Arithmetic differential equations on $GL_n$, III: Galois groups
Number Theory
2015-01-12 v2
Abstract
Differential equations have arithmetic analogues in which derivatives are replaced by Fermat quotients; these analogues are called arithmetic differential equations and the present paper is concerned with the "linear" ones. The equations themselves were introduced in a previous paper. In the present paper we deal with the solutions of these equations as well as with the differential Galois groups attached to the solutions.
Cite
@article{arxiv.1308.0747,
title = {Arithmetic differential equations on $GL_n$, III: Galois groups},
author = {Alexandru Buium and Taylor Dupuy},
journal= {arXiv preprint arXiv:1308.0747},
year = {2015}
}