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Inverse of a matrix related to double zeta values of odd weight (1510.06094v1)
Published 21 Oct 2015 in math.NT
Abstract: In this paper, we give a proof of a conjecture made by Zagier about the inverse of some matrix related to double zeta values of parity $(\mathrm{even},\mathrm{odd})$. As a result, we obtain a family of Bernoulli number identities. We further generalize this family to a more general setting involving binomial coefficients of negative arguments.