The number of solutions to y2=px(ax2+2)

DOI10.2298/PIM1818149GzbMath1499.11165arXiv1504.02005MaRDI QIDQ5031112

Omar Kihel, Tarek Garici, Jesse Larone

Publication date: 18 February 2022

Published in: Publications de l'Institut Math?matique (Belgrade) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.02005

zbMATH Keywords

Diophantine equationsLegendre symbolintegral points on elliptic curves

Mathematics Subject Classification ID

Cubic and quartic Diophantine equations (11D25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• A note on the Diophantine equation \(y^2=px(Ax^2+2)\)
• Complete solution of the diophantine equation \(X^ 2+1=dY^ 4\) and a related family of quartic Thue equations
• Rational and algebraic approximations of algebraic numbers and their application
• Squares in Lehmer sequences and some Diophantine applications
• Squares in Lehmer sequences and the Diophantine equation Ax⁴-By²=2
• Solving a family of Thue equations with an application to the equation x²-Dy⁴=1
• The Diophantine equation aX 4 – bY 2 = 1
• A diophantine equation

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