2 papers
math.NT2023
Two new -supercongruences arising from Carlitz's identity
Ji-Cai Liu, Wei-Wei Qi
From Carlitz's identity, we deduce two new -supercongruences modulo the square of a cyclotomic polynomial, which were originally conjectured by Guo. These results establish new…
math.NT2022
Further results on the divisibility of -trinomial coefficients
Ji-Cai Liu, Wei-Wei Qi
We study divisibility for the -trinomial coefficients , and , which were first introduced by Andrews and Baxter. In particular, we completel…