Rauzy, Gérard Algébricité des fonctions méromorphes prenant certaines valeurs algébriques. (French) Zbl 0219.13006 Bull. Soc. Math. Fr. 96, 197-208 (1968). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page 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) PDFBibTeX XMLCite \textit{G. Rauzy}, Bull. Soc. Math. Fr. 96, 197--208 (1968; Zbl 0219.13006) Full Text: DOI Numdam EuDML 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.