2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96160We consider an asymptotic expansion of Kashaev's invariant or the colored Jones function for the torus link T(2,2m). We shall give q-series identity related to these invariants, and show that the invariant is regarded as a limit of q being N-th root of unity of the Eichler integral of the modular form of weight 3/2.24 pagesMathematical PhysicsGeometric Topologytext