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Simultaneous approximation and algebraic independence of numbers. (English) Zbl 0109.03501

Bull. Am. Math. Soc. 68, 475-478 (1962); remark ibid. 69, 255 (1963).

MSC:

11J13 Simultaneous homogeneous approximation, linear forms
11J85 Algebraic independence; Gel’fond’s method
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References:

[1] J. Liouville, Sur les classes très etendus de quantites dont la valeur n’est algebriques, etc., C. R. Acad. Sci. Paris 18 (1844), 883-885, 910-911.
[2] K. Mahler, An application of Jensen’s formula to polynomials, Mathematika 7 (1960), 98 – 100. · Zbl 0099.25003 · doi:10.1112/S0025579300001637
[3] J. v. Neumann, Ein System algebraisch unabhängiger zahlen, Math. Ann. 99 (1928), no. 1, 134 – 141 (German). · JFM 54.0096.02 · doi:10.1007/BF01459089
[4] Theodor Schneider, Einführung in die transzendenten Zahlen, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1957 (German). · Zbl 0077.04703
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