scientific article; zbMATH DE number 7780917

zbMath1530.11021MaRDI QIDQ6141593

Fatih Erduvan, Refik Keskin

Publication date: 20 December 2023

Full work available at URL: http://www.math.nthu.edu.tw/~amen/2023/AMEN-A211023.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

linear forms in logarithmsBaker's methodDiophantine equationsJacobsthal-Lucas numbersFibonacci and Lucas numbers

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Cites Work

• Unnamed Item
• Unnamed Item
• Fibonacci numbers which are products of two Jacobsthal numbers
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• Fibonacci Numbers which are Products of two Pell Numbers
• Lucas Numbers Which are Products of Two Balancing Numbers
• Fibonacci numbers which are products of two balancing numbers
• Powers of two as sums of two k-Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²