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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
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: |
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| 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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