Algebraic-relations conjecture for multiple zeta values and the Drinfel'd associator

Let the multiple zeta values be the coefficients associated with the Drinfel'd associator, and let Property II refer to the listed relations of that associator, denoted in the source by (0)(III)(0)\sim(III). Associator-relations conjecture. All algebraic relations among the multiple zeta values can be deduced from the relations of the Drinfel'd associator (0)(III)(0)\sim(III) in Property II. The conjecture proposes a complete presentation of the algebraic relations among multiple zeta values in terms of the associator relations; the source gives no resolution evidence.

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Primary source

Hidekazu Furusho, “The multiple zeta value algebra and the stable derivation algebra”, arXiv:math/0011261 (2003).

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