Mixed Tate motives over $\Z$

Details Mixed Tate motives over $\Z$ Mixed Tate motives over $\Z$

2011-02-07

arxiv.org/abs/1102.1312v1

Mathematics

Algebraic Geometry

Scientific paper

We prove that the category of mixed Tate motives over $\Z$ is spanned by the
motivic fundamental group of $\Pro^1$ minus three points. We prove a conjecture
by M. Hoffman which states that every multiple zeta value is a $\Q$-linear
combination of $\zeta(n_1,..., n_r)$ where $n_i\in \{2,3\}$.

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