Simultaneous quadratic equations with few or no solutions

DOI10.1016/S0019-3577(00)88567-5zbMath0993.11015MaRDI QIDQ5935879

Michael A. Bennett, Peter Gareth Walsh

Publication date: 28 June 2001

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

systems of simultaneous Pell equations

Mathematics Subject Classification ID

Units and factorization (11R27) Quadratic and bilinear Diophantine equations (11D09) Cubic and quartic Diophantine equations (11D25) Linear forms in logarithms; Baker's method (11J86)

Related Items (1)

Integral points on elliptic curves $y^{2}=x(x-2^{m}) (x+p)$

Cites Work

• Simultaneous Pell equations
• Solving families of simultaneous Pell equations
• Sets in Which xy + k is Always a Square
• On a Method of Solving a Class of Diophantine Equations
• On two classes of simultaneous Pell equations with no solutions
• Simultaneous rational approximations and related diophantine equations
• On integer solutions to x² - dy² = 1, z² - 2dy² =1
• Solving constrained Pell equations
• Simultaneous Pell equations
• Euler's concordant forms
• Five Diophantine Equations.
• Linear forms in the logarithms of algebraic numbers (IV)
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
• On the number of solutions of simultaneous Pell equations

This page was built for publication: Simultaneous quadratic equations with few or no solutions