Integral orbits over function fields

DOI10.1142/S1793042114500742zbMath1378.11079OpenAlexW2120394917MaRDI QIDQ2931758

Chia-Liang Sun, Julie Tzu-Yueh Wang, Hsiu-Lien Huang

Publication date: 27 November 2014

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

Full work available at URL: https://doi.org/10.1142/s1793042114500742

zbMATH Keywords

function fieldsheightintegral orbits

Mathematics Subject Classification ID

Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Higher degree equations; Fermat's equation (11D41) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (3)

On effective \(\epsilon\)-integrality in orbits of rational maps over function fields and multiplicative dependence ⋮ Quasi-adelic measures and equidistribution on ⋮ Isotriviality, integral points, and primitive primes in orbits in characteristic \(p\)

Cites Work

• A quantitative estimate for quasiintegral points in orbits
• Integer points, diophantine approximation, and iteration of rational maps
• An effective Roth's theorem for function fields
• An effective Schmidt's subspace theorem over function fields
• Nevanlinna theory and iteration of rational maps
• Rational functions with a polynomial iterate
• The truncated second main theorem of function fields
• A HASSE PRINCIPLE FOR PERIODIC POINTS
• Algebraic Function Fields and Codes

This page was built for publication: Integral orbits over function fields