Vector-valued higher depth quantum modular forms and higher Mordell integrals

DOI10.1016/j.jmaa.2019.123397zbMath1470.11096arXiv1803.06261OpenAlexW2964477805WikidataQ127401256 ScholiaQ127401256MaRDI QIDQ2325941

Antun Milas, Kathrin Bringmann, Jonas Kaszián

Publication date: 4 October 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.06261

zbMATH Keywords

asymptoticsEuler-Maclaurin summation formulafalse theta functionsMordell integrals

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27)

Related Items (10)

Higher depth mock theta functions and \(q\)-hypergeometric series ⋮ On the Feigin-Tipunin conjecture ⋮ Limit laws for rational continued fractions and value distribution of quantum modular forms ⋮ Quantum modular \(\widehat{Z}^G\)-invariants ⋮ Higher depth quantum modular forms and plumbed 3-manifolds ⋮ Integral representations of rank two false theta functions and their modularity properties ⋮ A family of vector-valued quantum modular forms of depth two ⋮ Black holes and higher depth mock modular forms ⋮ Higher depth quantum modular forms, multiple Eichler integrals, and \(\mathfrak{sl}_3\) false theta functions ⋮ A short note on higher Mordell integrals

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