Worlds of David Darling
Encyclopedia of Science
Home > Encyclopedia of Science

Gelfond's theorem

Also known as the Gelfond-Schneider theorem: ab is a transcendental number if (1) a is an algebraic number and not equal to either 0 or 1, and (2) b is algebraic and also an irrational number. Gelfond's theorem enables the seventh of David Hilbert's famous problems to be solved.

Related category