Infinite families of congruences for the second order mock theta function $\mathcal{B}(q)$

Hemjyoti Nath, Hirakjyoti Das

The arithmetic properties of the second order mock theta function $\mathcal{B}(q)$, introduced by McIntosh, defined by \begin{equation*} \mathcal{B}(q) := \sum_{n \geq 0} \frac{q^n…