#### Vol. 286, No. 2, 2017

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Identities involving cyclic and symmetric sums of regularized multiple zeta values

### Tomoya Machide

Vol. 286 (2017), No. 2, 307–359
##### Abstract

There are two types of regularized multiple zeta values: harmonic and shuffle types. The first purpose of the present paper is to give identities involving cyclic sums of regularized multiple zeta values of both types for depth less than $5$. Michael Hoffman, in “Quasi-symmetric functions and mod $p$ multiple harmonic sums” (Kyushu Journal of Mathematics 69 (2015), 345–366) proved an identity involving symmetric sums of regularized multiple zeta values of harmonic type for arbitrary depth. The second purpose is to prove Hoffman’s identity for shuffle type. We also give a connection between the identities involving cyclic sums and symmetric sums, for depth less than $5$.

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