scientific article; zbMATH DE number 7455876

zbMath1484.11006MaRDI QIDQ5021085

Chèfiath Adegbindin, Florian Luca, Alain S. Togbé

Publication date: 12 January 2022

Full work available at URL: http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1419

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zbMATH Keywords

Pell equationrep-digitlinear forms in complex and \(p\)-adic logarithms

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Cites Work

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• Lucas numbers as sums of two repdigits
• Pell and Pell-Lucas numbers as sums of two repdigits
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• Distinct digits in basebexpansions of linear recurrence sequences
• 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
• On terms of linear recurrence sequences with only one distinct block of digits
• On the $x$-coordinates of Pell equations which are rep-digits
• On integers with identical digits

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