Roth’s theorem over arithmetic function fields

Recent Issues

The Journal

ISSN: 1944-7833 (e-only)

ISSN: 1937-0652 (print)

Vol. 15 (2021), No. 8, 1943–2017

DOI: 10.2140/ant.2021.15.1943

Roth’s theorem is extended to finitely generated field extensions of $ℚ$ , using Moriwaki’s theory of heights.

Diophantine approximation, arithmetic function field, Roth's theorem, Thue–Siegel method

Primary: 11J68

Secondary: 11J97, 14G40

Received: 24 November 2019

Revised: 3 December 2020

Accepted: 17 January 2021

Published: 10 November 2021

Paul Vojta
Department of Mathematics University of California Berkeley Berkeley, CA United States