The product of like-indexed terms in binary recurrences

DOI10.1006/jnth.2002.2794zbMath1018.11015OpenAlexW2015799517MaRDI QIDQ1864854

Florian Luca, Peter Gareth Walsh

Publication date: 23 March 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2002.2794

zbMATH Keywords

\(abc\)-conjectureexponential Diophantine equationsbinary recurrences

Mathematics Subject Classification ID

Recurrences (11B37) Exponential Diophantine equations (11D61)

Related Items (4)

On the exponential Diophantine equation \((a^n-2)(b^n-2)=x^2\) ⋮ A note on the diophantine equation \((a^n-1)(b^n-1)= x^2\) ⋮ On the exponential Diophantine equation \((a^n-1)(b^n-1)=x^2\) ⋮ A note on the exponential Diophantine equation \((a^n-1)(b^n-1)=X^2\)

Cites Work

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• Pure powers in recurrence sequences and some related diophantine equations
• Diophantine equations with power sums and universal Hilbert sets
• The \(abc\) conjecture
• ABC candies
• The Diophantine equation x⁴ - Dy² = 1, II
• Perfect powers in linear recurring sequences
• On the Diophantine equations \((2^n-1)(6^n-1)=x^2\) and \((a^n-1)(a^{kn}-1)=x^2\)

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