Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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QUANTUM MODULARITY OF MOCK THETA FUNCTIONS OF ORDER 2

  • Kang, Soon-Yi (Department of Mathematics Kangwon National University)
  • Received : 2017.02.24
  • Accepted : 2017.03.20
  • Published : 2017.03.30
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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.

Keywords

Acknowledgement

Supported by : Kangwon National University

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