Cyclic relation for multiple zeta functions
Number Theory
2022-03-17 v2
Abstract
The cyclic relation obtained in a study by Hirose, Murakami, and the first-named author, is a wide class of relations, which includes the well-known cyclic sum formula for multiple zeta and zeta-star values, and the derivation relation for multiple zeta values. In this paper, we present its generalization to complex variables. Our proof includes a new proof of the cyclic relation.
Cite
@article{arxiv.2003.08068,
title = {Cyclic relation for multiple zeta functions},
author = {Hideki Murahara and Tomokazu Onozuka},
journal= {arXiv preprint arXiv:2003.08068},
year = {2022}
}