{"title":"超尺度尺度α-理论","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":"{\"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}","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}
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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