Original scientific paper

https://doi.org/10.3336/gm.51.2.04

Some applications of the p-adic analytic subgroup theorem

Clemens Fuchs orcid.org/0000-0002-0304-0775 ; Department of Mathematics, University of Salzburg, Hellbrunnerstr. 34, 5020 Salzburg, Austria
Duc Hiep Pham ; University of Education, Vietnam National University, Hanoi, 144 Xuan Thuy, Cau Giay, Hanoi, Vietnam

Abstract

We use a p-adic analogue of the analytic subgroup theorem of Wüstholz to deduce the transcendence and linear independence of some new classes of p-adic numbers. In particular we give p-adic analogues of results of Wüstholz contained in [20] and generalizations of results obtained by Bertrand in [3, 4].

Keywords

Commutative algebraic groups; transcendence theory; p-adic numbers

Hrčak ID:

170040

URI

https://hrcak.srce.hr/170040

Publication date:

3.12.2016.

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