Wang, LQLQWangYI-FAN YANG2022-12-192022-12-192022-11-011793-0421https://scholars.lib.ntu.edu.tw/handle/123456789/626606We establish two families of congruences modulo powers of 5 for the Fourier coefficients of (2E2(2τ) - E2(τ))η(2τ)-1, where E2(τ) is the weight 2 Eisenstein series and η(τ) is the Dedekind eta function. This allows us to prove similar congruences for two smallest parts functions. The first function is sptω(n), which was introduced by Andrews, Dixit and Yee and is associated with Ramanujan/Watson's third-order mock theta function ω(q). The second one is sptC5(n), which appeared in the work of Garvan and Jennings-Shaffer. Moreover, we confirm two conjectural congruences of Wang.Partitions; mock theta function; smallest parts functions; congruences modulo powers of 5; Eisenstein series; CONGRUENCES; PARTITIONSjournal article10.1142/S17930421225011602-s2.0-85133513387WOS:000840393600009https://api.elsevier.com/content/abstract/scopus_id/85133513387