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Propriétés arithmétiques des fonctions entières. (French) Zbl 0466.30020


MSC:

30D15 Special classes of entire functions of one complex variable and growth estimates
11R04 Algebraic numbers; rings of algebraic integers
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References:

[1] FUKASAWA (S.) . - Uber ganze ganzwertige Funktionen ; Tohuku Math. J., vol. 27, 1926 . JFM 52.0318.01 · JFM 52.0318.01
[2] GEL’FOND (A. O.) . - Sur les propriétés arithmétiques des fonctions entières , Tohuku Math. J., vol. 30, 1929 , p. 280-285. JFM 55.0116.01 · JFM 55.0116.01
[3] HARDY (G. H.) and WRIGHT (E. M.) . - An introduction to the theory of numbers , Clarendon Press, Oxford, 1954 . MR 16,673c | Zbl 0058.03301 · Zbl 0058.03301
[4] PISOT (C.) . - Sur les fonctions arithmétiques analytiques à croissance exponentielle , C. R. Acad. Sc. Paris, t. 222, 1946 , p. 988-990. MR 8,23d | Zbl 0060.21501 · Zbl 0060.21501
[5] PRACHAR (K.) . - Primzahlverteilung , Springer-Verlag, Berlin, 1957 . MR 19,393b | Zbl 0080.25901 · Zbl 0080.25901
[6] WALDSCHMIDT (M.) . - Polyà Theorem by Schneider’s method , Acta Math. Acad. Sc. Hung., vol. 31, 1978 , p. 21-25. MR 58 #5542 | Zbl 0381.10029 · Zbl 0381.10029
[7] ARONSZAJN (N.) . - Sur les décompositions des fonctions analytiques uniformes et sur leurs applications , Acta Math., vol. 65, 1935 , p. 1-150. Zbl 0012.26204 | JFM 61.0303.01 · Zbl 0012.26204
[8] VALIRON (G.) . - Méthode de sommation et directions de Bord , Ann. Sc. Norm. Pisa, série II, vol. II, 1933 , p. 355-380. Numdam | JFM 59.1035.02 · JFM 59.1035.02
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