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
Arithmetic properties for two restricted partitions modulo powers of 5
Sign Up to like & getrecommendations! Published in 2019 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2018.1544945
Abstract: Abstract Let pk,3(n) count the number of 2-color partition triples of n where one of the colors appears only in parts that are multiples of k and Bk,ℓ(n) denote the number of (k, ℓ)-regular bipartitions… read more here.
Keywords: infinite families; arithmetic properties; families congruences; modulo powers ... See more keywords