On Some Special Families of q-hypergeometric Maass Forms
On Some Special Families of q-hypergeometric Maass Forms
Using special polynomials related to the Andrews–Gordon identities and the coloured Jones polynomial of torus knots, we construct classes of |$q$|-hypergeometric series lying in the Habiro ring. These give rise to new families of quantum modular forms, and their fourier coefficients encode distinguished Maass cusp forms. The cuspidality of these …