Abstract
We establish two families of congruences modulo powers of 5 for the Fourier coefficients of [Formula: see text], where [Formula: see text] is the weight 2 Eisenstein series and [Formula: see text] is the Dedekind eta function. This allows us to prove similar congruences for two smallest parts functions. The first function is [Formula: see text], which was introduced by Andrews, Dixit and Yee and is associated with Ramanujan/Watson’s third-order mock theta function [Formula: see text]. The second one is [Formula: see text], which appeared in the work of Garvan and Jennings-Shaffer. Moreover, we confirm two conjectural congruences of Wang.
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