Repdigits as difference of two Fibonacci or Lucas numbers

DOI10.30970/ms.56.2.124-132zbMath1495.11029OpenAlexW4200493584MaRDI QIDQ2126885

K. Bhoi, Prasanta Kumar Ray

Publication date: 19 April 2022

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30970/ms.56.2.124-132

zbMATH Keywords

linear forms in logarithmsFibonacci sequenceLucas sequenceBaker-Davenport reduction method

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items (1)

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

Cites Work

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• Lucas numbers as sums of two repdigits
• Lucas numbers which are concatenations of two repdigits
• Linear combinations of factorials and \(S\)-units in a binary recurrence sequence
• 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
• k-generalized Fibonacci numbers which are concatenations of two repdigits
• Number Theory

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