Campus Only Senior Thesis
Bachelor of Arts
© 2013 Julia J. Ogburn
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.
Ogburn, Julia J., "Roots of Polynomials: Developing p-adic Numbers and Drawing Newton Polygons" (2013). Scripps Senior Theses. 295.
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