Pell方程x^2-15y^2=1与y^2-Dz^2=1的公解  

On the Common Solution of Pell Equations x^2-15y^2=1 and y^2-Dz^2=1

作　　者：普粉丽[1] 万飞[2] PU Fen-li;WAN Fei(College of Mathematics and Statistics, Puer University, Puer 665000, China;Education of Teachers College, Honghe University, Mengzi 661199, China)

机构地区：[1]普洱学院数学与统计学院,云南普洱665000 [2]红河学院教师教育学院,云南蒙自661199

出　　处：《唐山师范学院学报》2017年第2期1-4,共4页Journal of Tangshan Normal University

基　　金：云南省教育厅科研基金资助项目(2014Y462);红河学院校级课题(XJ15Y22)

摘　　要：设D=2p1…ps(1≤s≤3),p1,…,ps(1≤s≤3)是互异的奇素数。利用递归序列、奇偶分析、同余的性质和Pell方程的解的性质等方法讨论了Pell方程x^2-15y^2=1与y^2-Dz^2=1的公解的情况。By using recursive sequence,some properties of the odd and even,congruence,and the solutions to Pell equation,the common solutions of Pell equations x2-15y2=1and y2-Dz2=1were discussed.

关 键 词：PELL方程 整数解 递归序列 同余 

分 类 号：O156.1[理学—数学]