Ratios of sums of two Fibonacci numbers equal to powers of 2

被引：0
|
作者：
Bravo, Jhon J. [1 ]
Diaz, Maribel [1 ]
Luca, Florian [2 ,3 ,4 ]
机构：
[1] Univ Cauca, Dept Matemat, Calle 5 4-70, Popayan, Colombia
[2] Univ Witwatersrand, Sch Math, Private Bag 3, ZA-2050 Johannesburg, South Africa
[3] King Abdulaziz Univ, Res Grp Algebra Struct & Applicat, Al Ehtifalat St, Jeddah 21589, Saudi Arabia
[4] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
来源：
MATHEMATICAL COMMUNICATIONS | 2020年 / 25卷 / 02期
关键词：
Fibonacci number; Zeckendorf representation; linear form in logarithms; reduction method;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we find all solutions to the Diophantine equation F-n + F-m = 2(a)(F-r + F-s), where {F-k}(k >= 0) is the Fibonacci sequence. This paper continues and extends previous work, which investigated the powers of 2 that are sums of two Fibonacci numbers.
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页码：185 / 199
页数：15
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