ON THE DIOPHANTINE EQUATION y(2) = px(Ax(2) - 2)

被引：0
|
作者：
Yuan, Pingzhi [1 ]
Li, Yuan [2 ]
机构：
[1] South China Normal Univ, Sch Math, Guangzhou 510631, Peoples R China
[2] Winston Salem State Univ, Math Dept, Winston Salem, NC 27110 USA
来源：
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2009年 / 14卷 / 02期
关键词：
Diophantine equations; Lehmer sequences;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Cassels [5] gave all positive integer solutions to the Diophantine equation y(2) = 3x(x(2) + 2). In this paper, we prove an extension of Cassels' theorem by showing that for any prime p and odd positive integer A, the equation y(2) = px(Ax(2) -2) has at most five solutions in positive integers (x, y).
引用
收藏
页码：185 / 190
页数：6
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