On Diophantine equations involving Lucas sequences

DOI10.1515/math-2019-0073zbMath1427.11020OpenAlexW2968596457MaRDI QIDQ2278421

Pavel Trojovský

Publication date: 5 December 2019

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2019-0073

zbMATH Keywords

tridiagonal matrixLucas sequenceFibonacci number\(p\)-adic orderorder of appearance

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• On integer numbers with locally smallest order of appearance in the Fibonacci sequence
• Combinatorial numbers in binary recurrences
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• The \(p\)-adic order of the \(k\)-Fibonacci and \(k\)-Lucas numbers
• On numbers n dividing the nth term of a Lucas sequence
• Unsolved problems in number theory
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