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integer-valued functions

Proceedings of the Edinburgh Mathematical Society (1)

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Integer Points of Meromorphic Functions
Matthew Buck
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 57 / Issue 2 / June 2014

Published online by Cambridge University Press:

21 August 2013, pp. 367-376
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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.