Remarks on zeta functions and K-theory over F1

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.

LaTeX, 14 pages

References in corpus (1)

• Les variétés sur le corps à un élément

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