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arXiv · 2304.00298

Two new $q$-supercongruences arising from Carlitz's identity

Ji-Cai Liu·Wei-Wei Qi
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Abstract

From Carlitz's identity, we deduce two new $q$-supercongruences modulo the square of a cyclotomic polynomial, which were originally conjectured by Guo. These results establish new $q$-analogues of a supercongruence of Sun.

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Ji-Cai Liu, Wei-Wei Qi. 2023-04-01. Two new $q$-supercongruences arising from Carlitz's identity. https://arxiv.org/abs/2304.00298

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