{"title":"丢番图方程a2 = b2±bc +c2的一些性质","authors":"A. Majumdar","doi":"10.3329/JBAS.V45I1.54264","DOIUrl":null,"url":null,"abstract":"This paper gives some properties related to the Diophantine equations a2 = b2 ± bc +c2. It has been shown that, in some cases, each of the two Diophantine equations has multiple solutions. The formulas for multiple solutions are derived. \nJ. Bangladesh Acad. Sci. 45(1); 123-125: June 2021","PeriodicalId":15109,"journal":{"name":"Journal of Bangladesh Academy of Sciences","volume":"59 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On some properties of the Diophantine equations a2 = b2 ± bc +c2\",\"authors\":\"A. Majumdar\",\"doi\":\"10.3329/JBAS.V45I1.54264\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper gives some properties related to the Diophantine equations a2 = b2 ± bc +c2. It has been shown that, in some cases, each of the two Diophantine equations has multiple solutions. The formulas for multiple solutions are derived. \\nJ. Bangladesh Acad. Sci. 45(1); 123-125: June 2021\",\"PeriodicalId\":15109,\"journal\":{\"name\":\"Journal of Bangladesh Academy of Sciences\",\"volume\":\"59 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-07-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Bangladesh Academy of Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3329/JBAS.V45I1.54264\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Bangladesh Academy of Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3329/JBAS.V45I1.54264","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On some properties of the Diophantine equations a2 = b2 ± bc +c2
This paper gives some properties related to the Diophantine equations a2 = b2 ± bc +c2. It has been shown that, in some cases, each of the two Diophantine equations has multiple solutions. The formulas for multiple solutions are derived.
J. Bangladesh Acad. Sci. 45(1); 123-125: June 2021