2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99130We 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 pagesMathematical PhysicsHypergeometric Generating Function of L-function, Slater's Identities, and Quantum Invarianttext