Ji-Cai Liu

activity

20142023

q

-binomial coefficients

105 citations · 168 across the 35 of their papers we have counts for

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math.NT2022

Supercongruences involving Motzkin numbers and central trinomial coefficients

Ji-Cai Liu

Let $M_{n}$ and $T_{n}$ denote the $n$ th Motzkin number and the $n$ th central trinomial coefficient respectively. We prove that for any prime $p \geq 5$ , \begin{align*} &\sum_{k=0}^{p-1}…

math.NT2022

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

Ji-Cai Liu, Wei-Wei Qi

We study divisibility for the $q$ -trinomial coefficients $τ_{0} (n, m, q)$ , $T_{0} (n, m, q)$ and $T_{1} (n, m, q)$ , which were first introduced by Andrews and Baxter. In particular, we completel…

Supercongruences involving Motzkin numbers and central trinomial coefficients

Further results on the divisibility of q-trinomial coefficients

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