The S-unit equation over function fields

DOI10.1017/S0305004100061235zbMath0533.10013OpenAlexW2166419738MaRDI QIDQ3315579

Joseph H. Silverman

Publication date: 1984

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100061235

zbMATH Keywords

Riemann-Hurwitz formulaseparable degreeS-unit equation over function fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Higher degree equations; Fermat's equation (11D41) (p)-adic and power series fields (11D88) Diophantine equations (11D99)

Related Items (17)

The generalized Catalan equation in positive characteristic ⋮ The ABC theorem for higher-dimensional function fields ⋮ On some extensions of the Ailon-Rudnick theorem ⋮ The canonical height and integral points on elliptic curves ⋮ On the Skolem problem and some related questions for parametric families of linear recurrence sequences ⋮ On multiplicative independence of rational function iterates ⋮ \(ABC\) implies a Zsigmondy principle for ramification ⋮ On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations ⋮ Functional graphs of polynomials over finite fields ⋮ A Derivation of the Infinitude of Primes ⋮ The arithmetic of consecutive polynomial sequences over finite fields ⋮ Portraits of preperiodic points for rational maps ⋮ Preperiodic portraits for unicritical polynomials over a rational function field ⋮ The \(abc\)-theorem, Davenport's inequality and elliptic surfaces ⋮ Computing generators of the tame kernel of a global function field ⋮ ABC implies there are infinitely many non-Fibonacci-Wieferich primes ⋮ Miyanishi's characterization of the affine 3-space does not hold in higher dimensions

This page was built for publication: The S-unit equation over function fields