Galois groups of the Lie-irreducible generalized $q$-hypergeometric equations of order three with $q$-real parameters : an approach using a density theorem

Details Galois groups of the Lie-irreducible generalized $q$-hypergeometric equations of order three with $q$-real parameters : an approach using a density theorem Galois groups of the Lie-irreducible generalized $q$-hypergeometric equations of order three with $q$-real parameters : an approach using a density theorem

2007-11-22

arxiv.org/abs/0711.3513v1

Mathematics

Classical Analysis and ODEs

Scientific paper

In this paper we compute the difference Galois groups of the Lie-irreducible
regular singular generalized q-hypergeometric equations of order 3 with q-real
parameters by using a density theorem due to Sauloy. In contrast with the
differential case, we show that these groups automatically contain the special
linear group SL(3,C).

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