Multiplicative dependent pairs in the sequence of Padovan numbers

DOI10.1515/ms-2023-0083OpenAlexW4387461064MaRDI QIDQ6066739

Mitashree Behera, Prasanta Kumar Ray

Publication date: 16 November 2023

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

Full work available at URL: https://doi.org/10.1515/ms-2023-0083

zbMATH Keywords

reduction methodslinear forms in logarithmPadovan sequencemultiplicative dependent

Mathematics Subject Classification ID

Recurrences (11B37) Exponential Diophantine equations (11D61) Linear forms in logarithms; Baker's method (11J86)

Cites Work

• Unnamed Item
• Multiplicative Diophantine equations with factors from different Lucas sequences
• Multiplicative independence in \(k\)-generalized Fibonacci sequences
• Padovan numbers that are concatenations of two distinct repdigits
• Padovan and Perrin numbers as product of two repdigits
• Multiplicative dependence between \(k\)-Fibonacci and \(k\)-Lucas numbers
• 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
• Multiplicatively dependent triples of Tribonacci numbers
• Problems in Algebraic Number Theory
• Number Theory

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