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THE ABC CONJECTURE IMPLIES ROTH’S THEOREM AND MORDELL’S CONJECTURE

By Machiel Van Frankenhuysen

Abstract

Abstract. We present in a unified way proofs of Roth’s theorem and an effective version of Mordell’s conjecture, using the ABC conjecture. We also show how certain stronger forms of the ABC conjecture give information about the type of approximation to an algebraic number. 1

Year: 2014
OAI identifier: oai:CiteSeerX.psu:10.1.1.416.5800
Provided by: CiteSeerX
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