Identities involving cyclic sums of regularized multiple zeta values each of depth less than $5$

TL;DR

This paper establishes identities involving cyclic sums of regularized multiple zeta values of depth less than 5 and extends Hoffman's theorem for symmetric sums in this context.

Contribution

It introduces new identities for cyclic sums of regularized multiple zeta values and extends Hoffman's theorem for symmetric sums at depth less than 5.

Findings

Derived identities for cyclic sums of regularized multiple zeta values

Extended Hoffman's theorem for symmetric sums of multiple zeta values

Applicable to depths less than 5

Abstract

In this paper, we give identities involving cyclic sums of regularized multiple zeta values of depth less than $5$. As a corollary, we present two kinds of extensions of Hoffman's theorem for symmetric sums of multiple zeta values for this case.