Fibonacci numbers in generalized Pell sequences

DOI10.1515/ms-2017-0413zbMath1485.11025OpenAlexW3089502266MaRDI QIDQ2057876

Jose L. Herrera, Jhon J. Bravo

Publication date: 7 December 2021

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2017-0413

zbMATH Keywords

reduction methodFibonacci numberlinear form in logarithmsgeneralized Pell number

Mathematics Subject Classification ID

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

Related Items (2)

On a variant of Pillai problem: integers as difference between generalized Pell numbers and perfect powers ⋮ Common values of generalized Fibonacci and Pell sequences

Cites Work

• The proof of a conjecture concerning the intersection of \(k\)-generalized Fibonacci sequences
• Intersection des images de certaines suites recurrentes linéaires
• Coincidences in generalized Fibonacci sequences
• The generalized Binet formula, representation and sums of the generalized order-\(k\) Pell numbers
• The Binet formula, sums and representations of generalized Fibonacci \(p\)-numbers
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• On the Intersections of Fibonacci, Pell, and Lucas Numbers
• On a generalization of the Pell sequence
• Coincidences in generalized Lucas sequences
• Intersections of recurrence sequences
• Pell and Pell–Lucas Numbers with Applications
• Powers of two as sums of two k-Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
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