On the equation \(F(x,y)=z^ m\) over function fields

DOI10.1007/BF01956331zbMath0613.10018MaRDI QIDQ1088709

Bela Brindza

Publication date: 1987

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

zbMATH Keywords

binary formvaluationsS-integers

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Units and factorization (11R27) Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41)

Related Items

Inhomogeneous norm form equations in two dominating variables over function fields ⋮ Miyanishi's characterization of the affine 3-space does not hold in higher dimensions

Cites Work

• Bounds for the solutions of norm form, discriminant form and index form equations in finitely generated integral domains
• Lectures on the theory of algebraic functions of one variable
• The hyperelliptic equation over function fields
• Le Veque's superelliptic equation over function fields
• On the equation $y^m=f(x)$
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