Diophantine triples of Fibonacci numbers

DOI10.4064/AA8259-6-2016zbMath1359.11028OpenAlexW2518755776MaRDI QIDQ2833583

Bo He, Florian Luca, Alain S. Togbé

Publication date: 18 November 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa8259-6-2016

zbMATH Keywords

Fibonacci numberslinear forms in logarithmsDiophantine m-tuple

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Counting solutions of Diophantine equations (11D45) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items (5)

Unnamed Item ⋮ On certain \(D(9)\) and \(D(64)\) Diophantine triples ⋮ Some family of Diophantine pairs with Fibonacci numbers ⋮ There are no Diophantine quadruples of Fibonacci numbers ⋮ There are no Diophantine quadruples of Pell numbers

Cites Work

• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• Linear forms in two logarithms and interpolation determinants II
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