Addendum to “Values of zeta functions of varieties over finite fields”

The original article [{\it Amer. J. Math.} {\bf 108} (1986), no. 2, 297--360] expressed the special values of the zeta function of a variety over a finite field in terms of the $\widehat{\Bbb{Z}}$-cohomology of the variety. As the article was being completed (September 1983), Lichtenbaum conjectured the existence of complexes of sheaves ${\Bbb Z}(r)$ extending the sequence ${\Bbb Z}$, ${\Bbb G}_{m}[-1],\ldots$. The complexes given by Bloch's higher Chow groups are known to satisfy most of the axioms for ${\Bbb Z}(r)$. Using Lichtenbaum's Weil-\'{e}tale topology, we can now give a beautiful restatement of the main theorem of the original article in terms of ${\Bbb Z}$-cohomology groups.