{"title":"Multiples of integral points on Mordell curves","authors":"Amir Ghadermarzi","doi":"10.4064/aa220822-3-8","DOIUrl":null,"url":null,"abstract":"Let $B$ be a sixth-power-free integer and $P$ be a non-torsion point on the Mordell curve $E_B:y^2=x^3+B$. We study the integral multiples $[n]P$ of $P$. Among other results, we show that $P$ has at most three integral multiples with $n \\gt 1$. This resul","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"27 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/aa220822-3-8","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
Let $B$ be a sixth-power-free integer and $P$ be a non-torsion point on the Mordell curve $E_B:y^2=x^3+B$. We study the integral multiples $[n]P$ of $P$. Among other results, we show that $P$ has at most three integral multiples with $n \gt 1$. This resul
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