On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramanujan's $\omega (q)$

Kathrin Bringmann, Chris Jennings-Shaffer, Karl Mahlburg

We analyze the mock modular behavior of ${\bar{P}}_{\omega }(q)$, a partition function introduced by Andrews, Dixit, Schultz, and Yee. This function arose in a study of smallest parts functi…