On the representation of Fibonacci and Lucas numbers in an integer base

DOI10.1007/s40316-013-0002-yzbMath1367.11064OpenAlexW2037413936MaRDI QIDQ743705

Maurice Mignotte, Yann Bugeaud, Mihai Cipu

Publication date: 30 September 2014

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

Full work available at URL: https://doi.org/10.1007/s40316-013-0002-y

zbMATH Keywords

Fibonacci numbersLucas numberslinear forms in logarithmsdigits

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items (3)

On the digital representation of smooth numbers ⋮ Effective results for linear equations in members of two recurrence sequences ⋮ Dyadic approximation in the middle-third Cantor set

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• On the representation of an integer in two different bases.
• A result on the digits of aⁿ
• A quantitative version of the Absolute Subspace Theorem

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