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integer values

Proceedings of the Edinburgh Mathematical Society (1)

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Integer points of analytic functions in a half-plane
Part of
- Entire and meromorphic functions, and related topics
Alastair N. Fletcher, J. K. Langley
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 52 / Issue 3 / October 2009

Published online by Cambridge University Press:

23 September 2009, pp. 619-630
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It is shown that if f is an analytic function of sufficiently small exponential type in the right half-plane, which takes integer values on a subset of the positive integers having positive lower density, then f is a polynomial.