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    Newton Polygons on p-adic Number Fields

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    Author
    Teller, Jacek
    Abstract
    This thesis offers a clear introduction to p-adic number fields, and the method of Newton polygons to approximate the size of roots of polynomials in the completion of the algebraic closure of p-adic number fields. Ostrowski's theorem is also proved herein. The thesis is intended to serve as an aperitif to further study in the area.  
    URI
    http://hdl.handle.net/10342/3848
    Subject
     Mathematics; Computer science; Physics; Fields; Hensel's lemma; Newton polygons; Ostrowski's theorem; Roots 
    Date
    2012
    Citation:
    APA:
    Teller, Jacek. (January 2012). Newton Polygons on p-adic Number Fields (Master's Thesis, East Carolina University). Retrieved from the Scholarship. (http://hdl.handle.net/10342/3848.)

    Display/Hide MLA, Chicago and APA citation formats.

    MLA:
    Teller, Jacek. Newton Polygons on p-adic Number Fields. Master's Thesis. East Carolina University, January 2012. The Scholarship. http://hdl.handle.net/10342/3848. September 30, 2023.
    Chicago:
    Teller, Jacek, “Newton Polygons on p-adic Number Fields” (Master's Thesis., East Carolina University, January 2012).
    AMA:
    Teller, Jacek. Newton Polygons on p-adic Number Fields [Master's Thesis]. Greenville, NC: East Carolina University; January 2012.
    Collections
    • Master's Theses
    • Mathematics
    Publisher
    East Carolina University

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