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Simultaneous Diophantine approximation on the circle and Hausdorff dimension

Published online by Cambridge University Press:  18 May 2001

H. DICKINSON  and
M. M. DODSON
H. DICKINSON
Affiliation:
Department of Mathematics, University of York, York YO10 5DD.
M. M. DODSON
Affiliation:
Department of Mathematics, University of York, York YO10 5DD.
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Abstract

The functional relations between the coordinates of points on a manifold make the study of Diophantine approximation on manifolds much harder than the classical theory in which the variables are independent. Nevertheless there has been considerable progress in the metric theory of Diophantine approximation on smooth manifolds. To describe this, some notation and terminology are needed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 130 , Issue 3 , May 2001 , pp. 515 - 522
Copyright
2001 Cambridge Philosophical Society

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