On prime powers in linear recurrence sequences

DOI10.1007/s40316-021-00163-9OpenAlexW3154825546MaRDI QIDQ6081636

Japhet Odjoumani, Volker Ziegler

Publication date: 26 October 2023

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40316-021-00163-9

zbMATH Keywords

exponential Diophantine equationsDiophantine equationslinear recurrence sequences

Mathematics Subject Classification ID

Recurrences (11B37) Counting solutions of Diophantine equations (11D45) Exponential Diophantine equations (11D61)

Related Items (1)

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Cites Work

• Multiplicative independence in \(k\)-generalized Fibonacci sequences
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• Existence of primitive divisors of Lucas and Lehmer numbers
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• ON PERFECT POWERS IN LINEAR RECURRENCE SEQUENCES OF INTEGERS
• Linear forms in two logarithms and interpolation determinants II
• On the Diophantine equation $ax^{2t}+bx^ty+cy^2=d$ and pure powers in recurrence sequences.
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
• A sharpening of the bounds for linear forms in logarithms II
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