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This is a summary of recent work where we introduced a class of D-modules adapted to study ideals generated by exponential polynomials.
Étant donné un système d’équations différence-différentielles à coefficients constants en deux variables, où les retards sont commensurables, de la forme : , , si le système n’est pas redondant (i.e. est discrète dans ), toute solution du système admet une représentation , où , et est une solution du système . La série est de plus convergente dans après un groupement de termes indépendant de la solution .
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