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Algebra i Analiz, 2005, Volume 17, Issue 1, Pages 190–208 (Mi aa651)  
This article is cited in 7 scientific papers (total in 7 papers)

Research Papers

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

K. Hikamia, A. N. Kirillovb

a Department of Physics, Graduate School of Science, University of Tokyo, Japan
b Research Institute of Mathematical Sciences, Kyoto University, Japan
Full-text PDF (653 kB) Citations (7)
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Abstract: Relationships between the quantum invariants of the torus knots $\tau_{3,2^k}$ andsome $q$-series identities are studied. In particular, new generalizations of the Slater identities (83) and (86) are obtained.
Received: 07.09.2004
English version:
St. Petersburg Mathematical Journal, 2006, Volume 17, Issue 1, Pages 143–156
DOI: https://doi.org/10.1090/S1061-0022-06-00897-1
Bibliographic databases:
Document Type: Article
Language: English
Citation: K. Hikami, A. N. Kirillov, “Hypergeometric generating function of $L$-function, Slater's identities, and quantum invariant”, Algebra i Analiz, 17:1 (2005), 190–208; St. Petersburg Math. J., 17:1 (2006), 143–156
Citation in format AMSBIB
\Bibitem{HikKir05}
\by K.~Hikami, A.~N.~Kirillov
\paper Hypergeometric generating function of $L$-function, Slater's identities, and quantum invariant
\jour Algebra i Analiz
\yr 2005
\vol 17
\issue 1
\pages 190--208
\mathnet{http://mi.mathnet.ru/aa651}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2140679}
\zmath{https://zbmath.org/?q=an:1136.11308}
\transl
\jour St. Petersburg Math. J.
\yr 2006
\vol 17
\issue 1
\pages 143--156
\crossref{https://doi.org/10.1090/S1061-0022-06-00897-1}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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