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Matematicheskie Zametki, 1968, Volume 4, Issue 3, Pages 341–348 (Mi mzm9454)  
On a certain class of transcendental numbers

A. A. Shmelev
Full-text PDF (731 kB)
Abstract: We show that the numbers $e^\alpha a^\beta$ are transcendental, where $a\ne0$; $1$, is irrational, $\alpha\ne0$, and $\beta$ is algebraic.
Received: 04.01.1968
English version:
Mathematical Notes, 1968, Volume 4, Issue 3, Pages 696–700
DOI: https://doi.org/10.1007/BF01116450
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: A. A. Shmelev, “On a certain class of transcendental numbers”, Mat. Zametki, 4:3 (1968), 341–348; Math. Notes, 4:3 (1968), 696–700
Citation in format AMSBIB
\Bibitem{Shm68}
\by A.~A.~Shmelev
\paper On a certain class of transcendental numbers
\jour Mat. Zametki
\yr 1968
\vol 4
\issue 3
\pages 341--348
\mathnet{http://mi.mathnet.ru/mzm9454}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=232737}
\zmath{https://zbmath.org/?q=an:0164.35401}
\transl
\jour Math. Notes
\yr 1968
\vol 4
\issue 3
\pages 696--700
\crossref{https://doi.org/10.1007/BF01116450}
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