Harmonic-number summation identities, symmetric functions, and multiple zeta values
type: Item
instance of: scholarly article
title: Harmonic-number summation identities, symmetric functions, and multiple zeta values
zbMATH Open document ID: 1422.11034
author: Michael E. Hoffman
published in: The Ramanujan Journal
publication date: 2017-03-06T00:00:00Z
full work available at URL: https://arxiv.org/abs/1602.03198
Mathematics Subject Classification ID: 11B65
Mathematics Subject Classification ID: 11M32
Mathematics Subject Classification ID: 05E05
zbMATH DE Number: 6692056
zbMATH Keywords: generalized harmonic numbers
zbMATH Keywords: multiple zeta values
zbMATH Keywords: symmetric functions
zbMATH Keywords: quasi-symmetric functions
MaRDI profile type: Publication
OpenAlex ID: W3103806588
arXiv ID: 1602.03198
cites work: On an Intriguing Integral and Some Series Related to ζ(4)
cites work: DUALITY IN TAILS OF MULTIPLE-ZETA VALUES
cites work: The Gauss2F1(1)-summation theorem and harmonic number identities
cites work: Summation formulas involving binomial coefficients, harmonic numbers, and generalized harmonic numbers
cites work: Hypergeometric series and the Riemann zeta function
cites work: On one-dimensional digamma and polygamma series related to the evaluation of Feynman diagrams
cites work: Euler Sums and Contour Integral Representations
cites work: The Arakawa-Kaneko zeta function
cites work: Q4213356
cites work: Multiple harmonic series
cites work: The algebra of multiple harmonic series
cites work: A character on the quasi-symmetric functions coming from multiple zeta values
cites work: On multiple zeta values of even arguments
cites work: Sums of generalized harmonic series
cites work: Relations of multiple zeta values and their algebraic expression.
cites work: Q4328336
cites work: Nonlinear Euler sums
cites work: Q5248828
cites work: Some Identities Involving Harmonic Numbers
cites work: Q4324348
cites work: Further summation formulae related to generalized harmonic numbers
DOI: 10.1007/S11139-015-9750-4
description: scientific article