Hypergeometric generating function of l-function, slater’s identities, and quantum invariant

K. Hikami; A. N. Kirillov

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

Hypergeometric generating function of l-function, slater’s identities, and quantum invariant

K. Hikami, A. N. Kirillov

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	143-156
Number of pages	14
Journal	St. Petersburg Mathematical Journal
Volume	17
Issue number	1
DOIs	https://doi.org/10.1090/S1061-0022-06-00897-1
Publication status	Published - 2006
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1090/S1061-0022-06-00897-1

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abstract = "Relationships between the quantum invariants of the torus knots T3, 2k and some q-series identities are studied. In particular, new generalizations of the Slater identities (83) and (86) are obtained.",

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Hypergeometric generating function of l-function, slater’s identities, and quantum invariant

Abstract

All Science Journal Classification (ASJC) codes

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