Harmonic Maaß–Jacobi forms of degree 1 with higher rank indices

DOI10.1142/S1793042116501165zbMath1355.11054arXiv1012.2897MaRDI QIDQ2828366

Martin Westerholt-Raum, Charles H. Conley

Publication date: 25 October 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2897

zbMATH Keywords

invariant differential operatorsskew-holomorphic Jacobi forms\(\xi\)-operatorssemi-holomorphic Jacobi forms

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Jacobi forms (11F50) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items

\({\mathrm {H}}\)-harmonic Maaß-Jacobi forms of degree 1 ⋮ On \(p\)-adic modular forms and the Bloch-Okounkov theorem ⋮ The Bailey chain and mock theta functions ⋮ Ramanujan-type partial theta identities and conjugate Bailey pairs ⋮ Centers and characters of Jacobi group-invariant differential operator algebras ⋮ Jacobi forms of indefinite lattice index ⋮ Gromov-Witten theory of elliptic fibrations: Jacobi forms and holomorphic anomaly equations ⋮ Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition

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