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arXiv · 1408.2987

An approach to F_1 via the theory of lambda rings

Stanislaw Betley
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Abstract

We model the field $F_1$ of one element as a lambda ring $\bf Z$ with the canonical lambda structure. We show that then we can calculate the Riemann zeta function of integers in two ways: the first, geometrical, as a zeta function of the affine line over $F_1$ and the second, categorical, as a zeta function of the category of modules over $F_1$.

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Stanislaw Betley. 2014-08-13. An approach to F_1 via the theory of lambda rings. https://arxiv.org/abs/1408.2987

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