Newton Polygons on p-adic Number Fields

ECU Author/Contributor (non-ECU co-authors, if there are any, appear on document)

Jacek Teller (Creator)

Institution

East Carolina University (ECU )

Web Site: http://www.ecu.edu/lib/

Advisor

Zachary Robinson

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. 

Additional Information

Publication

Thesis

Date: 2012

Keywords

Mathematics, Computer science, Physics, fields, Hensel, Newton Polygons, Ostrowski, roots

Subjects

p-adic numbers

Newton diagrams

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