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Algébricité des fonctions méromorphes prenant certaines valeurs algébriques. (French) Zbl 0219.13006

MSC:

13A18 Valuations and their generalizations for commutative rings
12J10 Valued fields
13B30 Rings of fractions and localization for commutative rings
13G05 Integral domains
30D30 Meromorphic functions of one complex variable (general theory)
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References:

[1] BATEMAN (P. T.) and DUQUETTE (A. L.) . - The analogue of the Pisot-Vijayaraghavan numbers in fields of formal power series , Illinois J. of Math., t. 6, 1962 , p. 594-606. Article | MR 26 #2424 | Zbl 0105.02801 · Zbl 0105.02801
[2] BERTRANDIAS (Françoise) . - Ensembles remarquables d’adèles algébriques , Bull. Soc. math. France, Mémoire n^\circ 4, 1965 , 98 pages (Thèse Sc. math., Paris, 1965 ). Numdam | Zbl 0178.38201 · Zbl 0178.38201
[3] DRESS (François) . - Familles de séries formelles et ensemble de nombres algébriques (Thèse Sc. math., Paris) [à paraître]. Numdam | Zbl 0199.08205 · Zbl 0199.08205
[4] GRANDET-HUGOT (Marthe) . - Une propriété des nombres de Pisot dans un corps de séries formelles , C. R. Acad. Sc. Paris, t. 265, 1967 , série A, p. 39-41. MR 37 #4028 | Zbl 0204.06901 · Zbl 0204.06901
[5] GRANDET-HUGOT (Marthe) . - Nombre de Pisot dans un corps de séries formelles , Séminaire Delange-Pisot-Poitou : Théorie des nombres, 8e année, 1966 - 1967 , n^\circ 4, 12 pages. Numdam | Zbl 0164.05801 · Zbl 0164.05801
[6] PISOT (Charles) . - La répartition modulo 1 et les nombres algébriques , Ann. Scuola norm. sup. Pisa, série 2, t. 7, 1938 , p. 205-248 (Thèse Sc. math., Paris, 1938 ). Numdam | Zbl 0019.00703 | JFM 64.0994.01 · Zbl 0019.00703
[7] SALEM (Raphaël) . - A remarkable class of algebraic integers , proof of a conjecture of Vijayaraghavan, Duke math. J., t. 11, 1944 , p. 103-108. Article | Zbl 0063.06657 · Zbl 0063.06657 · doi:10.1215/S0012-7094-44-01111-7
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