RAMANUJAN'S CUBIC CONTINUED FRACTION AND RAMANUJAN TYPE CONGRUENCES FOR A CERTAIN PARTITION FUNCTION

In this paper, we study the divisibility of the function a(n) defined by $\sum_{n\geq 0} a(n) q^n := (q;q)^{-1}_\infty (q^2; q^2)^{-1}_\infty $. In particular, we prove certain "Ramanujan type cong...