New congruences for partitions related to mock theta functions

We study the arithmetic properties of two partition functions pω(n), pν(n) and a smallest parts function spt‾ω(n). The first two functions were introduced recently by Andrews, Dixit and Yee, and the smallest parts function by Andrews, Dixit, Schultz and Yee. These functions are closely related to the Ramanujan/Watson mock theta functions ω(q) and ν(q). We find many new congruences satisfied by these functions modulo 11 and powers of 2 or 3.