Geodesic
Mixed Tate motives over $\mathbb{Z}$
Francis Brown1
1 Institut de Mathématiques de Jussieu, 175 Rue du Chevaleret, 75013 Paris, France
Annals of mathematics, Tome 175 (2012) no. 2, pp. 949-976.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove that the category of mixed Tate motives over $\mathbb{Z}$ is spanned by the motivic fundamental group of $\mathbb{P}^1$ minus three points. We prove a conjecture by M. Hoffman which states that every multiple zeta value is a $\mathbb{Q}$-linear combination of $\zeta(n_1,\ldots, n_r)$, where $n_i\in \{2,3\}$.
DOI : 10.4007/annals.2012.175.2.10

Francis Brown 1

1 Institut de Mathématiques de Jussieu, 175 Rue du Chevaleret, 75013 Paris, France 
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Francis Brown. Mixed Tate motives over $\mathbb{Z}$. Annals of mathematics, Tome 175 (2012) no. 2, pp. 949-976. doi : 10.4007/annals.2012.175.2.10. http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.175.2.10/

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