Démonstration constructive de l'existence de polyn?mes de Bernstein–Sato pour plusieurs fonctions analytiques

摘要

In 1987, Sabbah proved the existence of Bernstein–Sato polynomials associated with several analytic functions. The purpose of this paper is to give a more elementary and constructive proof of Sabbah's result based on the notion of the analytic Gr?bner fan of a $mathcal D$-module.