Demonstration constructive de l'existence de polynomes de Bernstein-Sato pour plusieurs fonctions analytiques

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In 1987, C. Sabbah proved the existence of Bernstein-Sato polynomials associated with several analytic functions. The purpose of this article is to give a more elementary and constructive proof of the result of C. Sabbah based on the notion of the analytic Grobner fan of a D-module.
in french, 16 pages, 4 figures

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