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Abstract
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Roth’s theorem is extended to finitely generated field extensions of
, using
Moriwaki’s theory of heights.
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Keywords
Diophantine approximation, arithmetic function field,
Roth's theorem, Thue–Siegel method
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Mathematical Subject Classification 2010
Primary: 11J68
Secondary: 11J97, 14G40
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Milestones
Received: 24 November 2019
Revised: 3 December 2020
Accepted: 17 January 2021
Published: 10 November 2021
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