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




Galois groups of the Lie-irreducible generalized $q$-hypergeometric equations of order three with $q$-real parameters : an approach using a density theorem - Download this document for free, or read online. Document in PDF available to download.

1 DMA - Département de Mathématiques et Applications

Abstract : 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 SL3,C.

Keywords : generalized q-hypergeometric equations difference Galois theory





Author: Julien Roques -

Source: https://hal.archives-ouvertes.fr/



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