On the Diophantine Equation x(2)

被引：0

作者：

Yow, K. S. ^{[1
]}

Sapar, S. H. ^{[1
]}

Atan, K. A. ^{[1
]}

机构：

[1] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia

来源：

PERTANIKA JOURNAL OF SCIENCE AND TECHNOLOGY | 2013年 / 21卷 / 02期

关键词：

Diophantine equation; generator; geometric progression;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper investigates and determines the solutions for the Diophantine equation x(2) + 4 center dot 7(b )= y(2r), where x,y, b are all positive intergers and r > 1. By substituting the values of r and b respectively, generators of x and y can be determined and classified into different categories. Then, by using geometric progression method, a general formula for each category can be obtained. The necessary conditions to obtain the integral solutions of x and y are also investigated.

引用

页码：443 / 457

页数：15