ON PILLAI'S PROBLEM WITH TRIBONACCI NUMBERS AND POWERS OF 2

被引：22

作者：

Bravo, Jhon J. ^{[1
]}

Luca, Florian ^{[2
,3
]}

Yazan, Karina ^{[1
]}

机构：

[1] Univ Cauca, Dept Matemat, Calle 5 4-70, Popayan, Colombia

[2] Univ Witwatersrand, Sch Math, Private Bag X3, ZA-2050 Johannesburg, South Africa

[3] Univ Ostrava, Fac Sci, Dept Math, 30 Dubna 22, CZ-70103 Ostrava 1, Czech Republic

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 03期

关键词：

Tribonacci numbers; linear forms in logarithms; reduction method; FIBONACCI;

D O I：

10.4134/BKMS.b160486

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Tribonacci sequence {T-n}(n >= 0) resembles the Fibonacci sequence in that it starts with the values 0, 1, 1, and each term afterwards is the sum of the preceding three terms. In this paper, we find all integers c having at least two representations as a difference between a Tribonacci number and a power of 2. This paper continues the previous work [5].

引用

页码：1069 / 1080

页数：12

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