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math.QA2002
Systèmes aux q-différences singuliers réguliers: solutions canoniques, classification, matrice de connexion et monodromie
Jacques Sauloy
G.D. Birkhoff extended the classical Riemann-Hilbert problem for differential equations to the case of ``fuchsian'' linear -difference systems with rational coefficients. He sol…
math.QA2002★ 8 cited
La filtration canonique par les pentes d'un module aux q-différences et le gradué associé
Jacques Sauloy
We show that the Newton polygon of a linear q-difference equation depends only on the corresponding q-difference module. We interpret the classical results of convergent factorisat…