Diophantine approximation on planar curves: The convergence theory

R. C. Vaughan; S. Velani

doi:10.1007/s00222-006-0509-9

Diophantine approximation on planar curves: The convergence theory

R. C. Vaughan, S. Velani

Mathematics

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66 Scopus citations

Abstract

The convergence theory for the set of simultaneously ψ-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.

Original language	English (US)
Pages (from-to)	103-124
Number of pages	22
Journal	Inventiones Mathematicae
Volume	166
Issue number	1
DOIs	https://doi.org/10.1007/s00222-006-0509-9
State	Published - Oct 2006

All Science Journal Classification (ASJC) codes

General Mathematics

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abstract = "The convergence theory for the set of simultaneously ψ-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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Diophantine approximation on planar curves: The convergence theory

Abstract

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