Galois theory of difference equations with periodic parameters

Abstract

We develop a Galois theory for systems of linear difference equations with periodic parameters, for which we also introduce linear difference algebraic groups. We then apply this to constructively test if solutions of linear q-difference equations, with complex q, not a root of unity, satisfy any polynomial q'-difference equations with q' being a root of unity.

42 pages

References in corpus (1)

• Approche galoisienne de la transcendance différentielle

Cited by in corpus (1)

• σ-Galois theory of linear difference equations