Ohno relation for regularized multiple zeta values
Number Theory
2021-05-21 v1
Abstract
The Ohno relation for multiple zeta values can be formulated as saying that a certain operator, defined for indices, is invariant under taking duals. In this paper, we generalize the Ohno relation to regularized multiple zeta values by showing that, although the suitably generalized operator is not invariant under taking duals, the relation between its values at an index and at its dual index can be written explicitly in terms of the gamma function.
Keywords
Cite
@article{arxiv.2105.09631,
title = {Ohno relation for regularized multiple zeta values},
author = {Minoru Hirose and Hideki Murahara and Shingo Saito},
journal= {arXiv preprint arXiv:2105.09631},
year = {2021}
}