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Integer points of analytic functions in a half-plane

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Fletcher, Alastair and Langley, J. K. (2009) Integer points of analytic functions in a half-plane. Proceedings of the Edinburgh Mathematical Society, Vol.52 (No.3). pp. 619-630. doi:10.1017/S0013091507001265 ISSN 0013-0915 .

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Official URL: http://dx.doi.org/10.1017/S0013091507001265

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Abstract

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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Proceedings of the Edinburgh Mathematical Society
Publisher: Cambridge University Press
ISSN: 0013-0915
Official Date: October 2009
Dates:
DateEvent
October 2009Published
Volume: Vol.52
Number: No.3
Number of Pages: 12
Page Range: pp. 619-630
DOI: 10.1017/S0013091507001265
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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