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arXiv · 1004.4737

The number of cubic partitions modulo powers of 5

Xinhua Xiong
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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 $3$. 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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Xinhua Xiong. 2010-04-27. The number of cubic partitions modulo powers of 5. https://doi.org/10.1360/012010-517

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