Mock period functions, sesquiharmonic Maass forms, and non-critical values of \(L\)-functions

DOI10.1016/j.aim.2012.09.025zbMath1276.11076arXiv1107.0573OpenAlexW2098236882MaRDI QIDQ1931837

Kathrin Bringmann, Nikolaos Diamantis, Martin Westerholt-Raum

Publication date: 16 January 2013

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0573

zbMATH Keywords

mock modular formsperiod polynomialsmock period polynomialsnoncritical \(L\)-valuessesquiharmonic Maass forms

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (10)

Cycle integrals of a sesqui-harmonic Maass form of weight zero ⋮ Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function ⋮ A classification of harmonic Maass forms ⋮ Integral representations of rank two false theta functions and their modularity properties ⋮ Holomorphic Automorphic Forms and Cohomology ⋮ Polyharmonic Maass forms for \(\mathrm{PSL}(2,\mathbb Z)\) ⋮ Polyharmonic weak Maass forms of higher depth for \(\mathrm{SL}_2(\mathbb{Z})\) ⋮ Shimura's vector-valued modular forms, weight changing operators, and Laplacians ⋮ Traces of CM values and cycle integrals of polyharmonic Maass forms ⋮ Mock period functions in higher level cases

Uses Software

• DLMF

This page was built for publication: Mock period functions, sesquiharmonic Maass forms, and non-critical values of \(L\)-functions