The mixed mock modularity of certain duals of generalized quantum modular forms of Hikami and Lovejoy

DOI10.1016/j.aim.2023.108944OpenAlexW4323051736MaRDI QIDQ2692562

Sander Zwegers, Eric T. Mortenson

Publication date: 22 March 2023

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

Full work available at URL: https://arxiv.org/abs/2207.02591

zbMATH Keywords

theta functionsAppell functionsmock modular formsquantum modular formsindefinite theta seriesHecke-type double-sums

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11)

Related Items (1)

Expressing q-series in terms of building blocks of Hecke-type double-sums

Cites Work

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• Torus knots and quantum modular forms
• On the dual nature of partial theta functions and Appell-Lerch sums
• A proof of the mock theta conjectures
• On the seventh order mock theta functions
• Bailey chains and generalized Lambert series. I: Four identities of Ramanujan
• Ramanujan-type partial theta identities and conjugate Bailey pairs
• Multivariable Appell functions and nonholomorphic Jacobi forms
• Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
• On Some Special Families of q-hypergeometric Maass Forms
• DIFFERENCE EQUATION OF THE COLORED JONES POLYNOMIAL FOR TORUS KNOT
• Mixed mock modular q-series
• Vassiliev invariants and a strange identity related to the Dedekind eta-function

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