Repdigits as sums of two \(k\)-Fibonacci numbers

DOI10.1007/s00605-014-0622-6zbMath1390.11034OpenAlexW2104847151MaRDI QIDQ2514254

Florian Luca, Jhon J. Bravo

Publication date: 3 February 2015

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-014-0622-6

zbMATH Keywords

linear forms in logarithmsreduction methodgeneralized Fibonacci numbersrepdigits

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items (6)

On Fermat and Mersenne numbers expressible as product of two \(k\)-Fibonacci numbers ⋮ Repdigits as sums of two generalized Lucas numbers ⋮ On repdigits which are sums or differences of two \(k\)-Pell numbers ⋮ \(k\)-Fibonacci and \(k\)-Lucas numbers as product of two repdigits ⋮ Unnamed Item ⋮ Repdigits in Narayana's Cows Sequence and their Consequences

Cites Work

• The Binet formula, sums and representations of generalized Fibonacci \(p\)-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
• On a conjecture about repdigits in k-generalized Fibonacci sequences
• Generalized Fibonacci and Lucas Sequences and Rootfinding Methods
• Generalized Fibonacci Numbers and Associated Matrices
• On the Periods of Generalized Fibonacci Recurrences
• A simplified Binet formula for k-generalized Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
• On Generalized Fibonacci Numbers
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