{"title":"多项式的不可约性与Heim, Luca和Neuhauser的工作有关","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":"{\"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}","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}
The irreducibility of polynomials related to work of Heim, Luca and Neuhauser
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
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