{"title":"Some inequalities about univariate polynomials","authors":"M. Mignotte","doi":"10.1145/800206.806395","DOIUrl":null,"url":null,"abstract":"This paper deals with the two following topics: bounds for the heights of divisors of polynomials, minimal distance between distinct roots of integral univariate polynomials. In each case we recall the best known results, we give some new inequalities and, constructing suitable examples, we show that these inequalities are not “too bad”.","PeriodicalId":314618,"journal":{"name":"Symposium on Symbolic and Algebraic Manipulation","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1981-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"24","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Symposium on Symbolic and Algebraic Manipulation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/800206.806395","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 24
Abstract
This paper deals with the two following topics: bounds for the heights of divisors of polynomials, minimal distance between distinct roots of integral univariate polynomials. In each case we recall the best known results, we give some new inequalities and, constructing suitable examples, we show that these inequalities are not “too bad”.
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