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    Some Metric Theorems on Polynomials


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    O'Donnell, Hugh (2013) Some Metric Theorems on Polynomials. PhD thesis, National University of Ireland Maynooth.

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    Abstract

    The theory of metric Diophantine approximation can be studied from many di�erent perspectives. The problems studied in this thesis all concern questions on integer polynomials. Simultaneous rational approximation to integer polynomials is studied in the p-adic metric. Next, the nature of the closest root to an argument of a leading polynomial is studied in the Euclidian and p-adic metrics. Finally the nature of regular systems for third degree polynomials is investigated.
    Item Type: Thesis (PhD)
    Keywords: metric theorems; polynomials;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 4383
    Depositing User: IR eTheses
    Date Deposited: 07 Jun 2013 09:07
    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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