{"title":"MASON-STOTHERS THEOREM AND PERFECT BINARY POLYNOMIALS","authors":"L. Gallardo","doi":"10.24330/ieja.768086","DOIUrl":null,"url":null,"abstract":". We prove that there is no perfect binary polynomial R that is the sum of two appropriate powers, besides, possibly R = P +1 with P irreducible. The proofs follow from analogue results involving the ABC-theorem for polynomials and a classical identity.","PeriodicalId":43749,"journal":{"name":"International Electronic Journal of Algebra","volume":"1 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2020-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Electronic Journal of Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24330/ieja.768086","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. We prove that there is no perfect binary polynomial R that is the sum of two appropriate powers, besides, possibly R = P +1 with P irreducible. The proofs follow from analogue results involving the ABC-theorem for polynomials and a classical identity.
期刊介绍：
The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.
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