文章基本信息

标题：Integral Solutions of an Infinite Elliptic Cone X² = 4Y² + 5Z²
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作者：M.A. Gopalan ; J. Kannan ; Manju Somanath 等
期刊名称：International Journal of Innovative Research in Science, Engineering and Technology
印刷版ISSN：2347-6710
电子版ISSN：2319-8753
出版年度：2016
卷号：5
期号：10
页码：17549
DOI：10.15680/IJIRSET.2016.0510008
出版社：S&S Publications
摘要：The ternary quadratic Diophantine equation representing infinite elliptic cone given by 􀜺􀬶 = 4􀜻􀬶 +5􀜼􀬶 is analysed for its non-zero distinct integer points on it. Four different patterns of integer points satisfying thecone under consideration are obtained. Also knowing an integer solution satisfying the given cone six triples of integersgenerated from the given solution are exhibited.
关键词：Diophantine equation; Integral solution; infinite elliptic cone.