Newton Polygons on p-adic Number Fields

dc.contributor.advisor	Robinson, Zachary	en_US
dc.contributor.author	Teller, Jacek	en_US
dc.contributor.department	Mathematics	en_US
dc.date.accessioned	2012-05-20T15:21:01Z
dc.date.available	2012-05-20T15:21:01Z
dc.date.issued	2012	en_US
dc.description.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.	en_US
dc.description.degree	M.S.	en_US
dc.format.extent	49 p.	en_US
dc.format.medium	dissertations, academic	en_US
dc.identifier.uri	http://hdl.handle.net/10342/3848
dc.language.iso		en_US
dc.publisher	East Carolina University	en_US
dc.subject	Mathematics	en_US
dc.subject	Computer science	en_US
dc.subject	Physics	en_US
dc.subject	Fields	en_US
dc.subject	Hensel's lemma	en_US
dc.subject	Newton polygons	en_US
dc.subject	Ostrowski's theorem	en_US
dc.subject	Roots	en_US
dc.subject.lcsh	P-adic numbers
dc.subject.lcsh	Newton diagrams
dc.title	Newton Polygons on p-adic Number Fields	en_US
dc.type	Master's Thesis	en_US

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