Further results on the divisibility of $q$-trinomial coefficients

Ji-Cai Liu, Wei-Wei Qi

We study divisibility for the $q$-trinomial coefficients ${\tau }_0(n,m,q)$, $T_0(n,m,q)$ and $T_1(n,m,q)$, which were first introduced by Andrews and Baxter. In particular, we completel…