On repdigits which are sums or differences of two \(k\)-Pell numbers

DOI10.1515/MS-2023-0102MaRDI QIDQ6180426

Mariama Ndao Faye, Alain S. Togbé, Salah Eddine Rihane

Publication date: 19 January 2024

Published in: Mathematica Slovaca (Search for Journal in Brave)

zbMATH Keywords

reduction methodlinear form in logarithmsrepdigits\(k\)-Pell numbers

Mathematics Subject Classification ID

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

Cites Work

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• Common values of generalized Fibonacci and Pell sequences
• \(k\)-Pell numbers as product of two repdigits
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• Generalization of a theorem of Adegbindin, Luca and Togbé
• Linear combinations of factorials and \(S\)-units in a binary recurrence sequence
• Pell and Pell-Lucas numbers as sums of two repdigits
• Repdigits as sums of four Pell numbers
• The generalized Binet formula, representation and sums of the generalized order-\(k\) Pell numbers
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• Repdigits as sums of two \(k\)-Fibonacci numbers
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• Problems in Algebraic Number Theory
• On a generalization of the Pell sequence
• Repdigits in generalized Pell sequences

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