Remarks on zeta functions and K-theory over F1
Number Theory
2007-05-23 v3
Abstract
We show that the notion of zeta functions over F1, as given in special cases by Soule', extends naturally to all F1-schemes as defined earlier by the author. We further give two constructions of K-theory for affine schemes or F1-rings, we show that these coincide in the group case, but not in general.
Cite
@article{arxiv.math/0605429,
title = {Remarks on zeta functions and K-theory over F1},
author = {Anton Deitmar},
journal= {arXiv preprint arXiv:math/0605429},
year = {2007}
}
Comments
LaTeX, 14 pages