{"title":"The irreducibility of polynomials related to work of Heim, Luca and Neuhauser","authors":"Joseph C Foster, Jeremiah Southwick","doi":"10.4064/aa230212-10-7","DOIUrl":null,"url":null,"abstract":"Heim, Luca and Neuhauser (2019) introduced two families of polynomials in a variable $x$ generated by the arithmetic functions $g(n) = n$ and $g(n) = n^2$. They established the irreducibility over $\\mathbb Q$ of the family generated by $g(n) = n$ and conj","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"24 1","pages":"0"},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Arithmetica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/aa230212-10-7","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Heim, Luca and Neuhauser (2019) introduced two families of polynomials in a variable $x$ generated by the arithmetic functions $g(n) = n$ and $g(n) = n^2$. They established the irreducibility over $\mathbb Q$ of the family generated by $g(n) = n$ and conj