Abstract
Motivated by the recent research of congruences and -congruences, we provide two different -analogues of the (G.2) supercongruence of Van Hamme through the “creative microscoping” method, which was recently devised by Guo and Zudilin. It is a remarkable fact that this is the first time giving -analogues of (G.2). In addition, we propose a conjecture on a partial -analogue of Swisher’s Dwork-type supercongruence (G.3).
Citation
Yudong Liu. Xiaoxia Wang. "-analogues of the (G.2) supercongruence of Van Hamme." Rocky Mountain J. Math. 51 (4) 1329 - 1340, August 2021. https://doi.org/10.1216/rmj.2021.51.1329
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