Congruences modulo powers of 5 for k -colored partitions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Number Theory"
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
On a problem on restricted k-colored partitions
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Number Theory"
DOI: 10.1142/s1793042122500269
Abstract: Let [Formula: see text] be the number of [Formula: see text]-colored partitions of [Formula: see text]. Recently, Keith proved that for [Formula: see text], if [Formula: see text] for all [Formula: see text], then [Formula:… read more here.
Keywords: problem restricted; colored partitions; formula see; see text ... See more keywords