{"title":"有理拉曼奴扬级数的祖迪林超公差启发式推导","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":"{\"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}","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}
Heuristic derivation of Zudilin’s supercongruences for rational Ramanujan series
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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