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Fonctions d’Igusa p-adiques et polynômes de Bernstein. (Igusa functions and Bernstein polynomials). (French) Zbl 0644.12007
This paper deals with the Bernstein identity for a polynomial f in two variables. The author relates the zeros of the Bernstein polynomial of f to certain invariants of the canonical imbedded resolution of the curve $$f=0$$. Results of Igusa and Strauss then rely those zeros to Igusa’s local zeta functions.
Reviewer: F.Baldassarri

##### MSC:
 11S80 Other analytic theory (analogues of beta and gamma functions, $$p$$-adic integration, etc.) 14G20 Local ground fields in algebraic geometry
##### Keywords:
Bernstein polynomial; Igusa’s local zeta functions
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