Two new concepts of zeta functions for schemes over the field of one element are proposed. A localization formula and an explicit formula in the affine case are given. This allows for a computation for every scheme.
"Absolute zeta functions." Proc. Japan Acad. Ser. A Math. Sci. 84 (8) 138 - 142, October 2008. https://doi.org/10.3792/pjaa.84.138