On a completed generating function of locally harmonic Maass forms

DOI10.1112/S0010437X13007719zbMath1296.11031arXiv1206.1102OpenAlexW2042925616MaRDI QIDQ2877501

Ben Kane, Sander Zwegers, Kathrin Bringmann

Publication date: 22 August 2014

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1102

zbMATH Keywords

modular formsmock modular formsholomorphic projectionlocally harmonic Maass formsindefinite theta functions

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25) General binary quadratic forms (11E16)

Related Items (6)

Polar harmonic Maaß forms and holomorphic projection ⋮ The Shimura–Shintani correspondence via singular theta lifts and currents ⋮ Harmonic lifts of modular forms ⋮ Holomorphic Automorphic Forms and Cohomology ⋮ On the rationality of cycle integrals of meromorphic modular forms ⋮ Mock modular Eisenstein series with Nebentypus

Cites Work

• Heegner divisors, \(L\)-functions and harmonic weak Maass forms
• Faltings heights of CM cycles and derivatives of \(L\)-functions
• Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series
• On the explicit construction of higher deformations of partition statistics
• Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
• Dyson's ranks and Maass forms
• Values of L-series of modular forms at the center of the critical strip
• Modular forms associated to real quadratic fields
• The \(f(q)\) mock theta function conjecture and partition ranks
• On the algebraic curves uniformized by arithmetical automorphic functions
• Projections of 𝐶^{∞} automorphic forms
• On construction of holomorphic cusp forms of half integral weight
• Notes on the K3 Surface and the Mathieu GroupM₂₄

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