A Hardy-Ramanujan-Rademacher-type formula for $(r,s)$-regular partitions

James Mc Laughlin, Scott Parsell

Let $p_{r,s}(n)$ denote the number of partitions of a positive integer $n$ into parts containing no multiples of $r$ or $s$, where $r>1$ and $s>1$ are square-free, relatively prime…