A Density Theorem for the Difference Galois Groups of Regular Singular Mahler Equations-Reference-Cited by-同舟云学术

A Density Theorem for the Difference Galois Groups of Regular Singular Mahler Equations

Published:2021-10-04 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Poulet Marina¹

Affiliation:

1. Univ. Lyon, Université Claude Bernard Lyon 1, CNRS UMR 5208, Institut Camille Jordan, F-69622 Villeurbanne, France

Abstract

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.

Funder

framework of the LABEX MILYON

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab277/40503769/rnab277.pdf

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