Repdigits base \(b\) as products of two Pell numbers or Pell-Lucas numbers

DOI10.1007/s40590-021-00377-5zbMath1485.11029OpenAlexW3196369293MaRDI QIDQ2236583

Refik Keskin, Fatih Erduvan, Zafer Ṣiar

Publication date: 25 October 2021

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-021-00377-5

zbMATH Keywords

linear forms in logarithmsPell numbersPell-Lucas numbersDiophantine equationsrepdigit

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 (5)

On the solutions of the Diophantine equation \(F_n \pm \frac{a (10^m - 1)}{9} = k!\) ⋮ Pell and Pell-Lucas numbers as product of two repdigits ⋮ On b -repdigits as product of consecutive of Lucas members ⋮ Balancing numbers which are products of three repdigits in base \(b\) ⋮ Fibonacci and Lucas numbers as products of three repdigits in base \(g\)

Cites Work

• Linear forms in logarithms and applications
• Tribonacci numbers that are concatenations of two repdigits
• Repdigits as products of two Fibonacci or Lucas 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
• Powers of two as sums of two k-Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
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