Abstract
Roth’s theorem is extended to finitely generated field extensions of , using Moriwaki’s theory of heights.
Citation
Paul Vojta. "Roth’s Theorem over arithmetic function fields." Algebra Number Theory 15 (8) 1943 - 2017, 2021. https://doi.org/10.2140/ant.2021.15.1943
Information
Received: 24 November 2019; Revised: 3 December 2020; Accepted: 17 January 2021; Published: 2021
First available in Project Euclid: 11 March 2022
MathSciNet: MR4337458
zbMATH: 1487.11069
Digital Object Identifier: 10.2140/ant.2021.15.1943
Subjects:
Primary:
11J68
Secondary:
11J97
,
14G40
Keywords:
arithmetic function field
,
diophantine approximation
,
Roth’s theorem
,
Thue–Siegel method
Rights: Copyright © 2021 Mathematical Sciences Publishers
