2 papers
math.CA2008
Differential Galois Theory of Linear Difference Equations
Charlotte Hardouin, Michael F. Singer
We present a Galois theory of difference equations designed to measure the differential dependencies among solutions of linear difference equations. With this we are able to reprov…
math.CA2007
On the Definitions of Difference Galois Groups
Zoé Chatzidakis, Charlotte Hardouin, Michael F. Singer
We compare several definitions of the Galois group of a linear difference equation that have arisen in algebra, analysis and model theory and show, that these groups are isomorphic…