{"title":"Generalizations of Guo and Schlosser’s Two q-Supercongruences","authors":"Caihuan Zhang","doi":"10.1007/s00025-024-02237-w","DOIUrl":null,"url":null,"abstract":"<p>Recently, Guo and Schlosser (Results Math 78:105, 2023) gave two interesting <i>q</i>-supercongruences. With the help of the creative microscoping method introduced by Guo and Zudilin, and Jackson’s <span>\\(_{6}\\phi _{5}\\)</span> summation formula, we establish one-parameter generalizations of them in this paper.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00025-024-02237-w","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 Schlosser (Results Math 78:105, 2023) gave two interesting q-supercongruences. With the help of the creative microscoping method introduced by Guo and Zudilin, and Jackson’s \(_{6}\phi _{5}\) summation formula, we establish one-parameter generalizations of them in this paper.
期刊介绍：
Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.
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