Mixed Tate Motives and Multiple Zeta Values

Details Mixed Tate Motives and Multiple Zeta Values Mixed Tate Motives and Multiple Zeta Values

2001-04-25

arxiv.org/abs/math/0104231v2

Mathematics

Algebraic Geometry

24 pages, LaTeX with amsart

Scientific paper

10.1007/s002220200218

In this paper, we construct an object of the abelian category of mixed Tate
motive associated to multiple zeta values. as a consequence, we prove the
inequality of the dimension of the vector space generated by multiple zeta
values, which is conjectured by Zagier. (Some errors was corrected from the
first version. Namely, we changed the definition of the boundary $\bold B^0$.)

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