{"title":"Polynomials with factors of the form (xq–a) with roots modulo every integer","authors":"Bhawesh Mishra","doi":"10.1080/00927872.2024.2362332","DOIUrl":null,"url":null,"abstract":"Given an odd prime q, a natural number l and non-zero q-free integers a1,a2,…,al, none of which are equal to 1 or –1, we give necessary and sufficient conditions for the polynomial ∏j=1l(xq−aj) to ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"44 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00927872.2024.2362332","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
Given an odd prime q, a natural number l and non-zero q-free integers a1,a2,…,al, none of which are equal to 1 or –1, we give necessary and sufficient conditions for the polynomial ∏j=1l(xq−aj) to ...
期刊介绍：
Communications in Algebra presents high quality papers of original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra might also be published.
Topics Covered Include:
-Commutative Algebra
-Ring Theory
-Module Theory
-Non-associative Algebra including Lie algebras, Jordan algebras
-Group Theory
-Algebraic geometry
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