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

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

2004-06-22

arxiv.org/abs/math-ph/0406042v1

St.Petersburg Math.J. 17 (2006) 143-156; Alg.Anal. 17N1 (2005) 190-208

Physics

Mathematical Physics

18 pages

Scientific paper

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).

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