\({\mathrm {H}}\)-harmonic Maaß-Jacobi forms of degree 1

DOI10.1186/s40687-015-0032-yzbMath1380.11052OpenAlexW1157507549WikidataQ59401982 ScholiaQ59401982MaRDI QIDQ289947

Martin Westerholt-Raum

Publication date: 31 May 2016

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s40687-015-0032-y

zbMATH Keywords

generalized \(\widehat{\mu}\)-functionsmixed mock modular formsreal-analytic Jacobi forms

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Jacobi forms (11F50)

Related Items

Higher depth mock theta functions and \(q\)-hypergeometric series, Indefinite theta series and generalized error functions, On the Fourier coefficients of negative index meromorphic Jacobi forms, Almost holomorphic Poincaré series corresponding to products of harmonic Siegel-Maass forms, Identities for generalized Appell functions and the blow-up formula, Mock modular forms and geometric theta functions for indefinite quadratic forms, A generalization of Zwegers' \(\mu\)-function according to the \(q\)-Hermite-Weber difference equation, Higher depth false modular forms, A classification of harmonic Maass forms, PARTIAL INDEFINITE THETA IDENTITIES, Jacobi forms of indefinite lattice index

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Torus knots and quantum modular forms
• On the Fourier coefficients of negative index meromorphic Jacobi forms
• Negative index Jacobi forms and quantum modular forms
• Kohnen's limit process for real-analytic Siegel modular forms
• Modularity of open Gromov-Witten potentials of elliptic orbifolds
• Cycle integrals of the \(j\)-function and mock modular forms
• The theory of Jacobi forms
• Jacobi Maaß forms
• Jacobi forms and the structure of Donaldson invariants for 4-manifolds with \(b_+=1\)
• Periods of modular forms and Jacobi theta functions
• Non-holomorphic Poincaré-type series on Jacobi groups
• Modular forms and differential operators
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• On two geometric theta lifts
• Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms
• Differential operators on homogeneous spaces
• Lectures on modular functions of one complex variable
• Harmonic Maaß–Jacobi forms of degree 1 with higher rank indices
• Kac-Wakimoto characters and non-holomorphic Jacobi forms
• Taylor coefficients of mock-Jacobi forms and moments of partition statistics
• Jacobi forms of critical weight and Weil representations
• Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition
• Elements of the representation theory of the Jacobi group
• Integrable highest weight modules over affine superalgebras and Appell's function