Spelling suggestions: "subject:"quintile polynomials"" "subject:"quintiles polynomials""
1 |
Roots of Polynomials: Developing p-adic Numbers and Drawing Newton PolygonsOgburn, Julia J 15 March 2013 (has links)
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.
|
Page generated in 0.0547 seconds