Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2010, Number 6, Pages 24–27 (Mi vmumm825)  
Mathematics

Algebraic independence over $\mathbb{Q}_p$ of values of analytic functions at points from $\mathbb{C}_p$

O. Yu. Bazhenovaa, V. G. Chirskiib

a Moscow State Pedagogical University
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (290 kB)
Abstract: The paper formulates general theorems on the algebraic independence over $\mathbb{Q}_p$ of the values of analytic functions at points from $\mathbb{C}_p$ and their applications to particular examples.
Key words: transcendence, $p$-adic numbers.
Received: 26.02.2010
Bibliographic databases:
Document Type: Article
UDC: 511.36
Language: Russian
Citation: O. Yu. Bazhenova, V. G. Chirskii, “Algebraic independence over $\mathbb{Q}_p$ of values of analytic functions at points from $\mathbb{C}_p$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 6, 24–27
Citation in format AMSBIB
\Bibitem{BazChi10}
\by O.~Yu.~Bazhenova, V.~G.~Chirskii
\paper Algebraic independence over $\mathbb{Q}_p$ of values of analytic functions at points from $\mathbb{C}_p$
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2010
\issue 6
\pages 24--27
\mathnet{http://mi.mathnet.ru/vmumm825}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2814986}
\zmath{https://zbmath.org/?q=an:1304.11134}
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