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arXiv · 1709.03213

Some Identities associated with mock theta functions $\omega(q)$ and $\nu(q)$

George E Andrews·Ae Ja Yee
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Abstract

Recently, Andrews, Dixit and Yee defined two partition functions $p_{\omega}(n)$ and $p_{\nu}(n)$ that are related with Ramanujan's mock theta functions $\omega(q)$ and $\nu(q)$, respectively. In this paper, we present two variable generalizations of their results. As an application, we reprove their results on $p_{\omega}(n)$ and $p_{\nu}(n)$ that are analogous to Euler's pentagonal number theorem.

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George E Andrews, Ae Ja Yee. 2017-09-11. Some Identities associated with mock theta functions $\omega(q)$ and $\nu(q)$. https://arxiv.org/abs/1709.03213

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