Mixed Tate motives over ℤ

Mixed Tate motives over ℤ

We prove that the category of mixed Tate motives over ℤ is spanned by the motivic fundamental group of ℙ 1 minus three points. We prove a conjecture by M. Hoffman which states that every multiple zeta value is a ℚ-linear combination of ζ(n 1 ,..., n r ), where n i ∈ {2, 3}.

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Bibliographic Details
Published in:Annals of mathematics 2012-03, Vol.175 (2), p.949-976
Main Author: Brown, Francis
Format: Article
Language:eng
Subjects:
Algebra
Arithmetic
Coefficients
Integers
Iterated integrals
Mathematical rings
Mathematical theorems
Quotients
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Summary:We prove that the category of mixed Tate motives over ℤ is spanned by the motivic fundamental group of ℙ 1 minus three points. We prove a conjecture by M. Hoffman which states that every multiple zeta value is a ℚ-linear combination of ζ(n 1 ,..., n r ), where n i ∈ {2, 3}.
ISSN:0003-486X
1939-8980