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arxiv: math-ph/0406042 · v1 · submitted 2004-06-22 · 🧮 math-ph · math.MP

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

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keywords identitiesquantumslatercertainconnectionsfunctiongeneralizationsgenerating
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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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