8 citations · 13 across the 6 of their papers we have counts for
6 papers
Théorie analytique locale des équations aux -différences de pentes arbitraires
Jacques Sauloy
The local analytic classification and the description of the Galois group for complex linear analytic q-difference equations have been obtained by Ramis, Sauloy and Zhang [15, 14]…
Classification de modules aux différences filtrés isogradués
Jacques Sauloy
The local analytic classification of irregular linear q-difference equations (Ramis-Sauloy-Zhang) involves the classfication of filtered q-difference modules with a prescribed asso…
Équations aux q-différences linéaires: factorisation, résolution et théorèmes d'indices
Jacques Sauloy
We describe explicit algorithms for factoring q-difference operators and solving q-difference equations. These are well known results, presented in a "concrete" form. ----- Nous de…
Equations aux q-differences et fibres vectoriels holomorphes sur la courbe elliptique C^*/q^Z
Jacques Sauloy
Nous presentons diverses applications des fibres vectoriels aux equations aux q-differences, dans la lignee de la correspondance de Weil. (We present some applications of vector bu…
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…
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…