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arxiv: 1102.1312 · v1 · pith:F2PFOGALnew · submitted 2011-02-07 · 🧮 math.AG · math.NT

Mixed Tate motives over Z

Francis Brown This is my paper
classification 🧮 math.AG math.NT
keywords mixedmotivesprovetatezetacategorycombinationconjecture
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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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