{"title":"Ultrametric smale's α-theory","authors":"Jazz G. Suchen, Josué Tonelli-Cueto","doi":"10.1145/3572867.3572875","DOIUrl":null,"url":null,"abstract":"We present a version of Smale's α-theory for ultrametric fields, such as the p-adics and their extensions, which gives us a multivariate version of Hensel's lemma.","PeriodicalId":41965,"journal":{"name":"ACM Communications in Computer Algebra","volume":"56 1","pages":"56 - 59"},"PeriodicalIF":0.4000,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM Communications in Computer Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3572867.3572875","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 1
Abstract
We present a version of Smale's α-theory for ultrametric fields, such as the p-adics and their extensions, which gives us a multivariate version of Hensel's lemma.
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