A density theorem for the difference Galois groups of regular singular Mahler equations
Number Theory
2022-03-09 v2
Abstract
The difference Galois theory of Mahler equations is an active research area. The present paper aims at developing the analytic aspects of this theory. We first attach a pair of connection matrices to any regular singular Mahler equation. We then show that these connection matrices can be used to produce a Zariski-dense subgroup of the difference Galois group of any regular singular Mahler equation.
Cite
@article{arxiv.2012.14659,
title = {A density theorem for the difference Galois groups of regular singular Mahler equations},
author = {Marina Poulet},
journal= {arXiv preprint arXiv:2012.14659},
year = {2022}
}