Abstract:
Several generalizations of Gelfond's and Waldschmidt's theorems are obtained, which generalize in their turn Pólya's well-known result on integer-valued entire functions.
Bibliography: 19 titles.
Keywords:
entire function, integer-valued function, finite extension, Newton interpolation series.
Citation:
I. P. Rochev, “A generalization of Gelfond's and Waldschmidt's theorems on integer-valued entire functions”, Sb. Math., 202:8 (2011), 1207–1229