ⋮ Jacobi forms of indefinite lattice index ⋮ Generators of Jacobi forms are Poincaré series ⋮ Universal mock theta functions and two-variable Hecke-Rogers identities ⋮ Pairings of harmonic Maass-Jacobi forms involving special values of partial \(L\)-functions ⋮ Kac-Wakimoto characters and non-holomorphic Jacobi forms ⋮ The skew-Maass lift. I: The case of harmonic Maass-Jacobi forms ⋮ Spectral decomposition of the cubic Casimir operator associated with Jacobi group

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