Reprint: On relations between the number $e$ and Liouville numbers (1930)

Abstract

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.

Reprint of the author's paper [Math. Z. 31, 729--732 (1930; JFM 56.0188.01)].