Harmonic lifts of modular forms

DOI10.1007/s11139-013-9469-zzbMath1311.11033arXiv1206.5118OpenAlexW2017636424MaRDI QIDQ2441308

Roelof Wichert Bruggeman

Publication date: 24 March 2014

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5118

zbMATH Keywords

modular formPoincaré seriesharmonic lift

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (6)

Weak Maass-Poincaré series and weight 3/2 mock modular forms ⋮ Holomorphic Automorphic Forms and Cohomology ⋮ Modular cocycles and cup product ⋮ Regularized inner products of modular functions ⋮ Polyharmonic Maass forms for \(\mathrm{PSL}(2,\mathbb Z)\) ⋮ Period functions of half-integral weight modular forms

Cites Work

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• Corrigendum to: ``Weak Maass-Poincaré series and weight 3/2 mock modular forms
• Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues
• Pseudo-laplaciens. II
• On two geometric theta lifts
• Higher-order Maass forms
• On a completed generating function of locally harmonic Maass forms
• Lifting cusp forms to Maass forms with an application to partitions

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