Abstract

It is well-known that the Wüstholz’ analytic subgroup theorem is one of the most powerful theorems in transcendence theory. The theorem gives in a very systematic and conceptual way the transcendence of a large class of complex numbers, e.g. the transcendence of π which is originally due to Lindemann. In this paper we revisit the p-adic analogue of the analytic subgroup theorem and present a proof based on the method described and developed by the authors in a recent related paper.