A simple example of a transcendental entire function that together with all its derivatives assumes algebraic values at all algebraic points
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- by Daihachiro Sato PDF
- Proc. Amer. Math. Soc. 14 (1963), 996 Request permission
References
- J. W. Green, Functions which assume rational values at rational points, Duke Math. J. 5 (1939), no. 1, 164–171. MR 1546115, DOI 10.1215/S0012-7094-39-00516-8
- Theodor Schneider, Ein Satz über ganzwertige Funktionen als Prinzip für Transzendenzbeweise, Math. Ann. 121 (1949), 131–140 (German). MR 31498, DOI 10.1007/BF01329621
Additional Information
- © Copyright 1963 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 14 (1963), 996
- MSC: Primary 30.55
- DOI: https://doi.org/10.1090/S0002-9939-1963-0155975-2
- MathSciNet review: 0155975