Solutions of the Diophantine equation \(7X^2 + Y^7 = Z^2\) from recurrence sequences

DOI10.2478/cm-2020-0005zbMath1483.11061OpenAlexW3019691943MaRDI QIDQ2038475

Hayder R. Hashim

Publication date: 7 July 2021

Published in: Communications in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/cm-2020-0005

zbMATH Keywords

Pell equationsLucas sequencesseptimic Diophantine equations

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The simultaneous diophantine equations \(5Y^ 2-20=X^ 2\) and \(2Y^ 2+1=Z^ 2\)
• On Some Applications of Diophantine Approximations
• Recurrence Relations for Solutions of Pell's Equation
• Sets in Which xy + k is Always a Square
• On a Method of Solving a Class of Diophantine Equations
• Solving constrained Pell equations
• On the Equations z^m = F (x, y ) and Ax^p + By^q = Cz^r
• Lucas and fibonacci numbers and some diophantine Equations
• Linear forms in the logarithms of algebraic numbers (IV)
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

This page was built for publication: Solutions of the Diophantine equation \(7X^2 + Y^7 = Z^2\) from recurrence sequences