On the computation of Bernstein–Sato ideals

In this paper we compare the approach of Brianc¸on and Maisonobe for computing Bernstein–Sato ideals—based on computations in a Poincare´–Birkhoff–Witt algebra—with the readily available method of Oaku and Takayama. We show that it can deal with interesting examples that have proved intractable so far. [Copyright &y& Elsevier]