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arXiv · 2601.01848

Some identities on the second order mock theta functions

Xingyuan Cai·Eric H. Liu·Olivia X. M. Yao
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Abstract

Recently, Nath and Das investigated congruence properties for the second order mock theta function $B(q)$. In their paper, they asked for analytic proofs of three identities on the second order mock theta functions $A(q)$, $B(q)$ and $\mu_2(q)$. In this paper, we settle Nath and Das' open problem by using the $(p, k)$-parametrization of theta functions and several identities due to Hickerson and Mortenson.

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Xingyuan Cai, Eric H. Liu, Olivia X. M. Yao. 2026-01-05. Some identities on the second order mock theta functions. https://arxiv.org/abs/2601.01848

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