Geodesic
Algebraic independence over $\mathbb{Q}_p$ of the values of analytic functions at points from $\mathbb{C}_p$
Čebyševskij sbornik, Tome 11 (2010) no. 1, pp. 15-19

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The paper establishea certain general theorems about the algebraic independence over $\mathbb{Q}_p$ of the valnes of analytic functions at points from $\mathbb{C}_p$.
Keywords: transcendence, $p$-adic numbers. 
@article{CHEB_2010_11_1_a2,
     author = {O. Yu. Bazhenova},
     title = {Algebraic independence over $\mathbb{Q}_p$ of the values of analytic functions at points from $\mathbb{C}_p$},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {15--19},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2010_11_1_a2/}
}
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O. Yu. Bazhenova. Algebraic independence over $\mathbb{Q}_p$ of the values of analytic functions at points from $\mathbb{C}_p$. Čebyševskij sbornik, Tome 11 (2010) no. 1, pp. 15-19. http://geodesic.mathdoc.fr/item/CHEB_2010_11_1_a2/