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    A Khintchine-type version of Schmidt's theorem for planar curves


    Bernik, Vasili and Dickinson, Detta and Dodson, M. M. (1998) A Khintchine-type version of Schmidt's theorem for planar curves. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 454. pp. 179-185. ISSN 0080-4630

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    Abstract

    An analogue of the convergence part of the Khintchine{Groshev theorem is proved for planar curves obeying certain curvature conditions.

    Item Type: Article
    Keywords: diophantine approximation; extremal planar curves; Khintchine's theorem;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 10125
    Identification Number: https://doi.org/10.1098/rspa.1998.0153
    Depositing User: Dr. Detta Dickinson
    Date Deposited: 19 Oct 2018 14:17
    Journal or Publication Title: Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences
    Publisher: The Royal Society
    Refereed: Yes
    URI:
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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