Identities involving cyclic sums of regularized multiple zeta values each of depth less than $5$
Number Theory
2017-01-25 v1
Abstract
In this paper, we give identities involving cyclic sums of regularized multiple zeta values of depth less than . As a corollary, we present two kinds of extensions of Hoffman's theorem for symmetric sums of multiple zeta values for this case.
Keywords
Cite
@article{arxiv.1502.02505,
title = {Identities involving cyclic sums of regularized multiple zeta values each of depth less than $5$},
author = {Tomoya Machide},
journal= {arXiv preprint arXiv:1502.02505},
year = {2017}
}
Comments
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