\(X\)-coordinates of Pell equations which are Lucas numbers

DOI10.1007/s40590-018-0221-yzbMath1496.11051OpenAlexW2901236185MaRDI QIDQ2010828

Florian Luca, Bir Kafle, Alain S. Togbé

Publication date: 28 November 2019

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-018-0221-y

zbMATH Keywords

Lucas numberslinear forms in logarithmsPell equation

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items (6)

Mersenne numbers which are products of two Pell numbers ⋮ The \(x\)-coordinates of Pell equations and sums of two Fibonacci numbers. II. ⋮ Unnamed Item ⋮ Lucas numbers as sums of two repdigits ⋮ On the \(x\)-coordinates of Pell equations that are sums of two Padovan numbers ⋮ On the $x-$coordinates of Pell equations which are sums of two Padovan numbers

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear forms in two logarithms and interpolation determinants
• 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 a conjecture about repdigits in k-generalized Fibonacci sequences
• On $X$-coordinates of Pell equations which are repdigits
• The on-line encyclopedia of integer sequences
• On the $x$-coordinates of Pell equations which are rep-digits
• On the $x$-coordinates of Pell equations which are Fibonacci numbers
• On the $X$-coordinates of Pell equations which are Tribonacci numbers
• On the $x$-coordinates of Pell equations which are Fibonacci numbers II

This page was built for publication: \(X\)-coordinates of Pell equations which are Lucas numbers