Coincidence Between k-Fibonacci Numbers and Products of Two Fermat Numbers

被引：4

作者：

Gueye, Alioune ^{[1
]}

Rihane, Salah Eddine ^{[2
]}

Togbe, Alain ^{[3
]}

机构：

[1] Univ Gaston Berger, UFR Appl Sci & Technol, St Louis, Senegal

[2] Univ Ctr Mila, Inst Sci & Technol, Dept Math, Mila, Algeria

[3] Purdue Univ Northwest, Dept Math Stat & Comp Sci, 1401 S,US 421, Westville, IN 46391 USA

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2022年 / 53卷 / 02期

关键词：

k-Fibonacci numbers; Fermat numbers; Linear form in logarithms; Reduction method;

D O I：

10.1007/s00574-021-00269-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k >= 2. A generalization of the well-known Fibonacci sequence is the k-Fibonacci sequence. For this sequence, the first k terms are 0, ..., 0, 1 and each term afterwards is the sum of the preceding k terms. In this paper, we find all k-Fibonacci which are product of two Fermat numbers.

引用

页码：541 / 552

页数：12

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