{"title":"关于Ramanujan-Nagell型丢番图方程 \\(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":55601,"journal":{"name":"Glasnik Matematicki","volume":"68 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2021-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":55601,\"journal\":{\"name\":\"Glasnik Matematicki\",\"volume\":\"68 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2021-12-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Glasnik Matematicki\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3336/gm.56.2.04\",\"RegionNum\":4,\"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":"Glasnik Matematicki","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3336/gm.56.2.04","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
On the Ramanujan-Nagell type Diophantine equation \(Dx^2+k^n=B\)
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.
期刊介绍：
Glasnik Matematicki publishes original research papers from all fields of pure and applied mathematics. The journal is published semiannually, in June and in December.
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