Recently, Andrews, Dixit, and Yee defined two partition functions p ω (n) and p ν (n) that are related with Ramanujan’s mock theta functions ω(q) and ν(q) , respectively. In this paper, we present two variable generalizations of their results. As an application, we reprove their results on p ω (n) and p ν (n) that are analogous to Euler’s pentagonal number theorem.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory