Multiplicative dependence between Padovan and Perrin numbers

DOI10.1007/s40590-023-00525-zzbMath1525.11017MaRDI QIDQ6175556

Mitashree Behera, Prasanta Kumar Ray

Publication date: 24 July 2023

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

zbMATH Keywords

linear forms in logarithmsLLL algorithmPadovan numbersPerrin numbersmultiplicative dependent

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)

Cites Work

• Multiplicative Diophantine equations with factors from different Lucas sequences
• Multiplicative independence in \(k\)-generalized Fibonacci sequences
• Padovan numbers which are palindromic concatenations of two distinct repdigits
• Padovan numbers that are concatenations of two distinct 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
• Number Theory

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