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

被引：5
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
收藏
页码：375 / 388
页数：14
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