Hypergeometric generating function of 𝐿-function, Slater’s identities, and quantum invariant

Hikami, K.; Kirillov, A.

doi:10.1090/S1061-0022-06-00897-1

Hypergeometric generating function of $L$-function, Slater’s identities, and quantum invariant
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by K. Hikami and A. N. Kirillov

St. Petersburg Math. J. 17 (2006), 143-156

DOI: https://doi.org/10.1090/S1061-0022-06-00897-1

Published electronically: January 19, 2006

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Abstract:

Relationships between the quantum invariants of the torus knots $\mathcal {T}_{3,2^k}$ and some $q$-series identities are studied. In particular, new generalizations of the Slater identities (83) and (86) are obtained.

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