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

Eric T. Mortenson; Sander Zwegers

doi:10.1016/j.aim.2023.108944

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arXiv · 2207.02591

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

Eric T. Mortenson·Sander Zwegers

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Abstract

We express a family of Hecke--Appell-type sums of Hikami and Lovejoy in terms of mixed mock modular forms; in particular, we express the sums in terms of Appell functions and theta functions. Hikami and Lovejoy's family of Hecke--Appell-type sums was obtained by considering certain duals of generalized quantum modular forms.

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Eric T. Mortenson, Sander Zwegers. 2022-07-06. The mixed mock modularity of certain duals of generalized quantum modular forms of Hikami and Lovejoy. https://doi.org/10.1016/j.aim.2023.108944

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