Identities involving cyclic sums of regularized multiple zeta values each of depth 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.

This paper is an expansion of Section 2.1 in the paper "A parameterized generalization of the sum formula for quadruple zeta values (arXiv:1210.8005 [math.NT])''. The results following Section 2.1 will be amplified in a forthcoming paper

References in corpus (1)

• Quasi-symmetric functions and mod p multiple harmonic sums

Cited by in corpus (1)

• Identity involving symmetric sums of regularized multiple zeta-star values