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Congruences and recursions for the cubic partition

Published 25 Jan 2016 in math.NT and math.CO | (1601.06480v2)

Abstract: Let $p_2(n)$ denote the number of cubic partitions. In this paper, we shall present two new congruences modulo $11$ for $p_2(n)$. We also provide an elementary alternative proof of a congruence established by Chan. Furthermore, we will establish a recursion for $p_2(n)$, which is a special case of a broader class of recursions.

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