Korean J. Math. Vol. 25 No. 1 (2017) pp.87-97
DOI: https://doi.org/10.11568/kjm.2017.25.1.87

Quantum modularity of mock theta functions of order 2

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Published: Mar 21, 2017
Keywords:
basic hypergeometric series, second order mock theta functions, quantum modular forms
Mathematics Subject Classification:
11F37, 33D15

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Soon-Yi Kang
Department of Mathematics Kangwon National University Chuncheon 24341, Republic of Korea

Abstract

In [9], we computed shadows of the second order mock theta functions and showed that they are essentially same with the shadow of a mock theta function related to the Mathieu moonshine phenomenon. In this paper, we further survey the second order mock theta functions on their quantum modularity and their behavior in the lower half plane.


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References

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