On a certain class of transcendental numbers

We show that the numbers ea are transcendental, where a 0; 1, is irrational, 0, and is algebraic.After this paper was in press the author discovered that Baker (Mathematika, 14(1967), 220–228) proved the transcendental nature of the numbers ea ₁ ¹ ...a_ss where , ₁... are algebraic numbers, 0, and In a₁...,ln a_s, are linearly independent over the field of rationals. The arguments in our paper differ slightly from the arguments of Baker.Translated from Matematicheskie Zametki, Vol. 4, No. 3, pp. 341–348, September, 1968.