O'Donnell, Hugh (2013) Some Metric Theorems on Polynomials. PhD thesis, National University of Ireland Maynooth.
![Hugh_O'Donnell__PhD_Thesis_Final.pdf [thumbnail of Hugh_O'Donnell__PhD_Thesis_Final.pdf]](https://mural.maynoothuniversity.ie/style/images/fileicons/application_pdf.png)
Hugh_O'Donnell__PhD_Thesis_Final.pdf
Available under License Creative Commons Attribution Non-commercial Share Alike.
Download (532kB)
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.
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: | https://mural.maynoothuniversity.ie/id/eprint/4383 |
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 |
Repository Staff Only (login required)
Downloads
Downloads per month over past year