In 1984, Andrews introduced the family of partition functions Formula: see text, which counts the number of generalized Frobenius partitions of Formula: see text with Formula: see text colors. In previous work, we proved a conjecture on congruences for Formula: see text modulo powers of 3. In this paper, we consider the (6, 0)-colored Frobenius partition functions Formula: see text. We establish a connection between the generating functions of Formula: see text and Formula: see text via an Atkin-Lehner involution, and prove congruences modulo powers of 3 for Formula: see text.
Chen et al. (Fri,) studied this question.