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$q$-Supercongruences from the $q$-Saalschütz identity

Published 8 Sep 2020 in math.CO | (2009.03889v2)

Abstract: In terms of the $q$-Saalsch\"{u}tz 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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