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, Number 6,Pages 24

Mathematics

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

O. Yu. Bazhenova^a, V. G. Chirskii^b

^a Moscow State Pedagogical University
^b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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.

UDC: 511.36

Received: 26.02.2010