Remarks on zeta functions and K-theory over F1

Details Remarks on zeta functions and K-theory over F1 Remarks on zeta functions and K-theory over F1

2006-05-16

arxiv.org/abs/math/0605429v3

Mathematics

Number Theory

LaTeX, 14 pages

Scientific paper

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.

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