{"title":"Proof of some conjectures of Guo and of Tang","authors":"Guoping Gu, Xiaoxia Wang","doi":"10.1515/forum-2024-0101","DOIUrl":null,"url":null,"abstract":"\n Recently, Guo and Tang independently established some q-supercongruences from Rahman’s quadratic transformation.\nIn this paper, by applying the method of creative microscoping devised by Guo and Zudilin together with Rahman’s quadratic transformation again,\nwe provide proofs for eight conjectures on q-supercongruences proposed by Guo and by Tang.","PeriodicalId":12433,"journal":{"name":"Forum Mathematicum","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Forum Mathematicum","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/forum-2024-0101","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Recently, Guo and Tang independently established some q-supercongruences from Rahman’s quadratic transformation.
In this paper, by applying the method of creative microscoping devised by Guo and Zudilin together with Rahman’s quadratic transformation again,
we provide proofs for eight conjectures on q-supercongruences proposed by Guo and by Tang.
期刊介绍：
Forum Mathematicum is a general mathematics journal, which is devoted to the publication of research articles in all fields of pure and applied mathematics, including mathematical physics. Forum Mathematicum belongs to the top 50 journals in pure and applied mathematics, as measured by citation impact.
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