CONSTRUCTION D'UN ÉLÉMENT REMARQUABLE DE L'IDÉAL DE BERNSTEIN-SATO ASSOCIÉ À DEUX COURBES PLANES ANALYTIQUES-Reference-Cited by-同舟云学术

CONSTRUCTION D'UN ÉLÉMENT REMARQUABLE DE L'IDÉAL DE BERNSTEIN-SATO ASSOCIÉ À DEUX COURBES PLANES ANALYTIQUES

Published:2005 Issue:2 Volume:59 Page:421-441
ISSN:1340-6116
Container-title:Kyushu Journal of Mathematics
language:en
Short-container-title:Kyushu J. Math.

Author:

BAHLOUL Rouchdi¹

Affiliation:

1. Department of Mathematics Faculty of Science Kobe University

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Link

https://www.jstage.jst.go.jp/article/kyushujm/59/2/59_2_421/_pdf

Reference22 articles.

1. [1] R. Bahloul. Algorithm for computing Bernstein-Sato ideals associated with a polynomial mapping. J. Symbolic Comput. 32 (2001), 643-662.

2. [2] R. Bahloul. Démonstration constructive de l'existence de polynômes de Bernstein-Sato pour plusieurs fonctions analytiques. Compositio Math. 141 (2005), 175-191.

3. [3] I. N. Bernstein. The analytic continuation of generalized functions with respect to a parameter. Funct. Anal. Appl. 6 (1972), 273-285.

4. [4] J. E. Björk. Dimensions of modules over algebras of differential operators. Fonctions analytiques de plusieurs variables et analyse complexe (Colloq. Internat. CNRS, No. 208, Paris, 1972). ‘Agora Mathematica’, No. 1. Gauthier-Villars, Paris, 1974, pp. 6-11.

5. [5] B. Buchberger. Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems. Aequationes Math. 4 (1970), 374-383.

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2. Some results on Bernstein-Sato polynomials for parametric analytic functions;Proceedings of the Japan Academy, Series A, Mathematical Sciences;2006-03-01