ON PERFECT POWERS IN LUCAS SEQUENCES

DOI10.1142/S1793042105000236zbMath1114.11014OpenAlexW2011015493MaRDI QIDQ3370692

Samir Siksek, Florian Luca, Maurice Mignotte, Yann Bugeaud

Publication date: 8 February 2006

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

Full work available at URL: https://doi.org/10.1142/s1793042105000236

zbMATH Keywords

perfect powersLucas sequences

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items

Products of members of Lucas sequences with indices in an interval being a power

Uses Software

• ecdata

Cites Work

• Perfect powers in second order linear recurrences
• The Magma algebra system. I: The user language
• Linear forms in two logarithms and interpolation determinants
• Powers in recurrence sequences: Pell equations
• On the Diophantine equation $ax^{2t}+bx^ty+cy^2=d$ and pure powers in recurrence sequences.
• Ternary Diophantine Equations via Galois Representations and Modular Forms
• Solving Thue equations without the full unit group
• Linear forms in p-adic logarithms and the Diophantine equation formula here
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