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Mixed Tate motives over $\Z$ (1102.1312v1)
Published 7 Feb 2011 in math.AG and math.NT
Abstract: We prove that the category of mixed Tate motives over $\Z$ is spanned by the motivic fundamental group of $\Pro1$ 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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