Pell and Pell-Lucas numbers as product of two repdigits

DOI10.1134/S0001434622110207zbMath1506.11026MaRDI QIDQ2680733

Fatih Erduvan, Refik Keskin

Publication date: 4 January 2023

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Diophantine equationlinear form in logarithmsPell numberrepdigitPell-Lucas number

Mathematics Subject Classification ID

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

Cites Work

• Repdigits base \(b\) as products of two Pell numbers or Pell-Lucas numbers
• Pell and Pell-Lucas numbers as sums of two repdigits
• 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
• Powers of two as sums of two k-Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
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