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On classical irregular q-difference equations

Part of: Difference equations Difference and functional equations

Published online by Cambridge University Press:  25 July 2012

Julien Roques
Julien Roques*
Affiliation:
Institut Fourier, Université Grenoble 1, UMR CNRS 5582, 100 rue des Maths, BP 74, 38402 St Martin d’Hères, France (email: Julien.Roques@ujf-grenoble.fr)
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Abstract

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The primary aim of this paper is to (provide tools to) compute Galois groups of classical irregular q-difference equations. We are particularly interested in quantizations of certain differential equations that arise frequently in the mathematical and physical literature, namely confluent generalized q-hypergeometric equations and q-Kloosterman equations.

Keywords

q-difference equationsdifference Galois theory

MSC classification

Secondary: 39A13: Difference equations, scaling ($q$-differences)
Type
Research Article
Information
Compositio Mathematica , Volume 148 , Issue 5 , September 2012 , pp. 1624 - 1644
Copyright
Copyright © Foundation Compositio Mathematica 2012

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