On a variant of Pillai's problem

被引：21

作者：

Chim, Kwok Chi ^{[1
]}

Pink, Istvan ^{[2
,3
]}

Ziegler, Volker ^{[3
]}

机构：

[1] Graz Univ Technol, Inst Anal & Number Theory, Kopernikusgasse 24-2, A-8010 Graz, Austria

[2] Univ Debrecen, Inst Math, POB 12, H-4010 Debrecen, Hungary

[3] Univ Salzburg, Hellbrunnerstr 34-1, A-5020 Salzburg, Austria

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2017年 / 13卷 / 07期

基金：

奥地利科学基金会;

关键词：

Diophantine equations; Pillai's problem; Fibonacci sequence; Tribonacci sequence; ALGEBRAIC-NUMBERS; LINEAR-FORMS; LOGARITHMS; CONJECTURE; EQUATIONS;

D O I：

10.1142/S1793042117500981

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we find all integers c having at least two representations as a difference between a Fibonacci number and a Tribonacci number.

引用

页码：1711 / 1727

页数：17

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