Arithmetic Properties of Values of Lacunary Series

A lacunary series is a Taylor series with large gaps between its non-zero coefficients. In this thesis we exploit these gaps to obtain results of linear independence of values of lacunary series at integer points. As well, we will study different methods found in Diophantine approximation which we u...

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Bibliographic Details
Main Author: Bradshaw, Ryan
Language:en
Published: 2013
Subjects:
Online Access:http://hdl.handle.net/10393/26108