Harmonic-Number Summation Identities, Symmetric Functions, and Multiple Zeta Values
Number Theory
2017-01-17 v1
Abstract
We show how infinite series of a certain type involving generalized harmonic numbers can be computed using a knowledge of symmetric functions and multiple zeta values. In particular, we prove and generalize some identities recently conjectured by J. Choi, and give several more families of identities of a similar nature.
Keywords
Cite
@article{arxiv.1602.03198,
title = {Harmonic-Number Summation Identities, Symmetric Functions, and Multiple Zeta Values},
author = {Michael E. Hoffman},
journal= {arXiv preprint arXiv:1602.03198},
year = {2017}
}
Comments
29 pp