Lucas numbers as sums of two repdigits

DOI10.1007/s10986-019-09451-yzbMath1427.11013OpenAlexW2970219565WikidataQ127317712 ScholiaQ127317712MaRDI QIDQ2010114

Florian Luca, Chèfiath Adegbindin, Alain S. Togbé

Publication date: 3 December 2019

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-019-09451-y

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)

Related Items (10)

Repdigits as difference of two Fibonacci or Lucas numbers ⋮ Narayana numbers as sums of two base b repdigits ⋮ Unnamed Item ⋮ Fibonacci and Lucas numbers as difference of two repdigits ⋮ Pell and Pell-Lucas numbers as difference of two repdigits ⋮ Unnamed Item ⋮ Padovan and Perrin numbers which are products of two repdigits in base \(b\) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• \(X\)-coordinates of Pell equations which are Lucas numbers
• 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 representation of an integer in two different bases.
• On integers with identical digits
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