Kazuhiro Hikami

Address: Hongo 7-3-1, Bunkyo, 113-0033, Tokyo, Japan

University: Graduate School of Science, University of Tokyo

Publications:

Hikami K.

Mock (false) theta functions as quantum invariants
2005, vol. 10, no. 4, pp. 509-530

Abstract

We establish a correspondence between the 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

Citation: Hikami K., Mock (false) theta functions as quantum invariants , Regular and Chaotic Dynamics, 2005, vol. 10, no. 4, pp. 509-530

DOI:10.1070/RD2005v010n04ABEH000328

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