Diophantine approximation on planar curves: the convergence theory |
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| Authors: | RC Vaughan S Velani |
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| Institution: | (1) Department of Mathematics, McAllister Building, Pennsylvania State University, University Park, PA 16802-6401, USA;(2) Department of Mathematics, University of York, Heslington, York, YO10 5DD, UK |
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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.
Dedicated to Walter Hayman and Klaus Roth on their eightieth birthdays
Mathematics Subject Classification (2000) 11J83; 11J13, 11K60 |
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