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Integer Points of Meromorphic Functions

Published online by Cambridge University Press:  21 August 2013

Matthew Buck
Matthew Buck*
Affiliation:
School of Mathematical Sciences, University Park, University of Nottingham, Nottingham NG7 2RD, UK, (pmxmmb@nottingham.ac.uk)
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Abstract

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Working from a half-plane result of Fletcher and Langley, we show that if f is an integer-valued function on some subset of the natural numbers of positive lower density and is meromorphic of sufficiently small exponential type in the plane, then f is a polynomial.

Keywords

integer-valued functionsmeromorphic functionsNevanlinna theoryvalue distributionPrimary 30D3030D35

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 57 , Issue 2 , June 2014, pp. 367 - 376
Copyright
Copyright © Edinburgh Mathematical Society 2014 

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