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This article is cited in 33 scientific papers (total in 33 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
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
Citation:
K. Hikami, “Mock (false) theta functions as quantum invariants”, Regul. Chaotic Dyn., 10:4 (2005), 509–530
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https://www.mathnet.ru/eng/rcd723 https://www.mathnet.ru/eng/rcd/v10/i4/p509
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