SOME NEW q-SUPERCONGRUENCES INVOLVING ONE FREE PARAMETER

Xiaoxia Wang; Menglin Yu

doi:10.1216/rmj.2023.53.1285

Abstract

Recently, Guo (2019) gave a $q$ -analogue of a combinatorial congruence by Sun (2010). Later, Wang and Ni (2022) obtained several conclusions similar to Guo’s $q$ -congruence. We establish some $q$ -supercongruences involving one free parameter, which are common generalizations of these $q$ -congruences of Guo and Wang and Ni just mentioned.

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Xiaoxia Wang. Menglin Yu. "SOME NEW $q$ -SUPERCONGRUENCES INVOLVING ONE FREE PARAMETER." Rocky Mountain J. Math. 53 (4) 1285 - 1290, August 2023. https://doi.org/10.1216/rmj.2023.53.1285

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Received: 12 May 2022; Accepted: 26 August 2022; Published: August 2023

First available in Project Euclid: 30 August 2023

MathSciNet: MR4635002

Digital Object Identifier: 10.1216/rmj.2023.53.1285

Subjects:

Primary: 33D15

Secondary: 11A07 , 11B65

Keywords: combinatorial congruence , cyclotomic polynomial , q-congruence , q-supercongruence

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