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Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions (1908.07741v1)
Published 21 Aug 2019 in math.NT
Abstract: Recently, Andrews, Dixit and Yee introduced partition functions associated with Ramanujan/Watson third order mock theta functions $\omega(q)$ and $\nu(q)$. In this paper, we find several new exact generating functions for those partition functions as well as the associated smallest parts functions and deduce several new congruences modulo powers of 5.