联立Pell方程组的解数

journal6 ›› 2003, Vol. 24 ›› Issue (2): 1-9.

• 数学 • 下一篇

联立Pell方程组的解数

(1.湛江师范学院数学系，广东湛江524048；2.上海师范大学数学系，上海200234)

出版日期:2003-06-15 发布日期:2012-11-07

The Number of Solutions of Simultaneous Pell Equations

(Department of Mathematics,Zhanjiang Normal College，Zhanjiang,Guangdong，China)

Online:2003-06-15 Published:2012-11-07
About author:LE Mao-hua(1952-),male,was born in Shanghai,professor of the department of Mathematic,Zhanjiang Normal College.
Supported by:
Supported by the National Natural Science Foundation of China(10271104),the Guangdong Provincial Natural Science Foundation (011781) and the Natural Science Foundation of the Education Department of Guangdong Province(0161)

摘要/Abstract

摘要：设ａ，ｂ是不同的正整数.证明了：当ｍａｘ（ａ，ｂ）＞１０１１８时，联立ｐｅｌｌ方程组ｘ２－ａｙ２＝１和ｚ２－ｂｙ２＝１至多有2组正整数解(ｘ，ｙ，ｚ).

关键词： 联立方程组, 解数, Gel'fond-Baker方法

Abstract: Let a,b　be distinct positive integers.If max (a,b)＞ 10118,then the simultaneous Pell equations x2-ay2=1 and z2-by2=1 have at most two positive integer solutions (x,y,z).

Key words: Simultaneous Pell equations, number of solutions, Gel'fond-Baker method

乐茂华. 联立Pell方程组的解数[J]. journal6, 2003, 24(2): 1-9.

LE Mao-Hua. The Number of Solutions of Simultaneous Pell Equations[J]. journal6, 2003, 24(2): 1-9.

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联立Pell方程组的解数

The Number of Solutions of Simultaneous Pell Equations

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