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arxiv: 1102.1310 · v2 · pith:6TNZZRUMnew · submitted 2011-02-07 · 🧮 math.NT · hep-ph

On the decomposition of motivic multiple zeta values

classification 🧮 math.NT hep-ph
keywords motivicmultiplezetavaluesweightalgorithmapplicationaspects
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We review motivic aspects of multiple zeta values, and as an application, we give an exact-numerical algorithm to decompose any (motivic) multiple zeta value of given weight into a chosen basis up to that weight.

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    Proposes motivic coaction formulae for genus-one iterated integrals over holomorphic Eisenstein series using zeta generators, verifies expected coaction properties, and deduces f-alphabet decompositions of multiple mo...