ON PERFECT POWERS IN LINEAR RECURRENCE SEQUENCES OF INTEGERS

DOI10.2206/kyushujm.73.221zbMath1480.11037OpenAlexW3038781695MaRDI QIDQ3298427

Hajime Kaneko, Yann Bugeaud

Publication date: 14 July 2020

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.73.221

zbMATH Keywords

Diophantine approximationDiophantine equationrecurrence sequence

Mathematics Subject Classification ID

Recurrences (11B37) Higher degree equations; Fermat's equation (11D41)

Related Items

On prime powers in linear recurrence sequences, ON THE GROWTH OF LINEAR RECURRENCES IN FUNCTION FIELDS

Cites Work

• Perfect powers in second order linear recurrences
• The zero multiplicity of linear recurrence sequences
• On the Diophantine equation $ax^{2t}+bx^ty+cy^2=d$ and pure powers in recurrence sequences.
• Polynomial-exponential equations and linear recurrences
• Perfect powers in linear recurring sequences
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