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Transactions of the American Mathematical Society

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A class of integer valued entire functions


Author: Afton H. Cayford
Journal: Trans. Amer. Math. Soc. 141 (1969), 415-432
MSC: Primary 30.57; Secondary 10.00
DOI: https://doi.org/10.1090/S0002-9947-1969-0244486-1
MathSciNet review: 0244486
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  • Theodor Schneider, Ein Satz über ganzwertige Funktionen als Prinzip für Transzendenzbeweise, Math. Ann. 121 (1949), 131–140 (German). MR 31498, DOI https://doi.org/10.1007/BF01329621
  • G. Pólya, Über die kleinsten ganzen Funktionen deren sämtliche Derivierte im Punkte $z = 0$ ganzzahlig sind, Tôhoku Math. J. 19 (1921), 65. S. Kakeya, Notes on the maximum modulus of a function, Tôhoku Math. J. 10 (1916), 68. E. C. Titchmarsh, The theory of functions, Oxford Univ. Press, New York, 1939.
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  • William Judson LeVeque, Topics in number theory. Vols. 1 and 2, Addison-Wesley Publishing Co., Inc., Reading, Mass., 1956. MR 0080682
  • R. Creighton Buck, Integral valued entire functions, Duke Math. J. 15 (1948), 879–891. MR 29984

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Article copyright: © Copyright 1969 American Mathematical Society