On the $X$-coordinates of Pell equations which are Tribonacci numbers

DOI10.4064/aa8553-2-2017zbMath1410.11007OpenAlexW2569930649MaRDI QIDQ5268768

Florian Luca, László Szalay, Amanda Montejano, Alain S. Togbé

Publication date: 20 June 2017

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa8553-2-2017

zbMATH Keywords

linear forms in logarithmsPell equation

Mathematics Subject Classification ID

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

Related Items (13)

On the X-coordinates of Pell equations X2 − dY2 = ±1 as difference of two Fibonacci numbers ⋮ On the \(X\)-coordinates of Pell equations of the form \(px^2\) ⋮ The \(x\)-coordinates of Pell equations and sums of two Fibonacci numbers. II. ⋮ Unnamed Item ⋮ The X -coordinates of Pell equations and Padovan numbers ⋮ \(X\)-coordinates of Pell equations which are Lucas numbers ⋮ On the \(x\)-coordinates of Pell equations that are sums of two Padovan numbers ⋮ On \(Y\)-coordinates of Pell equations which are members of a fixed binary recurrence ⋮ On the $x-$coordinates of Pell equations which are sums of two Padovan numbers ⋮ Zeckendorf representations with at most two terms to \(x\)-coordinates of Pell equations ⋮ On the \(x\)-coordinates of Pell equations which are products of two Fibonacci numbers ⋮ On the \(x\)-coordinates of Pell equations which are \(k\)-generalized Fibonacci numbers ⋮ \(X\)-coordinates of Pell equations in various sequences

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