Pell's Equation

@inproceedings{Barbeau2003PellsE,
  title={Pell's Equation},
  author={E. Barbeau},
  year={2003}
}
  • E. Barbeau
  • Published 2003
  • Mathematics
  • * The square root of 2 * Problems leading to Pell's equation and preliminary investigations * Quadratic surds * The fundamental solution * Tracking down the fundamental solution * Pell's equation and pythagorean triples * The cubic analogue of Pell's equation * Analogues of the fourth and higher degrees * A finite version of Pell's equation * Answers and solutions 
    46 Citations

    Figures from this paper

    Pell's Equation without Irrational Numbers
    • 2
    • PDF
    Higher Descent on Pell Conics I. From Legendre to Selmer
    • 13
    • PDF
    Solving some parametric quadratic Diophantine equation over Z and Fp
    • 2
    Additional Pell Identities
    Solving Norm Form Equations over Number Fields
    Effective High-Order Iterative Methods via the Asymptotic Form of the Taylor-Lagrange Remainder
    • I. Fried
    • Computer Science, Mathematics
    • J. Appl. Math.
    • 2014
    • 1
    • PDF

    References

    SHOWING 1-10 OF 48 REFERENCES
    The Pell equation
    • 10
    The Solution of Equations in Integers
    • 8
    Topics from the theory of numbers
    • 84
    The Mathematics of Plato's Academy: A New Reconstruction
    • 126
    The Size of the Fundamental Solutions of Consecutive Pell Equations
    • 7
    • PDF
    A list of errors in tables of the Pell equation
    • 1
    • PDF