Arithmetic and dynamical systems

Royals, Robert (2015) Arithmetic and dynamical systems. Doctoral thesis, University of East Anglia.

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Abstract

In this thesis we look at a number of topics in the area of the interaction between dynamical systems and number theory. We look at two diophantine approximation problems in local �fields of positive characteristic, one a generalisation of the Khintchine{Groshev
theorem, another a central limit theorem. We also prove a P�olya{Carlson dichotomy result for a large class of adelicly perturbed rational functions. In particular we prove that for a finite set of primes S that the power series f(z) generated by the Fibonacci series with all primes in S removed has a natural boundary.

Item Type:	Thesis (Doctoral)
Faculty \ School:	Faculty of Science > School of Mathematics
Depositing User:	Jackie Webb
Date Deposited:	18 Feb 2016 16:15
Last Modified:	18 Feb 2016 16:15
URI:	https://ueaeprints.uea.ac.uk/id/eprint/57191
DOI:

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