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

Published 6 Jul 2022 in math.NT | (2207.02591v1)

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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