Congruences modulo powers of 5 for k -colored partitions
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DOI: 10.1016/j.jnt.2017.10.027
Abstract: Let $p_{-k}(n)$ enumerate the number of $k$-colored partitions of $n$. In this paper, we establish some infinite families of congruences modulo 25 for $k$-colored partitions. Furthermore, we prove some infinite families of Ramanujan-type congruences modulo… read more here.
Keywords: align; modulo powers; powers colored; colored partitions ... See more keywords