scientific article; zbMATH DE number 7164294

zbMath1447.11026MaRDI QIDQ5213997

Fatih Erduvan, Refik Keskin

Publication date: 6 February 2020

Full work available at URL: https://dergipark.org.tr/en/pub/tbtkmath/issue/50820/662504

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

zbMATH Keywords

linear forms in logarithmsDiophantine equationsFibonacci numberLucas numberrepdigit

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)

Related Items (9)

Padovan and Perrin numbers as product of two repdigits ⋮ Pell and Pell-Lucas numbers as product of two repdigits ⋮ Balancing numbers which are products of three repdigits in base \(b\) ⋮ Fibonacci and Lucas numbers as products of three repdigits in base \(g\) ⋮ Padovan and Perrin numbers which are products of two repdigits in base \(b\) ⋮ \(k\)-Fibonacci and \(k\)-Lucas numbers as product of two repdigits ⋮ Lucas numbers which are concatenations of three repdigits ⋮ Fibonacci or Lucas numbers which are products of two repdigits in base \(b\) ⋮ \(k\)-Pell numbers as product of two repdigits

Cites Work

• Lucas numbers as sums of two repdigits
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• A short history of the Fibonacci and golden numbers with their applications
• Fibonacci Numbers which are Products of two Pell Numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
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