A DIOPHANTINE EQUATION IN k-FIBONACCI NUMBERS AND REPDIGITS

被引：14

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

页码：299 / 315

页数：17

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