A cyclic analogue of multiple zeta values
Number Theory
2018-07-04 v2
Abstract
We consider a cyclic analogue of multiple zeta values (CMZVs), which has two kinds of expressions; series and integral expression. We prove an `integralseries' type identity for CMZVs. By using this identity, we construct two classes of -linear relations among CMZVs. One of them is a generalization of the cyclic sum formula for multiple zeta-star values. We also give an alternative proof of the derivation relation for multiple zeta values.
Keywords
Cite
@article{arxiv.1806.10888,
title = {A cyclic analogue of multiple zeta values},
author = {Minoru Hirose and Hideki Murahara and Takuya Murakami},
journal= {arXiv preprint arXiv:1806.10888},
year = {2018}
}