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

摘要

In 1987, C. Sabbah proved the existence of Bernstein-Sato polynomialsassociated with several analytic functions. The purpose of this article is togive a more elementary and constructive proof of the result of C. Sabbah basedon the notion of the analytic Grobner fan of a D-module.