Abstract
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.
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Acknowledgements
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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Cui, SP., Gu, N.S.S. Congruences for broken 3-diamond and 7 dots bracelet partitions. Ramanujan J 35, 165–178 (2014). https://doi.org/10.1007/s11139-013-9514-y
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DOI: https://doi.org/10.1007/s11139-013-9514-y