The number of cubic partitions modulo powers of 5

Details The number of cubic partitions modulo powers of 5 The number of cubic partitions modulo powers of 5

2010-04-27

arxiv.org/abs/1004.4737v2

Mathematics

Number Theory

17 pages,Submitted

Scientific paper

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 $3$. In a recent paper, William Y.C. Chen and Bernard L.S. Lin studied the congruent property of the cubic partition function modulo $5$. In this note, we give Ramanujan type congruences for cubic partition function modulo powers of $5$.

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