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Regular and Chaotic Dynamics, 2005, Volume 10, Issue 4, Pages 509–530
DOI: https://doi.org/10.1070/RD2005v010n04ABEH000328 (Mi rcd723) 		 
This article is cited in 34 scientific papers (total in 34 papers)

Bicentennial of C.G. Jacobi

Mock (false) theta functions as quantum invariants

K. Hikami

Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo, Tokyo 113-0033, Japan
Citations (34)
DOI: https://doi.org/10.1070/RD2005v010n04ABEH000328
Abstract: We establish a correspondence between the $\mathrm{SU(2)}$ Witten–Reshetikhin–Turaev invariant for the Seifert manifold $M(p_1,p_2,p_3)$ and Ramanujan's mock theta functions.
Keywords: quantum invariant, modular form, mock theta function, Seifert manifold, q-hypergeometric function.
Received: 20.06.2005
Accepted: 19.09.2005
Bibliographic databases:
Document Type: Article
MSC: 33D15, 57M27, 11F37
Language: English
Citation: K. Hikami, “Mock (false) theta functions as quantum invariants”, Regul. Chaotic Dyn., 10:4 (2005), 509–530
Citation in format AMSBIB
\Bibitem{Hik05}
\by K.~Hikami
\paper Mock (false) theta functions as quantum invariants
\jour Regul. Chaotic Dyn.
\yr 2005
\vol 10
\issue 4
\pages 509--530
\mathnet{http://mi.mathnet.ru/rcd723}
\crossref{https://doi.org/10.1070/RD2005v010n04ABEH000328}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2191375}
\zmath{https://zbmath.org/?q=an:1133.57301}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2005RCD....10..509H}
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    • This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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