Congruences and recursions for the cubic partitions

Shane Chern, Manosij Ghosh Dastidar

Published 2016-01-25Version 1

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.