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Browsing by Author "Chen, Shu-Yi"

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    A higher-dimensional Kurzweil theorem for formal Laurent series over finite fields
    (2012-11-01)
    Chen, Shu-Yi
    ;
    Fuchs, Michael
    ;
    應用數學系
    ;
    Department of Applied Mathematics
    In a recent paper, Kim and Nakada proved an analogue of Kurzweil's theorem for inhomogeneous Diophantine approximation of formal Laurent series over finite fields. Their proof used continued fraction theory and thus cannot be easily extended to simultaneous Diophantine approximation. In this note, we give another proof which works for simultaneous Diophantine approximation as well. (C) 2012 Elsevier Inc. All rights reserved.