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Advisor | Robinson, Zachary | en_US |
Author | Teller, Jacek | en_US |
Date Accessioned | 2012-05-20T15:21:01Z | |
Date Available | 2012-05-20T15:21:01Z | |
Date of Issue | 2012 | en_US |
Identifier (URI) | http://hdl.handle.net/10342/3848 | |
Description | 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. | en_US |
Extent | 49 p. | en_US |
Format Medium | dissertations, academic | en_US |
Language | en_US | |
Publisher | East Carolina University | en_US |
Subject | Mathematics | en_US |
Subject | Computer science | en_US |
Subject | Physics | en_US |
Subject | Fields | en_US |
Subject | Hensel's lemma | en_US |
Subject | Newton polygons | en_US |
Subject | Ostrowski's theorem | en_US |
Subject | Roots | en_US |
Library of Congress Subject Headings | P-adic numbers | |
Library of Congress Subject Headings | Newton diagrams | |
Title | Newton Polygons on p-adic Number Fields | en_US |
Type | Master's Thesis | en_US |
Department | Mathematics | en_US |
Degree | M.S. | en_US |