On a problem of Pillai with Fibonacci numbers and powers of 3

Mahadi Ddamulira

doi:10.1007/s40590-019-00263-1

On a problem of Pillai with Fibonacci numbers and powers of 3

Mahadi Ddamulira

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

Abstract

Consider the sequence {Fn}n≥0 of Fibonacci numbers defined by F= 0 , F1= 1 , and Fn+2= Fn+1+ Fn for all n≥ 0. In this paper, we find all integers c having at least two representations as a difference between a Fibonacci number and a power of 3

Original language	English
Pages (from-to)	263-277
Number of pages	15
Journal	Boletín de la Sociedad Matemática Mexicana
Volume	26
Issue number	2
Early online date	17 Sept 2019
DOIs	https://doi.org/10.1007/s40590-019-00263-1
Publication status	Published - 1 Jul 2020

Keywords

Fibonacci number
Linear forms in logarithms
Baker's method

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s40590-019-00263-1Licence: CC BY 4.0

Cite this

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abstract = "Consider the sequence {Fn}n≥0 of Fibonacci numbers defined by F= 0 , F1= 1 , and Fn+2= Fn+1+ Fn for all n≥ 0. In this paper, we find all integers c having at least two representations as a difference between a Fibonacci number and a power of 3",

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AB - Consider the sequence {Fn}n≥0 of Fibonacci numbers defined by F= 0 , F1= 1 , and Fn+2= Fn+1+ Fn for all n≥ 0. In this paper, we find all integers c having at least two representations as a difference between a Fibonacci number and a power of 3

KW - Fibonacci number

KW - Linear forms in logarithms

KW - Baker's method

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ER -

On a problem of Pillai with Fibonacci numbers and powers of 3

Abstract

Keywords

ASJC Scopus subject areas

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