POLYNOMIAL SOLUTIONS OF PELL'S EQUATION AND FUNDAMENTAL UNITS IN REAL QUADRATIC FIELDS

DOI10.1112/S002461070200371XzbMath1046.11014arXiv1812.10828MaRDI QIDQ4467567

James Mc Laughlin

Publication date: 10 June 2004

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.10828

zbMATH Keywords

fundamental solutionreal quadratic fieldDiophantine equationPell

Mathematics Subject Classification ID

Units and factorization (11R27) Quadratic and bilinear Diophantine equations (11D09)

Related Items (7)

A note on the use of Rédei polynomials for solving the polynomial Pell equation and its generalization to higher degrees ⋮ Fundamental units for real quadratic fields determined by continued fraction conditions ⋮ On polynomial solutions of Pell's equation ⋮ Generalized Jacobians and Pellian polynomials ⋮ ON THE EQUATION f(g(x))=f(x)h^m(x) FOR COMPOSITE POLYNOMIALS ⋮ Distribution of Class Numbers in Continued Fraction Families of Real Quadratic Fields ⋮ The polynomial Pell equation

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