Geodesic
On a certain class of transcendental numbers
Matematičeskie zametki, Tome 4 (1968) no. 3, pp. 341-348 
A. A. Shmelev. On a certain class of transcendental numbers. Matematičeskie zametki, Tome 4 (1968) no. 3, pp. 341-348. http://geodesic.mathdoc.fr/item/MZM_1968_4_3_a9/
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     author = {A. A. Shmelev},
     title = {On a certain class of transcendental numbers},
     journal = {Matemati\v{c}eskie zametki},
     pages = {341--348},
     year = {1968},
     volume = {4},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_3_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We show that the numbers $e^\alpha a^\beta$ are transcendental, where $a\ne0$; $1$, is irrational, $\alpha\ne0$, and $\beta$ is algebraic.