Arithmetic properties of coefficients of half-integral weight Maass–Poincaré series

2006/09/07 by Kathrin Bringmann, Ken Ono · 86 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebra over a field #Analytic Number Theory Research #Eisenstein series #Hecke operator #Holomorphic function #Kloosterman sum #Mathematical analysis #Mathematics #Modular form #Moduli #Moduli space #Poincaré series #Pure mathematics #Series (stratigraphy)

paper · doi:10.1007/s00208-006-0048-0

published in Mathematische Annalen 337(3), 591-612 (Springer Nature)

openalex publication_date 2006/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Citations

• Heegner points, cycles and Maass forms
• Fourier coefficients of modular forms of half-integral weight

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• On p-adic haromonic Maass functions
• Arithmetic Properties of Traces of Singular Moduli on Congruence Subgroups
• Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms
• Structures for pairs of mock modular forms with the Zagier duality
• Weak Maass-Poincare series and weight 3/2 mock modular forms
• Lifting cusp forms to Maass forms with an application to partitions
• Twisted traces of CM values of weak Maass forms
• A modular framework for generalized Hurwitz class numbers III
• Threshold corrections, generalised prepotentials and Eichler integrals