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 Gröbner fan of a D-module.
@article{hal-00000497,
author = {Bahloul, Rouchdi},
title = {D\'emonstration constructive de l'existence de polyn\^omes de Bernstein-Sato pour plusieurs fonctions analytiques},
journal = {HAL},
volume = {2003},
number = {0},
year = {2003},
language = {fr},
url = {http://dml.mathdoc.fr/item/hal-00000497}
}
Bahloul, Rouchdi. Démonstration constructive de l'existence de polynômes de Bernstein-Sato pour plusieurs fonctions analytiques. HAL, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/hal-00000497/