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National University of Ireland Maynooth

Some Metric Theorems on Polynomials

Abstract

dc:description.abstract

The theory of metric Diophantine approximation can be studied from many di�erent 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.

Degree

thesis:*
Name dc:type.qualificationname
phd
Level dc:type.qualificationlevel
doctoral
Grantor dc:publisher.institution
National University of Ireland Maynooth
Year dc:date.issued
2013

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • O'Donnell, Hugh

Subjects

dc:subject × 1

Rights

Language dc:language
en

Chain of custody

source
Harvested from
National University of Ireland - Maynooth
Base URL
mural.maynoothuniversity.ie/cgi/oai2
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

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