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arXiv · 2009.03889

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

Chuanan Wei·Yudong Liu·Xiaoxia Wang
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Abstract

In terms of the $q$-Saalschütz 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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Chuanan Wei, Yudong Liu, Xiaoxia Wang. 2020-10-08. $q$-Supercongruences from the $q$-Saalschütz identity. https://arxiv.org/abs/2009.03889

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