  Following the ideas of Flach and Morin (Doc. Math. 23 (2018), 1425--1560), we
state a conjecture in terms of Weil-\'etale cohomology for the vanishing order
and special value of the zeta function $\zeta (X, s)$ at $s = n < 0$, where $X$
is a separated scheme of finite type over $\operatorname{Spec} \mathbb{Z}$. We
prove that the conjecture is compatible with closed-open decompositions of
schemes and affine bundles, and as a consequence, that it holds for cellular
schemes over certain 1-dimensional bases.
  This is a continuation of author's preprint [arXiv:2012.11034], which gives a
construction of Weil-\'etale cohomology for $n < 0$ under the mentioned
assumptions on $X$.
