Diophantine方程x^2-18y^2=1与y^2-2~nz^2=16的公解  

On the Common Solution of Diophantine Equations x^2-18y^2=1 and y^2-2~nz^2=16

作　　者：钱立凯[1] QIAN Li-kai(College of Teacher Education,Qujing Normal University,Qujing 655011,China)

机构地区：[1]曲靖师范学院教师教育学院,云南曲靖655011

出　　处：《唐山师范学院学报》2018年第3期1-4,共4页Journal of Tangshan Normal University

基　　金：云南省教育厅科研基金项目(2014Y462)

摘　　要：利用初等方法得出了Diophantine方程x^2-18y^2=1与y^2-2~nz^2=16(n∈Z+)仅有平凡解(x,y,z)=(±17,±4,0)。The common solutions of Diophantine equations in title only have common integer solution （x,y,z）=（±17,±4.0） with the help of element method.

关 键 词：DIOPHANTINE方程 PELL方程 整数解 公解 

分 类 号：O156.1[理学—数学]