Thue's equation and a conjecture of Siegel

DOI10.1007/BF02392276zbMath0655.10016WikidataQ123230911 ScholiaQ123230911MaRDI QIDQ1109064

Julia Mueller, Wolfgang M. Schmidt

Publication date: 1988

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

Thue equationsnumber of solutionsbinary form of degree \(r\ge 3\)modified Siegel's conjecture

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Counting solutions of Diophantine equations (11D45) Diophantine inequalities (11D75) Higher degree equations; Fermat's equation (11D41)

Related Items (17)

The Number of Solutions of Norm Form Equations ⋮ Thue equations that simultaneously fail the Hasse principle ⋮ An isoperimetric inequality related to Thue’s equation ⋮ On a conjecture of Siegel ⋮ Contributions to a conjecture of Mueller and Schmidt on Thue inequalities ⋮ The practical computation of areas associated with binary quartic forms ⋮ The Mathematical Work of Wolfgang Schmidt ⋮ On the Diophantine equation |𝑎𝑥ⁿ-𝑏𝑦ⁿ|=1 ⋮ On the Number of Solutions of Polynomial Congruences and Thue Equations ⋮ On the Newton polygon ⋮ A Note on the Thue Inequality ⋮ Binary Forms, Hypergeometric Functions and the Schwarz-Christoffel Mapping Formula ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Tetranomial Thue equations ⋮ Representation of integers by sparse binary forms ⋮ Counting solutions to trinomial Thue equations: a different approach

Cites Work

• On Thue's equation
• A lattice-point problem for norm forms in several variables
• An application of Jensen's formula to polynomials
• Trinomial Thue equations and inequalities.
• COUNTING SOLUTIONS OF ∣ax^r–by^r∣≤h
• Thue Equations with Few Coefficients
• On the Lattice Points on Curves of Genus 1
• On a Principle of Lipschitz
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