On a Diophantine equation related to the difference of two Pell numbers

被引：0

作者：

Cagman, Abdullah ^{[1
]}

Polat, Kadirhan ^{[1
]}

机构：

[1] Agri Ibrahim Cecen Univ, Dept Math, Agri, Turkiye

来源：

CONTRIBUTIONS TO MATHEMATICS | 2021年 / 3卷

关键词：

Pell numbers; Diophantine equation; Baker's theory; FIBONACCI;

D O I：

10.47443/cm.2021.0020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Diophantine equation Pn n - Pm m = 3 a is considered and all solutions for this equation are obtained. In the proof of the main theorem, lower bounds for the absolute value of linear combinations of logarithms and a version of the Baker-Davenport reduction method are used.

引用

页码：37 / 42

页数：6

共 8 条

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