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Algebraic independence of certain gap series. (English) Zbl 0474.10029


MSC:

11J85 Algebraic independence; Gel’fond’s method
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[1] P. Bundschuh undF.-J. Wylegala, Über algebraische Unabhängigkeit bei gewissen nichtfortsetzbaren Potenzreihen. Arch. Math.34, 32-36 (1980). · Zbl 0414.10033
[2] P. L. Cijsouw andR. Tijdeman, On the transcendence of certain power series of algebraic numbers. Acta Arith.23, 301-305 (1973).
[3] A. Durand, Indépendance algébrique de nombres complexes et critère de transcendence. Comp. Math.35, 259-267 (1977). · Zbl 0372.10022
[4] Y. Z. Flicker, Algebraic independence by a method of Mahler. J. Austral. Math. Soc. (A)27. 173-188 (1979). · Zbl 0399.10035
[5] H. Kneser, Eine kontinuumsmächtige, algebraisch unabhängige Menge reeller Zahlen. Bull. Soc. Math. Belg.12, 23-27 (1960). · Zbl 0100.04002
[6] J. von Neumann, Ein System algebraisch unabhängiger Zahlen. Math. Ann.99, 134-141 (1928). · JFM 54.0096.02
[7] 0. Perron, Über mehrfach transzendente Erweiterungen des natürlichen Rationalitätsbereichs. S.-B. Bayer Akad. Wiss. H.2, 79-86 (1932). · JFM 58.0208.01
[8] W. M. Schmidt, Simultaneous approximation and algebraic independence of numbers. Bull. Amer. Math. Soc.68, 475-478 (1962). · Zbl 0109.03501
[9] M.Waldschmidt, Nombres transcendents. LNM 402, Berlin-Heidelberg-New York 1974. · Zbl 0302.10030
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