Congruences like Atkin's for generalized Frobenius partitions

Scott Ahlgren, Nickolas Andersen, Robert Dicks

In the 1960s Atkin discovered congruences modulo primes $\ell \le 31$ for the partition function $p(n)$ in arithmetic progressions modulo $\ell Q^3$, where $Q\ne \ell$ is prime. R…