Kac-Wakimoto characters and non-holomorphic Jacobi forms

DOI10.1090/tran/6709zbMath1383.11061OpenAlexW2317205135MaRDI QIDQ2833014

Kathrin Bringmann, René Olivetto

Publication date: 16 November 2016

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

Full work available at URL: https://semanticscholar.org/paper/5514e2746d8774d45f1259e031cf312aa9c7da33

zbMATH Keywords

non-holomorphic Jacobi formsH-harmonic Maass-Jacobi forms

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Forms of half-integer weight; nonholomorphic modular forms (11F37) Modular and automorphic functions (11F03) Jacobi forms (11F50)

Related Items (2)

\({\mathrm {H}}\)-harmonic Maaß-Jacobi forms of degree 1 ⋮ Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition

Cites Work

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• Almost harmonic Maass forms and Kac-Wakimoto characters
• The theory of Jacobi forms
• Some characters of Kac and Wakimoto and nonholomorphic modular functions
• Jacobi forms of higher degree
• Jacobi Maaß forms
• Infinite-dimensional Lie algebras and Dedekind's \(\eta\)-function
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• On two geometric theta lifts
• Monstrous moonshine and monstrous Lie superalgebras
• Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms
• Quasimodular forms and \(s\ell (m|m)^\wedge\) characters
• Rank-crank type PDE's and non-holomorphic Jacobi forms
• Lectures on modular functions of one complex variable
• Rank-Crank type PDE's for higher level Appell functions
• Kac-Wakimoto characters and universal mock theta functions
• Elliptic genera, real algebraic varieties and quasi-Jacobi forms
• On the Fourier coefficients of meromorphic Jacobi forms
• A natural representation of the Fischer-Griess Monster with the modular function J as character
• Monstrous Moonshine
• On the asymptotic behavior of Kac-Wakimoto characters
• 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

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