On the Zeckendorf representation of smooth numbers

zbMath1491.11011arXiv1909.03863MaRDI QIDQ5154984

Yann Bugeaud

Publication date: 5 October 2021

Full work available at URL: https://arxiv.org/abs/1909.03863

zbMATH Keywords

radix representationprime factorFibonacci numbersmooth numberSchmidt subspace theoremBaker's theory

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Distribution of integers with specified multiplicative constraints (11N25) Linear forms in logarithms; Baker's method (11J86)

Related Items (3)

\(S\)-parts of sums of terms of linear recurrence sequences ⋮ Some arithmetical properties of convergents to algebraic numbers ⋮ Zeckendorf representation of multiplicative inverses modulo a Fibonacci number

Cites Work

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• On divisors of Lucas and Lehmer numbers
• On the digital representation of integers with bounded prime factors
• Prime powers in sums of terms of binary recurrence sequences
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• Unit Equations in Diophantine Number Theory
• Continued Fractions and Linear Recurrences
• Automatic Sequences
• On the digital representation of smooth numbers
• ‐PARTS OF TERMS OF INTEGER LINEAR RECURRENCE SEQUENCES

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