Inhomogeneous norm form equations in two dominating variables over function fields

DOI10.1007/BF01903373zbMath0628.10019OpenAlexW2048450610MaRDI QIDQ1092941

Bela Brindza, István Gaál

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01903373

zbMATH Keywords

effective boundssolutions of inhomogeneous norm form equations over function fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Multiplicative and norm form equations (11D57)

Cites Work

• Bounds for the solutions of norm form, discriminant form and index form equations in finitely generated integral domains
• Norm form equations. I
• On the equation \(F(x,y)=z^ m\) over function fields
• Representation of numbers by the norm forms with two dominating variables
• Уравнение Туэ-Малера в относительных полях
• On Osgood's effective thue theorem for algebraic functions
• Contributions to the theory of Diophantine equations II. The Diophantine equation y ² = x ³ + k
• An effective p-adic analogue of a theorem of Thue
• An effective lower bound on the “Diophantine approximation” of algebraic functions by rational functions
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