Galois Theory of Difference Equations with Periodic Parameters |
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| Authors: | Benjamin Antieau Dmitry Trushin |
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| Institution: | 1. Department of Mathematics , University of California at Los Angeles , Los Angeles , California , USA;2. Einstein Institute of Mathematics , The Hebrew University of Jerusalem , Jerusalem , Israel |
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| 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 apply this to constructively test if solutions of linear q-difference equations, with q ∈ ?* and q not a root of unity, satisfy any polynomial ζ-difference equations with ζ t = 1, t ≥ 1. |
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| Keywords: | Difference Galois theory q-Difference equations Difference pseudofields |
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