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

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.

19 pages

References in corpus (1)

• Difference equation of the colored Jones polynomial for torus knot

Cited by in corpus (3)

• A general formula for Hecke-type false theta functions
• New polar-finite forms of generalized Euler identities for $A_1^{(1)}$-string functions and mock theta conjecture-like identities
• Unimodal sequences and mixed false theta functions