Abstracts of papers

1935 Bulletin of the American Mathematical Society  
Gelfond and Schneider have proved, independently, that in general co a is transcendental where both co and a are algebraic numbers. By simple generalizations of Schneider's proof we obtain results such as the following: if co is transcendental, 0i and 0 2 linearly independent non-rational algebraic numbers, one of co 01 , co 02 is transcendental.
doi:10.1090/s0002-9904-1935-06097-5 fatcat:u5xfom6ihba4vm4632i75ay24e