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math.NT2017★ 1 cited
On Hoffman's conjectural identity
Minoru Hirose, Nobuo Sato
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 $\m…
math.NT2017★ 2 cited
Duality/Sum formulas for iterated integrals and their application to multiple zeta values
Minoru Hirose, Kohei Iwaki, Nobuo Sato +1
We investigate linear relations among a class of iterated integrals on the Riemann sphere minus four points and . Generalization of the duality formula and the sum…