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

  • Kurt Mahler

Abstract

In this paper, for any Liouville number uu, it is shown that ee and uu are algebraically independent, where ee 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)].