  We give two applications of our earlier work "Exponential sums on A^n, II"
(math.AG/9909009). We compute the p-adic cohomology of certain exponential sums
on A^n involving a polynomial whose homogeneous component of highest degree
defines a projective hypersurface with at worst weighted homogeneous isolated
singularities. This study was motivated by recent work of Garcia (Exponential
sums and singular hypersurfaces, Manuscripta Math., v. 97 (1998), pp. 45-58).
We also compute the p-adic cohomology of certain exponential sums on A^n whose
degree is divisible by the characteristic.
