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On a certain class of transcendental numbers

Authors :
A. A. Shmelev
Source :
Mathematical Notes of the Academy of Sciences of the USSR. 4:696-700
Publication Year :
1968
Publisher :
Springer Science and Business Media LLC, 1968.

Abstract

We show that the numbers eαaβ are transcendental, where a ≠ 0; 1, is irrational, α≠0, andβ is algebraic.

Details

ISSN :
15738876 and 00014346
Volume :
4
Database :
OpenAIRE
Journal :
Mathematical Notes of the Academy of Sciences of the USSR
Accession number :
edsair.doi...........59d6c26ace2fd26fdc43c19825678432
Full Text :
https://doi.org/10.1007/bf01116450