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Matematicheskie Zametki, 1976, Volume 20, Issue 2, Pages 195–202 (Mi mzm9981)  
Algebraic independence of values of exponential and elliptic functions

A. A. Shmelev

All-Union Scientific-Technical Information Center
Full-text PDF (765 kB)
Abstract: With the aid of Gel'fond's method [1, 2], which makes it possible to show that there exist at least two algebraically independent quantities among several values of the exponential function, and by using certain additional considerations, the author obtains a result concerning the algebraic independence of the values of the exponential and the elliptic functions.
Received: 02.07.1975
English version:
Mathematical Notes, 1976, Volume 20, Issue 2, Pages 669–673
DOI: https://doi.org/10.1007/BF01155871
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: A. A. Shmelev, “Algebraic independence of values of exponential and elliptic functions”, Mat. Zametki, 20:2 (1976), 195–202; Math. Notes, 20:2 (1976), 669–673
Citation in format AMSBIB
\Bibitem{Shm76}
\by A.~A.~Shmelev
\paper Algebraic independence of values of exponential and elliptic functions
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 2
\pages 195--202
\mathnet{http://mi.mathnet.ru/mzm9981}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=563118}
\zmath{https://zbmath.org/?q=an:0336.10025}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 2
\pages 669--673
\crossref{https://doi.org/10.1007/BF01155871}
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