Absolute zeta functions

Anton Deitmar, Shin-ya Koyama, Nobushige Kurokawa
2008 Proceedings of the Japan Academy. Series A Mathematical sciences  
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.
doi:10.3792/pjaa.84.138 fatcat:ruwinwilwvedvh5kul4ta7aplm