On classical irregular q-difference equations

DOI10.1112/S0010437X12000292zbMath1259.39008MaRDI QIDQ3167324

Julien Roques

Publication date: 2 November 2012

Published in: Compositio Mathematica (Search for Journal in Brave)

zbMATH Keywords

Galois groups\(q\)-difference equationsdifference Galois theoryquantizations\(q\)-hypergeometric equations\(q\)-Kloosterman equations

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference equations, scaling ((q)-differences) (39A13)

Related Items (2)

On the positive powers of 𝑞-analogs of Euler series ⋮ Functional relations for solutions of \(q\)-difference equations

Cites Work

• Galois theory of \(q\)-difference equations
• Generalized basic hypergeometric equations
• A characterization of the classical groups
• Matrices de Stokes et groupe de Galois des équations hypergéometriques confluentes generalisées. (Stokes matrices and Galois groups of generalized confluent hypergeometric equations)
• On the calculation of some differential Galois groups
• A note on pseudo-CM representations and differential Galois groups
• Siegel normality
• Differential Galois groups of confluent generalized hypergeometric equations: An approach using Stokes multipliers
• Arithmetic theory of \(q\)-difference equations. The \(q\)-analogue of Grothendieck-Katz's conjecture on \(p\)-curvatures
• Systèmes aux \(q\)-différences singuliers réguliers : classification, matrice de connexion et monodromie. (Regular singular \(q\)-difference systems: Classification, connection matrix and monodromy)
• The canonical filtration by the slopes of a \(q\)-difference module and the associated graded module.
• Différentielles non commutatives et théorie de Galois différentielle ou aux différences
• Galois theory of fuchsian q-difference equations

This page was built for publication: On classical irregular q-difference equations