On the distance between products of consecutive Fibonacci numbers and powers of Fibonacci numbers

被引：3

作者：

Bravo, Jhon J. ^{[1
]}

Komatsu, Takao ^{[2
]}

Luca, Florian ^{[3
]}

机构：

[1] Univ Cauca, Dept Matemat, Popayan, Colombia

[2] Hirosaki Univ, Grad Sch Sci & Technol, Hirosaki, Aomori 0368561, Japan

[3] Univ Nacl Autonoma Mexico, Inst Matemat, Morelia 58089, Michoacan, Mexico

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2013年 / 24卷 / 01期

基金：

日本学术振兴会;

关键词：

Fibonacci numbers; Applications of linear forms in logarithms of algebraic numbers; DIOPHANTINE EQUATIONS; FORMS;

D O I：

10.1016/j.indag.2012.08.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Here, we find a lower bound for vertical bar F-n . . . Fn+k-1 - F-m(l)vertical bar for positive integers k, l, m and n in terms of max{k, l, m, n}, where F-s is the sth Fibonacci number. (c) 2012 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

引用

页码：181 / 198

页数：18

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