Schmidt, Wolfgang M. Simultaneous approximation and algebraic independence of numbers. (English) Zbl 0109.03501 Bull. Am. Math. Soc. 68, 475-478 (1962); remark ibid. 69, 255 (1963). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 Documents MSC: 11J13 Simultaneous homogeneous approximation, linear forms 11J85 Algebraic independence; Gel’fond’s method Keywords:Simultaneous approximation; algebraic independence of numbers PDFBibTeX XMLCite \textit{W. M. Schmidt}, Bull. Am. Math. Soc. 68, 475--478 (1962; Zbl 0109.03501) Full Text: DOI 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 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.