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with Charlotte Hardouin. Submitted. 

ABSTRACT:

We establish some comparison results among the different Galois theories, parameterized or not, for q-difference equations, completing the work of Chatzidakis-Hardouin-Singer. Our main result is the link between the abstract parameterized Galois theories, that give information on the differential properties of abstract solutions of q-difference equations, and the properties of meromorphic solutions of such equations. Notice that a linear q-difference equation with meromorphic coefficients always admits a basis of meromorphic solutions.

ArXiv:1205.1696

HAL:hal-00794745

 

Parent Category: Publications
Category: Preprints