Congruence families modulo powers of $7$ for $4$-colored generalized Frobenius partitions

Kangyu Wang, Yining Wang

In 2012, Peter Paule and Cristian-Silviu Radu proved an infinite family of Ramanujan type congruences for $2$-colored Frobenius partitions $c\ddot{I}{•}_2$ introduced by George Andrews. Rec…