ON THE DIOPHANTINE EQUATION x2-kxy+y2+2n=0

被引：3

作者：

Keskin, Refik ^{[1
]}

Karaatli, Olcay ^{[1
]}

Siar, Zafer ^{[1
]}

机构：

[1] Sakarya Univ, Fac Arts & Sci, TR-54187 Sakarya, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2012年 / 13卷 / 02期

关键词：

Diophantine equations; Pell equations; generalized Fibonacci and Lucas numbers;

D O I：

10.18514/MMN.2012.433

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we determine when the equation in the title has an infinite number of positive integer solutions x and y when 0 <= n <= 10. Moreover, we give all the positive integer solutions of the same equation for 0 <= n <= 10.

引用

页码：375 / 388

页数：14

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