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

K. Hikami, A. N. Kirillov

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)143-156
Number of pages14
JournalSt. Petersburg Mathematical Journal
Volume17
Issue number1
DOIs
Publication statusPublished - Jan 1 2006

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Quantum Invariants
Hypergeometric Functions
Generating Function
Torus knot
Q-series
Generalization
Relationships

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

Cite this

Hypergeometric generating function of l-function, slater’s identities, and quantum invariant. / Hikami, K.; Kirillov, A. N.

In: St. Petersburg Mathematical Journal, Vol. 17, No. 1, 01.01.2006, p. 143-156.

Research output: Contribution to journalArticle

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