{"title":"Heuristic derivation of Zudilin’s supercongruences for rational Ramanujan series","authors":"Jesús Guillera","doi":"10.1007/s13163-024-00498-1","DOIUrl":null,"url":null,"abstract":"<p>We derive, using a heuristic method, a <i>p</i>-adic mate of bilateral Ramanujan series. It has (among other consequences) Zudilin’s supercongruences for rational Ramanujan series.</p>","PeriodicalId":501429,"journal":{"name":"Revista Matemática Complutense","volume":"296 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Matemática Complutense","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s13163-024-00498-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We derive, using a heuristic method, a p-adic mate of bilateral Ramanujan series. It has (among other consequences) Zudilin’s supercongruences for rational Ramanujan series.
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