Newton polygons are constructions over the p-adic numbers used to find information about the roots of a polynomial or power series. In this the- sis, we will first investigate the construction of the field Qp on the p-adic numbers. Then, we will use theorems such as Eisenstein’s Irreducibility Criterion, Newton’s Method, Hensel’s Lemma, and Strassman’s Theorem to build and justify Newton polygons.
| Identifer | oai:union.ndltd.org:CLAREMONT/oai:http://scholarship.claremont.edu/do/oai/:scripps_theses-1175 |
| Date | 15 March 2013 |
| Creators | Ogburn, Julia J |
| Publisher | Scholarship @ Claremont |
| Source Sets | Claremont Colleges |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | Scripps Senior Theses |
| Rights | © 2013 Julia J. Ogburn |
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