Does anyone know where to get higher orders (for weight >10) expansion in Drinfeld associators. (the generating function for MZVs) The answer might be in the form of (4.5) in https://arxiv.org/pdf/1310.3259.pdf. (i.e. in terms of generators of the algebra e0, e1)
2026-03-30 04:18:17.1774844297
Drinfeld associators expansion to higher weights
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So according to https://arxiv.org/pdf/1310.3259.pdf or https://arxiv.org/pdf/1301.3053.pdf. We can use the first order differential equation:
d/dz I(e0,e1)=(e0/z+e1/(1-z))I(e0,e1) or d/dz I(e0,e1)=I(e0,e1)(e0/z+e1/(1-z))
And on evaluate z to 1 we get the result in both paper respectively. (Normalizing HPL({1},1)=0)
(Also Note:the above two have different convention)