The $p$-adic analytic subgroup theorem revisited

Clemens Fuchs; Duc Hiep Pham

The $p$-adic analytic subgroup theorem revisited

Number Theory 2015-12-21 v1

Authors: Clemens Fuchs , Duc Hiep Pham

Abstract

It is well-known that the W\"ustholz' 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 $\pi$ 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.

Keywords

p-adic hodge theory p-adic analysis

Cite

@article{arxiv.1502.00768,
  title  = {The $p$-adic analytic subgroup theorem revisited},
  author = {Clemens Fuchs and Duc Hiep Pham},
  journal= {arXiv preprint arXiv:1502.00768},
  year   = {2015}
}

Comments

This is a preprint of the Materials accepted for publication in "p-Adic Numbers, Ultrametric Analysis and Applications"

The $p$-adic analytic subgroup theorem revisited

Abstract

Keywords

Cite

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