### Computing zeta functions over finite fields, by Daqing Wan

In this paper, we give an overview of the various general methods in
computing the zeta function of an algebraic variety defined over a
finite field, with an emphasis on computing the reduction modulo $p^m$
of the zeta function of a hypersurface, where $p$ is the characteristic
of the finite field. In particular, this applies to the problem of
counting rational points of an algebraic variety over a finite field.

Daqing Wan <dwan@math.uci.edu>