Algebraic independence of elements from Cp over Qp,статья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:Until now there are only very few contributions to the problem in the title, probably because it has no analogue in classical transcendence theory, C being a quadratic extension of R . The main aim of this article is to prove a new criterion giving sufficient conditions for the algebraic independence of finitely many elements from Cp over Qp , if these elements are defined by certain p-adic series. Some applications of the criterion are also presented.