EXACT FORMULAS FOR COEFFICIENTS OF JACOBI FORMS

DOI10.1142/S1793042111004617zbMath1279.11050OpenAlexW2131447363MaRDI QIDQ3011065

Olav K. Richter, Kathrin Bringmann

Publication date: 27 June 2011

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

Full work available at URL: https://doi.org/10.1142/s1793042111004617

zbMATH Keywords

mock theta functionsJacobi formsharmonic Maass-Jacobi forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Jacobi forms (11F50)

Related Items (7)

Moonshine ⋮ Generators of Jacobi forms are Poincaré series ⋮ Pairings of harmonic Maass-Jacobi forms involving special values of partial \(L\)-functions ⋮ Optimal mock Jacobi theta functions ⋮ Asymptotic formulas for the coefficients of certain automorphic functions ⋮ Spectral decomposition of the cubic Casimir operator associated with Jacobi group ⋮ Maass-Jacobi Poincaré series and Mathieu moonshine

Cites Work

• Operator content of two-dimensional conformally invariant theories
• Explicit formulas for the Fourier coefficients of Jacobi and elliptic modular forms
• Heegner points and derivatives of \(L\)-series. II
• Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms

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