Pell equations for polynomials

DOI10.1016/S0019-3577(97)81817-4zbMath0894.11008MaRDI QIDQ1382961

Fumio Hazama

Publication date: 8 September 1998

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

zbMATH Keywords

quadratic diophantine equationsprimitive solutiongeneralized Jacobian varietyPell equations for polynomialstwisted conic

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Abelian varieties of dimension (> 1) (11G10) Jacobians, Prym varieties (14H40)

Related Items (6)

A note on the use of Rédei polynomials for solving the polynomial Pell equation and its generalization to higher degrees ⋮ Pell surfaces ⋮ Twist and generalized Chebyshev polynomials ⋮ A combinatorial proof of simplified Kollár's theorem on Pell's equations ⋮ Depth of cohomology support loci for quasi-projective varieties via orbifold pencils ⋮ The polynomial Pell equation

Cites Work

• On the Mordell-Weil group of certain abelian varieties defined over the rational function field
• Polynomial Pell's Equations
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