Locally Harmonic Maass Forms and the Kernel of the Shintani Lift

DOI10.1093/imrn/rnu024zbMath1381.11040arXiv1206.1100OpenAlexW2036098806MaRDI QIDQ5255949

Kathrin Bringmann, Winfried Kohnen, Ben Kane

Publication date: 22 June 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1100

zbMATH Keywords

Shintani liftperiod polynomialsharmonic weak Maass forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (14)

Polar harmonic Maass forms and their applications ⋮ Theta lifts for Lorentzian lattices and coefficients of mock theta functions ⋮ Local Maass forms and Eichler-Selberg relations for negative-weight vector-valued mock modular forms ⋮ The Shimura–Shintani correspondence via singular theta lifts and currents ⋮ CUSP FORMS WITH RATIONAL EVEN PERIODS ⋮ A Gross-Kohnen-Zagier type theorem for higher-codimensional Heegner cycles ⋮ A hyperbolic analogue of the Rademacher symbol ⋮ Cycle integrals of meromorphic modular forms and coefficients of harmonic Maass forms ⋮ On the rationality of cycle integrals of meromorphic modular forms ⋮ Hyperbolic Fourier coefficients of Poincaré series ⋮ Regularized inner products of meromorphic modular forms and higher Green’s functions ⋮ The skew-Maass lift. I: The case of harmonic Maass-Jacobi forms ⋮ Eisenstein series of even weight 𝑘≥2 and integral binary quadratic forms ⋮ Locally harmonic Maass forms and periods of meromorphic modular forms

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