Generalized Lucas numbers which are concatenations of two repdigits

DOI10.1007/s00025-021-01456-9zbMath1484.11047OpenAlexW3174531651MaRDI QIDQ2041219

Jhon J. Bravo, Eric F. Bravo, Carlos Alexis Gómez Ruiz

Publication date: 16 July 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01456-9

zbMATH Keywords

reduction methodlinear form in logarithmsrepdigitgeneralized Lucas number

Mathematics Subject Classification ID

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

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• Lucas numbers which are concatenations of two repdigits
• Padovan numbers which are palindromic concatenations of two distinct repdigits
• Associated Pell numbers which are repdigits or concatenation of two repdigits
• Tribonacci numbers with two blocks of repdigits
• Balancing numbers which are concatenation of two repdigits
• Repdigits in \(k\)-Lucas sequences
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• ON THE LARGEST PRIME FACTOR OF THE k-FIBONACCI NUMBERS
• On a conjecture about repdigits in k-generalized Fibonacci sequences
• Fermat $k$-Fibonacci and $k$-Lucas numbers
• Problems in Algebraic Number Theory
• Fibonacci numbers which are concatenations of two repdigits
• Products of $k$-Fibonacci numbers which are rep-digits
• Coincidences in generalized Lucas sequences
• Powers of two as sums of two k-Fibonacci numbers

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