Even perfect numbers in generalized Pell sequences

DOI10.1007/s10986-020-09505-6zbMath1471.11048OpenAlexW3109415565MaRDI QIDQ2038962

Jhon J. Bravo, Jose L. Herrera

Publication date: 7 July 2021

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-020-09505-6

zbMATH Keywords

reduction methodlinear form in logarithmsperfect numbergeneralized Pell number

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)

On a variant of Pillai problem: integers as difference between generalized Pell numbers and perfect powers

Cites Work

• Perfect Fibonacci and Lucas numbers
• Even perfect numbers among generalized Fibonacci sequences
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• φ(Fn ) = Fm
• On a generalization of the Pell sequence
• Perfect Pell and Pell–Lucas numbers
• Powers of two as sums of two k-Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
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