arXiv:math/0605429 Abstract

arXiv:math/0605429 [math.NT]Abstract References Reviews Resources

Remarks on zeta functions and K-theory over F1

Published 2006-05-16, updated 2006-05-22Version 3

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.

Comments: LaTeX, 14 pages

Categories: math.NT

Keywords: zeta functions, special cases, affine schemes, group case, f1-schemes

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