Generating functions for Ohno type sums of finite and symmetric multiple zeta-star values

DOI10.4310/AJM.2021.V25.N6.A4zbMATH Open1497.11216arXiv1905.04875OpenAlexW4312840498MaRDI QIDQ2092692

Shingo Saito, Minoru Hirose, Hideki Murahara

Publication date: 3 November 2022

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1905.04875

zbMATH Keywords

Ohno's relationfinite multiple zeta(-star) valuessymmetric multiple zeta(-star) valuesmultiple zeta(-star) valuesOyama's relation

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

This page was built for publication: Generating functions for Ohno type sums of finite and symmetric multiple zeta-star values

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2092692)