nLab
Gelfond's theorem

If aa is an algebraic number different from 00 or 11, and bb irrational, then a ba^b is transcendental (in particular irrational).

  • A. O. Gelfond?, Transcendental and algebraic numbers, Dover Publications, New York 1960, translation from 1st Russian edition by Leo F. Boron.

Created on January 14, 2011 15:16:31 by Zoran Škoda (161.53.130.104)