2 research outputs found

    Nouvelle Cuisine for the Computation of the Annihilating Ideal of fsf^s

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    Let f1,,fpf_1,\ldots, f_p be polynomials in C[x1,,xn]{\bf C}[x_1,\ldots, x_n] and let D=DnD = D_n be the nn-th Weyl algebra. The annihilating ideal of fs=f1s1fpspf^s=f_1^{s_1}\cdots f_p^{s_p} in D[s]=D[s1,,sp]D[s]=D[s_1,\ldots,s_p] is a necessary step for the computation of the Bernstein-Sato ideals of f1,,fpf_1,\ldots, f_p. We point out experimental differences among the efficiency of the available methods to obtain this annihilating ideal and provide some upper bounds for the complexity of its computation
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