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Galois theory of difference equations with periodic parameters
release_fn4orj2fajefnijsh6bnfmczfy
by
Benjamin Antieau,
Alexey Ovchinnikov,
Dmitry Trushin
Released
as a article
.
2012
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.
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1009.1159v3
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