Generating functions for Ohno type sums of finite and symmetric multiple zeta-star values
Number Theory
2019-05-14 v1
Abstract
Ohno's relation states that a certain sum, which we call an Ohno type sum, of multiple zeta values remains unchanged if we replace the base index by its dual index. In view of Oyama's theorem concerning Ohno type sums of finite and symmetric multiple zeta values, Kaneko looked at Ohno type sums of finite and symmetric multiple zeta-star values and made a conjecture on the generating function for a specific index of depth three. In this paper, we confirm this conjecture and further give a formula for arbitrary indices of depth three.
Keywords
Cite
@article{arxiv.1905.04875,
title = {Generating functions for Ohno type sums of finite and symmetric multiple zeta-star values},
author = {Minoru Hirose and Hideki Murahara and Shingo Saito},
journal= {arXiv preprint arXiv:1905.04875},
year = {2019}
}