On the numbers of solutions of decomposable polynomial equations

DOI10.1007/BF01194408zbMath0655.10017OpenAlexW2615924184MaRDI QIDQ1109065

István Gaál, Jan-Hendrik Evertse, Kálmán Győry

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194408

zbMATH Keywords

integral domainsbounds for the number of solutionsdecomposable form equationsdecomposable polynomial equationsfiniteness criteriainhomogeneous Thue equations

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) Multiplicative and norm form equations (11D57)

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Cites Work

• Bounds for the solutions of norm form, discriminant form and index form equations in finitely generated integral domains
• Diophantine approximation
• The \(\mathfrak p\)-adic Thue-Siegel-Roth-Schmidt theorem
• A General Theory of Algebraic Geometry Over Dedekind Domains, I: The Notion of Models
• Exponential diophantine equations
• On norm form equations
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