On a strengthening of certain theorems of Gelfond on the integer-valuedness of analytic functions
- Authors: Yanchenko A.Y.1
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Affiliations:
- National Research University "Moscow Power Engineering Institute"
- Issue: Vol 84, No 1 (2020)
- Pages: 207-230
- Section: Articles
- URL: https://bakhtiniada.ru/1607-0046/article/view/133809
- DOI: https://doi.org/10.4213/im8686
- ID: 133809
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Abstract
We consider entire functions of finite order (greater than or equal to 1) which take rational integer values atthe points of a rather general discrete set. We show that under certain conditions all such functionscan only be exponential polynomials of a special form.
About the authors
Aleksandr Yakovlevich Yanchenko
National Research University "Moscow Power Engineering Institute"Candidate of physico-mathematical sciences, Associate professor
References
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- S. Lang, Introduction to transcendental numbers, Addison-Wesley Publishing Co., Reading, MA–London–Don Mills, ON, 1966, vi+105 pp.
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