  We show that for a hypersurface Batyrev's stringy E-function can be seen as a
residue of the Hodge zeta function, a specialization of the motivic zeta
function of Denef and Loeser. This is a nice application of inversion of
adjunction. If an affine hypersurface is given by a polynomial that is
non-degenerate with respect to its Newton polyhedron, then the motivic zeta
function and thus the stringy E-function can be computed from this Newton
polyhedron (by work of Artal, Cassou-Nogues, Luengo and Melle based on an
algorithm of Denef and Hoornaert). We use this procedure to obtain an easy way
to compute the contribution of a Brieskorn singularity to the stringy
E-function. As a corollary, we prove that stringy Hodge numbers of varieties
with a certain class of strictly canonical Brieskorn singularities are
nonnegative. We conclude by computing an interesting 6-dimensional example. It
shows that a result, implying nonnegativity of stringy Hodge numbers in lower
dimensional cases, obtained in our previous paper, is not true in higher
dimension.
