On the resolution of thue inequalities

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Abstract

Let F(x, y) ∈ Z[x, y] be a homogenous polynomial of degree at least 3, and m ∈ Z. We describe a method for the resolution in (x, y) ∈ Z2, |y| ⩽ y0 of the inequality |F(x, y)| ⩽ m, using the continued fraction expansion of the roots of F(x, 1) We illustrate the method by solving the system of inequalities |y| ⩽ 10500 and |x3 + x2y-2xy2-y3| ⩽ 200.

Original languageEnglish
Pages (from-to)103-109
Number of pages7
JournalJournal of Symbolic Computation
Volume4
Issue number1
DOIs
Publication statusPublished - Jan 1 1987

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ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics

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