On the diophantine system -: x2-Dy2=1-D and x=2z2-1

被引：0

作者：

Le, MH ^{[1
]}

机构：

[1] Zhanjiang Normal Coll, Dept Math, Zhanjiang, Guangdong, Peoples R China

来源：

MATHEMATICA SCANDINAVICA | 2004年 / 95卷 / 02期

关键词：

D O I：

10.7146/math.scand.a-14455

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D be a positive integer such that D - 1 s an odd prime power. In this paper we give an elementary method to find all positive integer solutions (x, y, z) of the system of equations x 2 D Dy-2 = 1 - D and x = 2z(2) - 1. As a consequence we determine all solutions of the equations for D = 6 and 8.

引用

页码：171 / 180

页数：10

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