{"title":"Quartic index form equations and monogenizations of quartic orders","authors":"S. Akhtari","doi":"10.2140/ent.2022.1.57","DOIUrl":null,"url":null,"abstract":". Some upper bounds for the number of monogenizations of quartic orders are established by considering certain classical Diophantine equations, namely index form equations in quartic number fields, and cubic and quartic Thue equations.","PeriodicalId":338657,"journal":{"name":"Essential Number Theory","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Essential Number Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/ent.2022.1.57","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
. Some upper bounds for the number of monogenizations of quartic orders are established by considering certain classical Diophantine equations, namely index form equations in quartic number fields, and cubic and quartic Thue equations.
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