Solving Skolem's problem for the \(k\)-generalized Fibonacci sequence with negative indices

DOI10.1016/j.jnt.2023.10.017MaRDI QIDQ6187125

Jonathan García, Florian Luca, Carlos Alexis Gómez Ruiz

Publication date: 10 January 2024

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

zbMATH Keywords

\(k\)-generalized Fibonacci sequenceSkolem's problemzero-multiplicity of linear recurrences

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Cites Work

• The zero multiplicity of linear recurrence sequences
• Effective results on the Skolem problem for linear recurrence sequences
• On the distance between two algebraic numbers
• The zero-multiplicity of third-order linear recurrences associated to the Tribonacci sequence
• A note on recurring series
• On the Complexity of the Orbit Problem
• Deux propriétés décidables des suites récurrentes linéaires
• On the zero-multiplicity of the k-generalized Fibonacci sequence
• Zeros of recurrence sequences
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