Bases of spaces of harmonic weak Maass forms and Shintani lifts of harmonic weak Maass forms

DOI10.1007/S11139-019-00197-2zbMath1469.11100OpenAlexW3082296023MaRDI QIDQ829870

Daeyeol Jeon, Chang Heon Kim, Soon-Yi Kang

Publication date: 6 May 2021

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

Full work available at URL: https://doi.org/10.1007/s11139-019-00197-2

zbMATH Keywords

weakly holomorphic modular formsharmonic weak Maass formsShintani liftsregularized inner products

Mathematics Subject Classification ID

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

Related Items (2)

Polyharmonic weak Maass forms of higher depth for \(\mathrm{SL}_2(\mathbb{Z})\) ⋮ Traces of CM values and cycle integrals of polyharmonic Maass forms

Cites Work

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• Cycle integrals of a sesqui-harmonic Maass form of weight zero
• Cycle integrals of the \(j\)-function and mock modular forms
• Zagier-lift type arithmetic in harmonic weak Maass forms
• Modular forms of half-integral weight on \(\Gamma_0(4)\)
• Identities of cycle integrals of weak Maass forms
• Fourier coefficients and modular forms of half-integral weight
• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• Modular functions and the uniform distribution of CM points
• Hilbert class polynomials and traces of singular moduli
• Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series
• On the zeros and coefficients of certain weakly holomorphic modular forms
• Integral traces of singular values of weak Maass forms
• Heegner points and derivatives of \(L\)-series. II
• Automorphic forms with singularities on Grassmannians
• On two geometric theta lifts
• Linear relations among Poincaré series via harmonic weak Maass forms
• Eichler-Shimura theory for mock modular forms
• Weak Maass-Poincaré series and weight 3/2 mock modular forms
• Shintani lifts and fractional derivatives for harmonic weak Maass forms
• Exact formulas for traces of singular moduli of higher level modular functions
• Kloosterman sums and traces of singular moduli
• The \(f(q)\) mock theta function conjecture and partition ranks
• Regularized inner products of modular functions
• Fourier coefficients of the resolvent for a Fuchsian group.
• A class of nonanalytic automorphic functions
• Duality and Differential Operators for Harmonic Maass Forms
• ARITHMETIC TRACES OF NON-HOLOMORPHIC MODULAR INVARIANTS
• Traces of Singular Moduli of Arbitrary Level Modular Functions
• Traces of CM values of modular functions

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