Even perfect numbers among generalized Fibonacci sequences

DOI10.1007/s12215-014-0165-7zbMath1329.11014OpenAlexW2094454765MaRDI QIDQ2255129

Diego Marques, Vinicius Facó

Publication date: 6 February 2015

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-014-0165-7

zbMATH Keywords

linear forms in logarithmsperfect numbersDiophantine equationsgeneralized Fibonacci sequences

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items (1)

Even perfect numbers in generalized Pell sequences

Uses Software

• Mathematica

Cites Work

• The proof of a conjecture concerning the intersection of \(k\)-generalized Fibonacci sequences
• Perfect Fibonacci and Lucas numbers
• Coincidences in generalized Fibonacci sequences
• 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
• ON THE LARGEST PRIME FACTOR OF THE k-FIBONACCI NUMBERS
• On a conjecture about repdigits in k-generalized Fibonacci sequences
• On the spacing between terms of generalized Fibonacci sequences
• A simplified Binet formula for k-generalized Fibonacci numbers
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