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math.CO2021
On the divisibility of -trinomial coefficients
Ji-Cai Liu
We establish a congruence on sums of central -binomial coefficients. From this -congruence, we derive the divisibility of the -trinomial coefficients introduced by Andrews…
math.CO2019★ 1 cited
Some congruences related to a congruence of Van Hamme
Victor J. W. Guo, Ji-Cai Liu
We establish some supercongruences related to a supercongruence of Van Hamme, such as \begin{align*} \sum_{k=0}^{(p+1)/2} (-1)^k (4k-1)\frac{(-\frac{1}{2})_k^3}{k!^3} &\equiv p(-1)…