On second order mock theta function $ B(q) $

Abstract

In this paper, we present some arithmetic properties for the second order mock theta function $ B(q) $ given by McIntosh as: $ B(q) = \sum\limits_{n = 0}^{\infty}\frac{q^n(-q;q^2)_n}{(q;q^2)_{n+1}}.

Keywords

• mock theta function
• congruences