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math.NT2025
Some Congruences Involving Binomial Coefficient and Fermat Quotient
Wei-Wei Qi
In this paper, we investigate some congruences involving sums of , where be a -adic integer, be a non-negative int…
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…