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On Hoffman's conjectural identity

arXiv:1704.06478

Abstract

In this paper, we shall prove the equality \[ ζ(3,\{2\}^{n},1,2)=ζ(\{2\}^{n+3})+2ζ(3,3,\{2\}^{n}) \] conjectured by Hoffman using certain identities among iterated integrals on $\mathbb{P}^{1}\setminus\{0,1,\infty,z\}$.

4 pages