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Congruences for two restricted overpartitions

  • Shane Chern
  • Li-Jun HaoEmail author
Article
  • 22 Downloads

Abstract

Congruences for partitions have received a great deal of attention in literature. Recently, Bringmann et al. (Electron J. Combin. 22(3) (2015) Paper 3.17, 16 pp.) studied overpartitions with restricted odd differences. In this paper, we present a number of Ramanujan-type congruences for these restricted overpartition functions.

Keywords

Partition overpartition Ramanujan-type congruence 

2010 Mathematics Subject Classification

11P83 05A17 

Notes

Acknowledgements

The authors would sincerely like to thank the referee for his detailed comments, which have significantly improved the presentation of this paper. The second author was supported by the National Natural Science Foundation of China and the Fundamental Research Funds for the Central Universities.

References

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Copyright information

© Indian Academy of Sciences 2019

Authors and Affiliations

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

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