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Lieu des pôles d’un système holonome d’équations aux différences finies. (Location of poles of a holonomic system of finite difference equations). (French) Zbl 0766.32011
The author shows that every holonomic system of algebraic finite difference equations admits a basis for which the poles of the translation matrices are contained in a finite union of affine hyperplanes having a linear direction with coefficients in \(Z\).

MSC:
32C38 Sheaves of differential operators and their modules, \(D\)-modules
39A10 Additive difference equations
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References:
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