Identity Families of Multiple Harmonic Sums and Multiple Zeta (Star) Values
Number Theory
2018-04-06 v4
Abstract
In this paper we present many new families of identities for multiple harmonic sums using binomial coefficients. Some of these generalize a few recent results of Hessami Pilehrood et al. As applications we prove several conjectures involving multiple zeta star values (MZSV): the Two-one formula conjectured by Ohno and Zudilin, and a few conjectures of Imatomi et al. involving 2-3-2-1 type MZSV, where 2 means some finite string of 2's
Keywords
Cite
@article{arxiv.1303.2227,
title = {Identity Families of Multiple Harmonic Sums and Multiple Zeta (Star) Values},
author = {Jianqiang Zhao},
journal= {arXiv preprint arXiv:1303.2227},
year = {2018}
}
Comments
22 pages, a new system of notation is used which greatly simplify the exposition of the paper