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

Kazuhiro Hikami, Anatol N. Kirillov

math-pharXiv:math-ph/0406042

Abstract

We study certain connections between the quantum invariants of the torus knots T3,2k and some q-series identities. In particular, we obtain new generalizations of Slater's identities (83) and (86).

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