Mixed Tate motives over $\Z$

Francis Brown

Mixed Tate motives over $\Z$

Algebraic Geometry 2011-02-08 v1 Number Theory

Authors: Francis Brown

Abstract

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 $n_i\in \{2,3\}$ .

Keywords

multiple zeta values motives conjectures and proofs

Cite

@article{arxiv.1102.1312,
  title  = {Mixed Tate motives over $\Z$},
  author = {Francis Brown},
  journal= {arXiv preprint arXiv:1102.1312},
  year   = {2011}
}

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