q-Analogues of the (E.2) and (F.2) supercongruences of Van Hamme

被引：0
|
作者：
Victor J. W. Guo
机构：
[1] Huaiyin Normal University,School of Mathematical Sciences
来源：
The Ramanujan Journal | 2019年 / 49卷
关键词：
Ramanujan; Supercongruences; -Analogues; Cyclotomic polynomials; -WZ pair; Primary 11B65; Secondary 05A10; 05A30;
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学科分类号：
摘要：
Motivated by Zudilin’s work, we give q-analogues of the Ramanujan-type supercongruences (E.2) and (F.2) of Van Hamme. Our proof utilizes the q-WZ method and properties of cyclotomic polynomials. Using the same q-WZ pair, we also give q-analogues of some similar supercongruences due to He and Swisher. Additionally, we propose several related conjectures on supercongruences or q-supercongruences.
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页码：531 / 544
页数：13
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