Weak Maass-Poincaré series and weight 3/2 mock modular forms

DOI10.1016/j.jnt.2013.01.011zbMath1287.11052arXiv1208.0968OpenAlexW2963513395MaRDI QIDQ2444995

Daeyeol Jeon, Chang Heon Kim, Soon-Yi Kang

Publication date: 11 April 2014

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

Full work available at URL: https://arxiv.org/abs/1208.0968

zbMATH Keywords

mock modular formharmonic weak Maass formweak Maass-Poincaré seriesBorcherds-Zagier base

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Modular and automorphic functions (11F03) Fourier coefficients of automorphic forms (11F30) Automorphic forms, one variable (11F12)

Related Items

Bases of spaces of harmonic weak Maass forms and Shintani lifts of harmonic weak Maass forms ⋮ Cycle integrals of a sesqui-harmonic Maass form of weight zero ⋮ Shintani lifts of nearly holomorphic modular forms ⋮ Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function ⋮ Petersson norms of Eisenstein series and Kohnen-Zagier's formula ⋮ Holomorphic Automorphic Forms and Cohomology ⋮ Zagier-lift type arithmetic in harmonic weak Maass forms ⋮ Regularized inner products of modular functions ⋮ Corrigendum to: ``Weak Maass-Poincaré series and weight 3/2 mock modular forms ⋮ Polyharmonic weak Maass forms of higher depth for \(\mathrm{SL}_2(\mathbb{Z})\) ⋮ Traces of CM values and cycle integrals of polyharmonic Maass forms ⋮ Mock period functions in higher level cases

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