{"title":"On the Ramanujan-Nagell type Diophantine equation \\(Dx^2+k^n=B\\)","authors":"Zhong-Can Zhang, A. Togbé","doi":"10.3336/gm.56.2.04","DOIUrl":null,"url":null,"abstract":"In this paper, we prove that the Ramanujan-Nagell type Diophantine equation \\(Dx^2+k^n=B\\) has at most three nonnegative integer solutions \\((x, n)\\) for \\(k\\) a prime and \\(B, D\\) positive integers.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3336/gm.56.2.04","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
In this paper, we prove that the Ramanujan-Nagell type Diophantine equation \(Dx^2+k^n=B\) has at most three nonnegative integer solutions \((x, n)\) for \(k\) a prime and \(B, D\) positive integers.
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