Integer points of analytic functions in a half-plane

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.

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Bibliographic Details
Published inProceedings of the Edinburgh Mathematical Society Vol. 52; no. 3; pp. 619 - 630
Main Authors Fletcher, Alastair N., Langley, J. K.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.10.2009
Subjects
analytic functions
Density
Geometry
half-plane
integer values
Mathematics
Polynomials
Primary 30D20
Secondary 30D35
analytic functions
Primary 30D20
integer values
Secondary 30D35
half-plane
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Summary: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.
Bibliography:istex:569208677BA28B816A26FD04BBBCE5184DC204B7
PII:S0013091507001265
ark:/67375/6GQ-G044682N-B
ArticleID:00126
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091507001265