A framework for modular properties of false theta functions

DOI10.1007/s40687-019-0192-2zbMath1456.11074arXiv1904.05377OpenAlexW2969258403WikidataQ127337607 ScholiaQ127337607MaRDI QIDQ2320533

Kathrin Bringmann, Caner Nazaroglu

Publication date: 23 August 2019

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.05377

zbMATH Keywords

mock theta functionscircle methodmodular formscompletionsfalse theta functions

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Fourier coefficients of automorphic forms (11F30) Dedekind eta function, Dedekind sums (11F20) Jacobi forms (11F50) Analytic theory of partitions (11P82)

Related Items (11)

Quantum modularity of partial theta series with periodic coefficients ⋮ Moduli spaces and modular forms. Abstracts from the workshop held January 31 -- February 6, 2021 (hybrid meeting) ⋮ Statistics for unimodal sequences ⋮ Polar harmonic Maaß forms and holomorphic projection ⋮ Bivariate asymptotics for eta-theta quotients with simple poles ⋮ Taylor coefficients of false Jacobi forms and ranks of unimodal sequences ⋮ Higher depth false modular forms ⋮ Log concavity for unimodal sequences ⋮ Quantum modular \(\widehat{Z}^G\)-invariants ⋮ Modular transformations of homological blocks for Seifert fibered homology 3-spheres ⋮ The false theta functions of Rodgers and their modularity

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