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

O. Yu. Bazhenova

Moscow State Pedagogical University

Abstract: 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.

UDC: 511.36

MSC: 11J85

Received: 13.05.2010

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