Theta-type congruences for colored partitions

Olivia Beckwith, Alexander Caione, Jack Chen +3

We investigate congruence relations of the form $p_r(\ell mn+t)\equiv 0(\mathrm{mod}\ell )$ for all $n$, where $p_r(n)$ is the number of $r$-colored partitions of $n$ and $m,\ell$ are…