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

页码：185 / 190

页数：6

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