On the problem of Pillai with Padovan numbers and powers of 3

Mahadi Ddamulira

Research output: Contribution to journalArticle

Abstract

Let $\{P_n\_{n \ge 0}$ be the sequence of Padovan numbers defined by $P_0 = 0, P_1 = 1, P_2 = 1$, and $P_{n+3} = P_{n+1} + P_n$ for all $n \ge 0$. In this paper, we find all integers $c$ admitting at least two representations as a difference between a Padovan number and a power of $3$.
Original languageEnglish
Pages (from-to)364–379
JournalStudia Scientiarum Mathematicarum Hungarica
Volume56
Issue number3
DOIs
Publication statusPublished - 13 Oct 2019

Keywords

  • Padovan number
  • Linear forms in logarithms
  • Baker's method

ASJC Scopus subject areas

  • Algebra and Number Theory

Fields of Expertise

  • Information, Communication & Computing

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