Can a Lucas number be a sum of three repdigits?

DOI10.14712/1213-7243.2020.028OpenAlexW3114593273MaRDI QIDQ5140433

Chèfiath Adegbindin, Alain S. Togbé

Publication date: 15 December 2020

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14712/1213-7243.2020.028

zbMATH Keywords

Pell equationrepdigitlinear forms in complex 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

• 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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