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Abstract
An identity involving symmetric sums of regularized multiple zeta-star values of
harmonic type was proved by Hoffman. In this paper, we prove an identity of shuffle
type. We use Bell polynomials appearing in the study of set partitions to prove the
identity.
Keywords
multiple zeta value, multiple zeta-star value, symmetric
sum, Bell polynomial
Mathematical Subject Classification 2010
Primary: 11M32
Secondary: 11B73
Milestones
Received: 10 April 2018
Published: 20 May 2019