A DIOPHANTINE EQUATION IN k-FIBONACCI NUMBERS AND REPDIGITS

被引：12
作者：
Bravo, Jhon J. [1 ]
Gomez, Carlos A. [2 ]
Luca, Florian [3 ,4 ,5 ]
机构：
[1] Univ Cauca, Dept Matemat, Calle 5 4-70, Popayan, Colombia
[2] Univ Valle, Dept Matemat, Calle 13 100-00, Cali, Colombia
[3] Univ Witwatersrand, Sch Math, POB Wits, ZA-2050 Johannesburg, South Africa
[4] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
[5] Univ Ostrava, Fac Sci, Dept Math, 30 Dubna 22, Ostrava 70103 1, Czech Republic
来源：
COLLOQUIUM MATHEMATICUM | 2018年 / 152卷 / 02期
关键词：
generalized Fibonacci numbers; lower bounds for nonzero linear forms in logarithms of algebraic numbers; repdigits;
D O I：
10.4064/cm7149-6-2017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The k-generalized Fibonacci sequence {F-n((k))}(n) starts with the k values 0,... , 0,1 and each term afterwards is the sum of the k preceding terms. We study which members of this sequence are sums of two repdigts, extending a result of Diaz and Luca (2011) regarding Fibonacci numbers with this property.
引用
收藏
页码：299 / 315
页数：17
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