Mahler, Kurt

Reprint: Über Beziehungen zwischen der Zahl \(e\) und Liouvilleschen Zahlen (1930)

Doc. Math. Extra Vol. Mahler Selecta, 275-279 (2019)
DOI: 10.25537/dm.2019.SB-275-279

Summary

In this paper, for any Liouville number \(u\), it is shown that \(e\) and \(u\) are algebraically independent, where \(e\) is Euler's number -- the base of the natural logarithm. \par Reprint of the author's paper [Math. Z. 31, 729--732 (1930; JFM 56.0188.01)].

Mathematics Subject Classification

11-03, 11J85

Keywords/Phrases

algebraic independence, number \(e\), Liouville numbers

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