Newton Polygons on p-adic Number Fields
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Date
2012
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Authors
Teller, Jacek
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Publisher
East Carolina University
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.