The \(k\)-generalized Lucas numbers close to a power of 2

DOI10.1515/ms-2023-0064OpenAlexW4385578227MaRDI QIDQ6175359

Nurettin Irmak, Abdullah Acikel, László Szalay

Publication date: 18 August 2023

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2023-0064

zbMATH Keywords

Baker's methodLLL reduction\(k\)-generalized Lucas sequence

Mathematics Subject Classification ID

Diophantine inequalities (11D75) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items (1)

Explicit formulae of linear recurrences

Cites Work

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• Linear combinations of factorials and \(S\)-units in a binary recurrence sequence
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• k−Fibonacci numbers close to a power of 2
• Linear recurrences associated to rays in Pascal’s triangle and combinatorial identities
• Number Theory
• On $k$-generalized Lucas sequence with its triangle

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