The Ramanujan Journal

, Volume 35, Issue 1, pp 165–178 | Cite as

Congruences for broken 3-diamond and 7 dots bracelet partitions

  • Su-Ping Cui
  • Nancy S. S. Gu


Andrews and Paule introduced broken k-diamond partitions by using MacMahon’s partition analysis. Later, Fu found a generalization which he called k dots bracelet partitions. In this paper, with the aid of Farkas and Kra’s partition theorem and a p-dissection identity of f(−q), we derive many congruences for broken 3-diamond partitions and 7 dots bracelet partitions.


Partition Congruence Broken k-diamond partition k dots bracelet partition 

Mathematics Subject Classification (2010)

11P83 05A17 



The authors would like to thank the referee for valuable comments. This work was supported by the National Natural Science Foundation of China and the PCSIRT Project of the Ministry of Education.


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Center for Combinatorics, LPMC-TJKLCNankai UniversityTianjinP.R. China

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