Arithmetic problems around the ABC conjecture and connections with logic

The main theme in this thesis is the ABC conjecture. We prove some partial results towards it and we find new applications of this conjecture, mainly in the context of B\"uchi's n squares problem (which has consequences in logic related to Hilbert's tenth problem) and squarefree value...

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Bibliographic Details
Main Author: Pasten, Hector
Other Authors: Queen's University (Kingston, Ont.). Theses (Queen's University (Kingston, Ont.))
Language:en
en
Published: 2014
Subjects:
Online Access:http://hdl.handle.net/1974/12123