Diagonal diophantine approximation in Q and the Duffin-Schaeffer theorem in number fields

The central aim of this thesis is to prove various Diophantine approximation results which quantify cases of the weak approximation theorem. We take finitely many different completions of a global field , take their direct product, and approximate elements of this space by elements of the global fie...

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Bibliographic Details
Main Author: Palmer, Matthew Iain
Published: University of Bristol 2016
Subjects:
512
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.702165