Vol. 8, No. 2, 2019

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Identity involving symmetric sums of regularized multiple zeta-star values

Tomoya Machide

Vol. 8 (2019), No. 2, 125–136

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.

multiple zeta value, multiple zeta-star value, symmetric sum, Bell polynomial
Mathematical Subject Classification 2010
Primary: 11M32
Secondary: 11B73
Received: 10 April 2018
Published: 20 May 2019
Tomoya Machide
National Institute of Informatics
JST, ERATO, Kawarabayashi Large Graph Project
Global Research Center for Big Data Mathematics