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Remarks on zeta functions and K-theory over F1

Anton Deitmar
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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.

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Anton Deitmar. 2006-05-22. Remarks on zeta functions and K-theory over F1. https://arxiv.org/abs/math/0605429

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