James A. Sellers

A uniform proof approach for congruences modulo 3 for partitions with $k$-colored odd parts

In recent work, Hirschhorn and the second author defined $a_k(n)$ to be the number of partitions of $n$ wherein the even parts come in only one color, while the odd parts may be ``colored''with one of $k$ colors for fixed $k\geq 1$. This function generalizes the classical partition function and has been of significant...