On a problem of Pillai with Fibonacci numbers and powers of 2

被引：27

作者：

Ddamulira, Mahadi ^{[1
]}

Luca, Florian ^{[2
]}

Rakotomalala, Mihaja ^{[3
]}

机构：

[1] Graz Univ Technol, Inst Anal & Number Theory, Steyrergasse 30-2, A-8010 Graz, Austria

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

[3] AIMS Ghana Biriwa, POB DL 676, Cape Coast, Central Region, Ghana

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2017年 / 127卷 / 03期

关键词：

Fibonacci numbers; linear forms in logarithms; reduction method;

D O I：

10.1007/s12044-017-0338-3

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 power of 2.

引用

页码：411 / 421

页数：11

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