Powers of two as sums of three Fibonacci numbers

被引：16

作者：

Bravo, Eric F. ^{[1
]}

Bravo, Jhon J. ^{[1
]}

机构：

[1] Univ Cauca, Dept Matemat, Calle 5 4-70, Popayan, Colombia

来源：

LITHUANIAN MATHEMATICAL JOURNAL | 2015年 / 55卷 / 03期

关键词：

Diophantine equations; Fibonacci numbers; Zeckendorf representation; linear forms in logarithms; reduction method;

D O I：

10.1007/s10986-015-9282-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find all positive integer solutions of the Diophantine equation F (n) + F (m) + F (e) = 2 (a) , where F (k) is the kth term of the Fibonacci sequence. This paper continues and extends the previous work of J.J. Bravo and F. Luca [On the Diophantine equation F (n) + F (m) = 2 (a) , Quaest. Math., to appear].

引用

页码：301 / 311

页数：11

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