An effective Roth's theorem for function fields

DOI10.1216/rmjm/1181072046zbMath0942.11034OpenAlexW1967528540MaRDI QIDQ1359161

Julie Tzu-Yueh Wang

Publication date: 20 August 2000

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/vol26-3/contents/contents.htm

zbMATH Keywords

WronskianRoth's theoremWeil height

Mathematics Subject Classification ID

Approximation to algebraic numbers (11J68)

Related Items (10)

Diophantine approximation constants for varieties over function fields ⋮ Quotient Problem For Entire Functions with Moving Targets ⋮ Integral orbits over function fields ⋮ On effective \(\epsilon\)-integrality in orbits of rational maps over function fields and multiplicative dependence ⋮ Greatest common divisors of analytic functions and Nevanlinna theory on algebraic tori ⋮ On Pisot's \(d\)-th root conjecture for function fields and related GCD estimates ⋮ A weak effective Roth's theorem over function fields ⋮ Roth's theorem over arithmetic function fields ⋮ On the torsion values for sections of an elliptic scheme ⋮ An effective Schmidt’s subspace theorem for arbitrary hypersurfaces over function fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better
• Diophantine approximations and value distribution theory
• The truncated second main theorem of function fields
• Eine Verallgemeinerung des zweiten Nevanlinnaschen Hauptsatzes.

This page was built for publication: An effective Roth's theorem for function fields