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

Mahadi Ddamulira

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)263-277
Number of pages15
JournalBoletín de la Sociedad Matemática Mexicana
Volume26
Issue number2
Early online date17 Sep 2019
DOIs
Publication statusPublished - 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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