  In characteristic zero, the Bernstein-Sato polynomial of a hypersurface can
be described as the minimal polynomial of the action of an Euler operator on a
suitable D-module. We consider the analogous D-module in positive
characteristic, and use it to define a sequence of Bernstein-Sato polynomials
(corresponding to the fact that we need to consider also divided powers Euler
operators). We show that the information contained in these polynomials is
equivalent to that given by the F-jumping exponents of the hypersurface, in the
sense of Hara and Yoshida.
