Arithmetic and dynamical systems

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

[img]
Preview
PDF
Download (508kB) | Preview

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:

Actions (login required)

View Item View Item