On Hoffman's conjectural identity

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

References in corpus (1)

• The Multiple Zeta Value Data Mine