Diophantine approximation on planar curves: the convergence theory

S. Velani; Robert Vaughan FRS

doi:10.1007/s00222-006-0509-9

Diophantine approximation on planar curves: the convergence theory

S. Velani, Robert Vaughan FRS

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	103-124
Number of pages	21
Journal	Inventiones Mathematicae
Volume	166
Issue number	1
DOIs	https://doi.org/10.1007/s00222-006-0509-9
Publication status	Published - Oct 2006

Access to Document

10.1007/s00222-006-0509-9

http://dx.doi.org/10.1007/s00222-006-0509-9

Cite this

@article{880d915294374bd183c5f5f0b630f676,

title = "Diophantine approximation on planar curves: the convergence theory",

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.",

author = "S. Velani and {Vaughan FRS}, Robert",

year = "2006",

month = oct,

doi = "10.1007/s00222-006-0509-9",

language = "English",

volume = "166",

pages = "103--124",

journal = "Inventiones Mathematicae",

issn = "1432-1297",

publisher = "Springer",

number = "1",

}

TY - JOUR

T1 - Diophantine approximation on planar curves: the convergence theory

AU - Velani, S.

AU - Vaughan FRS, Robert

PY - 2006/10

Y1 - 2006/10

N2 - 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.

AB - 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.

U2 - 10.1007/s00222-006-0509-9

DO - 10.1007/s00222-006-0509-9

M3 - Article

SN - 1432-1297

VL - 166

SP - 103

EP - 124

JO - Inventiones Mathematicae

JF - Inventiones Mathematicae

IS - 1

ER -