Free Download Lucia Di Vizio , Charlotte Hardouin, "Intrinsic Approach to Galois Theory of Q-difference Equations"
English | ISBN: 1470453843 | 2023 | 70 pages | PDF | 1 MB
The Galois theory of difference equations has witnessed a major evolution during the past two decades, say Di Vizio and Hardouin, and in the particular case of q-difference equations, several different Galois theories have emerged. They consider here an arithmetic approach to the Galois theory of q-difference equations, and use it to establish an arithmetical description of some of the Galois groups attached to q-difference systems. After an introduction to q-difference equations, they cover the triviality of q-difference equations with rational coefficients, intrinsic Galois groups, and comparison with the non-linear theory.