Repdigits as sums of four Pell numbers

DOI10.1007/S40590-018-0202-1zbMath1455.11019OpenAlexW2804406586WikidataQ129798657 ScholiaQ129798657MaRDI QIDQ2316781

Florian Luca, Benedict Vasco Normenyo, Alain S. Togbé

Publication date: 7 August 2019

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-018-0202-1

zbMATH Keywords

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

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 (14)

Unnamed Item ⋮ Unnamed Item ⋮ Repdigits as sums of three Padovan numbers ⋮ Unnamed Item ⋮ On repdigits which are sums or differences of two \(k\)-Pell numbers ⋮ Repdigits in generalized Pell sequences ⋮ Unnamed Item ⋮ Generalization of a theorem of Adegbindin, Luca and Togbé ⋮ Repdigits in Narayana's Cows Sequence and their Consequences ⋮ Repdigits base \(b\) as products of two Fibonacci numbers ⋮ Unnamed Item ⋮ Repdigits in the base $b$ as sums of four balancing numbers ⋮ Repdigits base b as products of two Lucas numbers ⋮ \(k\)-Pell numbers as product of two repdigits

Uses Software

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Cites Work

• Repdigits as sums of three Pell 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
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