Regularized Inner Products and Errors of Modularity

DOI10.1093/imrn/rnw225zbMath1405.11052arXiv1603.03056OpenAlexW2963642271MaRDI QIDQ4612095

Stephan Ehlen, Kathrin Bringmann, Nikolaos Diamantis

Publication date: 22 January 2019

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

Full work available at URL: https://arxiv.org/abs/1603.03056

zbMATH Keywords

weakly holomorphic modular formPetersson inner productsparabolic cohomology group

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Cohomology of arithmetic groups (11F75)

Related Items (13)

Meromorphic quasi-modular forms and their \(L\)-functions ⋮ A classification of harmonic Maass forms ⋮ Period functions associated to real-analytic modular forms ⋮ On coefficients of Poincaré series and single-valued periods of modular forms ⋮ Petersson norms of Eisenstein series and Kohnen-Zagier's formula ⋮ String theory integrands and supergravity divergences ⋮ Renormalization and BRST symmetry in Donaldson-Witten theory ⋮ A polyharmonic Maass form of depth 3/2 for \(\mathrm{SL}_2(\mathbb{Z})\) ⋮ Limits of traces of singular moduli ⋮ Mocking the \(u\)-plane integral ⋮ AN EXTENSION OF ROHRLICH’S THEOREM TO THE -FUNCTION ⋮ Regularized inner products of meromorphic modular forms and higher Green’s functions ⋮ Shintani theta lifts of harmonic Maass forms

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