Pell and Pell-Lucas numbers as difference of two repdigits

DOI10.1007/s13370-023-01113-0arXiv2310.08422OpenAlexW4387908909MaRDI QIDQ6084747

Bernadette Faye, Bilizimbéyé Edjeou

Publication date: 2 December 2023

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2310.08422

zbMATH Keywords

Pell equationLucas sequenceDiophantine equations

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Cites Work

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• Lucas numbers as sums of two repdigits
• Fibonacci and Lucas numbers as difference of two repdigits
• Pell and Pell-Lucas numbers as sums of two repdigits
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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