paper

Hypergeometric Generating Function of L-function, Slater's Identities, and Quantum Invariant

arXiv:math-ph/0406042

Abstract

We study certain connections between the quantum invariants of the torus knots T_{3,2^k} and some q-series identities. In particular, we obtain new generalizations of Slater's identities (83) and (86).

18 pages