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The number of cubic partitions modulo powers of 5

Number Theory 2016-05-31 v2

Abstract

The notion of cubic partitions is introduced by Hei-Chi Chan and named by Byungchan Kim in connection with Ramanujan's cubic continued fractions. Chan proved that cubic partition function has Ramanujan Type congruences modulo powers of 33. In a recent paper, William Y.C. Chen and Bernard L.S. Lin studied the congruent property of the cubic partition function modulo 55. In this note, we give Ramanujan type congruences for cubic partition function modulo powers of 55.

Keywords

Cite

@article{arxiv.1004.4737,
  title  = {The number of cubic partitions modulo powers of 5},
  author = {Xinhua Xiong},
  journal= {arXiv preprint arXiv:1004.4737},
  year   = {2016}
}

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17 pages,Submitted