Vol. 15, No. 8, 2021

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Roth's theorem over arithmetic function fields

Paul Vojta

Vol. 15 (2021), No. 8, 1943–2017
Abstract

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

Keywords
Diophantine approximation, arithmetic function field, Roth's theorem, Thue–Siegel method
Mathematical Subject Classification 2010
Primary: 11J68
Secondary: 11J97, 14G40
Milestones
Received: 24 November 2019
Revised: 3 December 2020
Accepted: 17 January 2021
Published: 10 November 2021
Authors
Paul Vojta
Department of Mathematics
University of California Berkeley
Berkeley, CA
United States