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Diophantine approximation on planar curves: the convergence theory

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JournalInventiones Mathematicae
DatePublished - Oct 2006
Issue number1
Volume166
Number of pages21
Pages (from-to)103-124
Original languageEnglish

Abstract

The convergence theory for the set of simultaneously psi-approximable points lying on a planar curve is established. Our results complement the divergence theory developed in [1] and thereby completes the general metric theory for planar curves.

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