• Corpus ID: 229297650

Functional equations of polygonal type for multiple polylogarithms in weights 5, 6 and 7

  title={Functional equations of polygonal type for multiple polylogarithms in weights 5, 6 and 7},
  author={Steven Charlton and Herbert Gangl and Danylo V. Radchenko},
  journal={arXiv: Number Theory},
We present new functional equations in weights 5, 6 and 7 and use them for explicit depth reduction of multiple polylogarithms. These identities generalize the crucial identity $\mathbf{Q}_4$ from the recent work of Goncharov and Rudenko that was used in their proof of the weight 4 case of Zagier's Polylogarithm Conjecture. 

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