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

Institut für Analysis und Zahlentheorie (5010)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

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

Originalsprache	englisch
Seiten (von - bis)	263-277
Seitenumfang	15
Fachzeitschrift	Boletín de la Sociedad Matemática Mexicana
Jahrgang	26
Ausgabenummer	2
Frühes Online-Datum	17 Sept. 2019
DOIs	https://doi.org/10.1007/s40590-019-00263-1
Publikationsstatus	Veröffentlicht - 1 Juli 2020

ASJC Scopus subject areas

Algebra und Zahlentheorie

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

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KW - Linear forms in logarithms

KW - Baker's method

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

Abstract

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