Work

The $p$-adic analytic subgroup theorem revisited

Year: 2015

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1502.00768

Authors: Fuchs, Clemens, Pham, Duc Hiep

Institutions: University of Salzburg, Hanoi National University of Education

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Austrian Science Fund

Awards: Explicit Problems in Diophantine Analysis and Geometry, Number Theory

OpenAlex ID: W2951897709

Cites: 6

Cited by: 1

Related to: 20