On perfect powers in \(k\)-generalized Pell-Lucas sequence

DOI10.1134/s0001434623110287arXiv2209.04190MaRDI QIDQ6154089

Refik Keskin, Zafer Ṣiar

Publication date: 19 March 2024

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.04190

zbMATH Keywords

exponential Diophantine equationBaker's methodFibonacci and Lucas numberslinear form in logarithms

Mathematics Subject Classification ID

Sequences and sets (11Bxx) Diophantine equations (11Dxx) Diophantine approximation, transcendental number theory (11Jxx)

Cites Work

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• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
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• Perfect Pell Powers
• On a generalization of the Pell sequence
• Repdigits in generalized Pell sequences
• Products of $k$-Fibonacci numbers which are rep-digits
• k-generalized Fibonacci numbers which are concatenations of two repdigits
• Powers in products of terms of Pell's and Pell–Lucas Sequences
• Powers of two as sums of two k-Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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