On the \(x\)-coordinates of Pell equations that are products of two Pell numbers

DOI10.1515/MS-2024-0004zbMATH Open1547.11042MaRDI QIDQ6550087

Mahadi Ddamulira, Florian Luca

Publication date: 4 June 2024

Published in: Mathematica Slovaca (Search for Journal in Brave)

zbMATH Keywords

linear forms in logarithmsPell equationPell numbers

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)

Cites Work

• Title not available (Why is that?)
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• Linear forms in two logarithms and interpolation determinants
• \(X\)-coordinates of Pell equations which are Lucas numbers
• 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 which are Tribonacci numbers. II
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• Existence of primitive divisors of Lucas and Lehmer numbers (with an appendix by M. Mignotte)
• An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers. II
• Fibonacci Numbers which are Products of two Pell Numbers
• On the $x$-coordinates of Pell equations which are Fibonacci numbers
• On the $x$--coordinates of Pell equations which are products of two: Lucas numbers, Pell numbers
• On the $X$-coordinates of Pell equations which are Tribonacci numbers
• On the $x$-coordinates of Pell equations which are Fibonacci numbers II
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
• The X -coordinates of Pell equations and Padovan numbers
• Number Theory

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