Glasnik matematički, Vol. 51 No. 2, 2016.
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
Publication date:
3.12.2016.
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