On Y-coordinates of Pell equations which are base 2 rep-digits

DOI10.3336/gm.55.1.01zbMath1478.11016OpenAlexW3035748010MaRDI QIDQ3297401

Florian Luca, Bernadette Faye

Publication date: 20 July 2020

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3336/gm.55.1.01

zbMATH Keywords

exponential Diophantine equationsPell equationsapplications of linear forms in logarithms

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)

Related Items (7)

Mersenne numbers which are products of two Pell numbers ⋮ Terms of recurrence sequences in the solution sets of generalized Pell equations ⋮ On \(Y\)-coordinates of Pell equations which are Fibonacci numbers ⋮ Unnamed Item ⋮ On \(Y\)-coordinates of Pell equations which are members of a fixed binary recurrence ⋮ \(X\)-coordinates of Pell equations in various sequences ⋮ On \(Y\)-coordinates of Pell equations which are Lucas numbers

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