An exponential Diophantine equation related to powers of two consecutive Fibonacci numbers

被引：31
|
作者：
Luca, Florian [1 ,2 ]
Oyono, Roger [3 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Morelia 58089, Michoacan, Mexico
[2] Univ Witwatersrand, John Knopfmacher Ctr Applicable Anal & Number The, ZA-2050 Johannesburg, South Africa
[3] Univ Polynesie Francaise, Equipe GAATI, F-98702 Faaa, Tahiti, France
来源：
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2011年 / 87卷 / 04期
关键词：
Fibonacci numbers; Applications of linear forms in logarithms;
D O I：
10.3792/pjaa.87.45
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Here, we show that there is no integer s >= 3 such that the sum of sth powers of two consecutive Fibonacci numbers is a Fibonacci number.
引用
收藏
页码：45 / 50
页数：6
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