Positive integer solutions of the diophantine equation x2 − Lnxy + (−1)ny2 = ±5r

被引：0

作者：

REFİK KESKİN

ZAFER ŞİAR

机构：

[1] Sakarya University,

[2] Bingöl University,undefined

来源：

Proceedings - Mathematical Sciences | 2014年 / 124卷

关键词：

Fibonacci numbers; Lucas numbers; diophantine equations; 11B37, 11B39;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we consider the equation x2−Lnxy+(−1)ny2 = ±5r and determine the values of n for which the equation has positive integer solutions x and y. Moreover, we give all positive integer solutions of the equation x2−Lnxy+(−1)ny2 = ±5r when the equation has positive integer solutions.

引用

页码：301 / 313

页数：12