Some applications of the p-adic analytic subgroup theorem

Authors: Clemens Fuchs, Phạm Đức Hiệp,

https://web.math.pmf.unizg.hr/glasnik/51.2/51(2)-04.pdf

Publisher, magazine: ,

Publication year: 2016

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Abstract

We use a p-adic analogue of the analytic subgroup theorem of W¨ustholz 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 W¨ustholz contained in [20] and generalizations of results obtained by Bertrand in [3, 4].

Tags: Commutative algebraic groups, transcendence theory, p-adic numbers