Congruences for the coefficients of the Gordon and McIntosh mock theta function $$\xi (q)$$

Recently Gordon and McIntosh introduced the third order mock theta function $$\xi (q)$$ defined by $$\begin{aligned} \xi (q)=1+2\sum _{n=1}^{\infty }\frac{q^{6n^2-6n+1}}{(q;q^6)_{n}(q^5;q^6)_{n}}. \end{aligned}$$ Our goal in this paper is to study arithmetic properties of coefficients function. We present a number such properties, including several infinite families Ramanujan-like congruences.