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arXiv · 0910.4826

Iterative q difference Galois Theory

Charlotte Hardouin
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Abstract

We propose in this paper a Galois theory of $q$-difference equations where q is a root of unity. This theory is the q difference analogue of the Galois theory of iterative differential equations, that is differential equations over fields of positive characteristic. This theory contains and generalizes the Galois theory of q difference equations developed by Singer and van der Put.

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Charlotte Hardouin. 2009-10-26. Iterative q difference Galois Theory. https://arxiv.org/abs/0910.4826

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