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.)

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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 19, 2020.
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.
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Publisher
East Carolina University