Geodesic
On a~strengthening of~certain theorems of~Gelfond on the integer-valuedness of~analytic functions
Izvestiya. Mathematics , Tome 84 (2020) no. 1, pp. 186-207

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We consider entire functions of finite order (greater than or equal to 1) which take rational integer values at the points of a rather general discrete set. We show that under certain conditions all such functions can only be exponential polynomials of a special form.
Keywords: entire functions of finite order, discrete set, exponential polynomials. 
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     author = {A. Y. Yanchenko},
     title = {On a~strengthening of~certain theorems {of~Gelfond} on the integer-valuedness of~analytic functions},
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A. Y. Yanchenko. On a~strengthening of~certain theorems of~Gelfond on the integer-valuedness of~analytic functions. Izvestiya. Mathematics , Tome 84 (2020) no. 1, pp. 186-207. http://geodesic.mathdoc.fr/item/IM2_2020_84_1_a6/