q-Supercongruences from the q-Saalsch\"utz identity
Abstract
In terms of the q-Saalsch\"utz identity and the Chinese remainder theorem for coprime polynomials, we establish some q-supercongruences modulo the third power of a cyclotomic polynomial. In particular, we give a q-analogue of a formula due to Long and Ramakrishna [Adv. Math. 290 (2016), 773--808].
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