Counting solutions to trinomial Thue equations: a different approach

DOI10.1090/S0002-9947-00-02437-5zbMath0995.11025OpenAlexW1596528040MaRDI QIDQ4485705

Emery Thomas

Publication date: 18 June 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02437-5

zbMATH Keywords

gap principleThue-Siegel principlenumber of solutions of Thue equationstrinomial Thue equation

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Counting solutions of Diophantine equations (11D45) Approximation to algebraic numbers (11J68)

Related Items (3)

The number of solutions to the trinomial Thue equation ⋮ The algebraic structure of the set of solutions to the Thue equation ⋮ Tetranomial Thue equations

Cites Work

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• Thue's equation and a conjecture of Siegel
• Diophantine approximations and diophantine equations
• On Thue's equation
• On the Thue-Siegel-Dyson theorem
• The approximation to algebraic numbers by rationals
• On Thue's theorem.
• Trinomial Thue equations and inequalities.
• COUNTING SOLUTIONS OF ∣ax^r–by^r∣≤h
• On the Number of Solutions of Polynomial Congruences and Thue Equations
• Rational Approximations to Certain Algebraic Numbers
• Contributions to the theory of Diophantine equations II. The Diophantine equation y ² = x ³ + k
• Rational approximations to algebraic numbers
• Rational approximations to algebraic numbers
• On the representation of integers by binary forms

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