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The Ramanujan Journal

, Volume 48, Issue 2, pp 369–384 | Cite as

Congruences for partition functions related to mock theta functions

  • Shane Chern
  • Li-Jun HaoEmail author
Article
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Abstract

Partitions associated with mock theta functions have received a great deal of attention in the literature. Recently, Choi and Kim derived several partition identities from the third- and sixth-order mock theta functions. In addition, three Ramanujan-type congruences were established by them. In this paper, we present some new congruences for these partition functions.

Keywords

Partition t-Core partition Cubic partition Mock theta function Ramanujan-type congruence 

Mathematics Subject Classification

11P83 05A17 
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Notes

Acknowledgements

We would like to thank the referee and editor for helpful comments.

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Copyright information

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Authors and Affiliations

  1. 1.Department of MathematicsPennsylvania State UniversityUniversity ParkUSA
  2. 2.Center for Combinatorics, LPMCNankai UniversityTianjinPeople’s Republic of China

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