On the local behavior of the order of appearance in the Fibonacci sequence

DOI10.1142/S1793042114500079zbMath1387.11016OpenAlexW1992783320MaRDI QIDQ5494552

Florian Luca, Carl B. Pomerance

Publication date: 28 July 2014

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

Full work available at URL: https://doi.org/10.1142/s1793042114500079

zbMATH Keywords

Fibonacci numbersapplications of sieve methodsapplications of the subspace theorem

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Diophantine inequalities (11D75) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items

On the local minima of the order of appearance function

Cites Work

• On integer numbers with locally smallest order of appearance in the Fibonacci sequence
• On a problem of Oppenheim concerning Factorisatio Numerorum
• A lower bound for the height of a rational function at \(S\)-unit points
• THE FIBONACCI-NORM OF A POSITIVE INTEGER: OBSERVATIONS AND CONJECTURES