Norm form equations. I

DOI10.1016/0022-314X(86)90069-7zbMath0578.10021MaRDI QIDQ1066174

R. C. Mason

Publication date: 1986

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

heightGalois extensionnorm form equationsrational function fieldunit equationinfinite valuations

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Non-Archimedean valued fields (12J25) Multiplicative and norm form equations (11D57)

Related Items

Effective bounds for the zeros of linear recurrences in function fields, Norm form equations. V: Degenerate modules, Vanishing Polynomial Sums, Inhomogeneous norm form equations in two dominating variables over function fields, Équations exponentielles-polynômes et suites récurrentes linéaires. II. (Exponential polynomial equations and linear recurrence sequences. II), Integral elements with given discriminant over function fields, Vanishing sums in function fields, Urata's theorem in the logarithmic case and applications to integral points, On the nodal sets of toral eigenfunctions, Sums of units in function fields, An \(ABC\) inequality for Mahler's measure, Diophantine equations over global function fields. IV: S-unit equations in several variables with an application to norm form equations, Notes on a generalized \(abc\)-conjecture over function fields, A Stothers-Mason theorem with a difference radical, Diophantine equations over global function fields. III: An application to resultant form equations, Unnamed Item

Cites Work

• Simultaneous approximation to algebraic numbers by rationals
• Norm form equations
• The hyperelliptic equation over function fields
• On Thue's Equation over Function Fields
• Contributions to the theory of diophantine equations I. On the representation of integers by binary forms
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