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Simultaneous Diophantine Approximation on Polynomial Curves

Budarina, Natalia and Dickinson, Detta and Levesley, Jason (2010) Simultaneous Diophantine Approximation on Polynomial Curves. Mathematika (56). pp. 77-85. ISSN 0025-5793

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Abstract

The Hausdorff dimension and measure of the set of simultaneously ψ-approximable points lying on integer polynomial curves is obtained for sufficiently small error functions.

Additional Information:The definitive version of this article is available at http://journals.cambridge.org DOI: 10.1112/S0025579309000382
Keywords:Simultaneous; Diophantine Approximation; Polynomial Curves;
Subjects:Science & Engineering > Mathematics
ID Code:3595
Deposited By:Dr. Detta Dickinson
Deposited On:24 Apr 2012 16:28
Journal or Publication Title:Mathematika
Publisher:Cambridge University Press
Refereed:Yes
URL:http://www.lms.ac.uk/, http://www.cambridge.org

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