O'Donnell, Hugh (2013) Some Metric Theorems on Polynomials. PhD thesis, National University of Ireland Maynooth.

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Abstract

The theory of metric Diophantine approximation can be studied from many dierent perspectives. The problems studied in this thesis all concern questions on integer polynomials. Simultaneous rational approximation to integer polynomials is studied in the p-adic metric. Next, the nature of the closest root to an argument of a leading polynomial is studied in the Euclidian and p-adic metrics. Finally the nature of regular systems for third degree polynomials is investigated.

Item Type:	Thesis (PhD)
Keywords:	metric theorems; polynomials;
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics
Item ID:	4383
Depositing User:	IR eTheses
Date Deposited:	07 Jun 2013 09:07
URI:
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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