On harmonic weak Maass forms of half integral weight

DOI10.1090/S0002-9939-2013-11549-2zbMath1271.11052arXiv1002.1528MaRDI QIDQ2839348

Bumkyu Cho, Young Ju Choie

Publication date: 5 July 2013

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

Full work available at URL: https://arxiv.org/abs/1002.1528

zbMATH Keywords

harmonic weak Maass formsharmonic Maass-Jacobi forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Jacobi forms (11F50)

Related Items (5)

Zagier duality for real weights ⋮ Hecke equivariance of generalized Borcherds products of type \(O(2,1)\) ⋮ Differential operators on Jacobi forms of half integral weight ⋮ Linear relations among half-integral weight Poincaré series ⋮ On the algebraicity of coefficients of half-integral weight mock modular forms

Cites Work

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• The theory of Jacobi forms
• Lectures on modular functions of one complex variable. Notes by Sunder Lal. Rev. ed
• Jacobi Maaß forms
• On Borcherds products associated with lattices of prime discriminant
• Reflection groups of Lorentzian lattices
• 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
• Zagier duality for harmonic weak Maass forms of integral weight
• TRACES OF SINGULAR VALUES AND BORCHERDS PRODUCTS

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