The number of solutions to the trinomial Thue equation

DOI10.7169/facm/2093arXiv2210.09631OpenAlexW4387884658MaRDI QIDQ6187382

Greg Knapp

Publication date: 15 January 2024

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.09631

zbMATH Keywords

Thue equationstrinomialsnumber theorygap principle

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Counting solutions of Diophantine equations (11D45)

Cites Work

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• Tetranomial Thue equations
• Contributions to a conjecture of Mueller and Schmidt on Thue inequalities
• On Thue's equation
• Rational approximation to algebraic numbers of small height: the Diophantine equation |axn - byn|= 1
• Trinomial Thue equations and inequalities.
• COUNTING SOLUTIONS OF ∣ax^r–by^r∣≤h
• Thue Equations with Few Coefficients
• Polynomial Minimum Root Separation
• Counting solutions to trinomial Thue equations: a different approach
• Representation of integers by sparse binary forms

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