Harmonic-number summation identities, symmetric functions, and multiple zeta values

DOI10.1007/s11139-015-9750-4zbMath1422.11034arXiv1602.03198OpenAlexW3103806588MaRDI QIDQ513378

Michael E. Hoffman

Publication date: 6 March 2017

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03198

zbMATH Keywords

symmetric functionsmultiple zeta valuesquasi-symmetric functionsgeneralized harmonic numbers

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Symmetric functions and generalizations (05E05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (13)

On multisets, interpolated multiple zeta values and limit laws ⋮ On harmonic numbers and nonlinear Euler sums ⋮ Logarithmic integrals, zeta values, and tiered binomial coefficients ⋮ Symmetric functions and a natural framework for combinatorial and number theoretic sequences ⋮ Generalized harmonic number sums and quasisymmetric functions ⋮ Alternating multiple zeta values, and explicit formulas of some Euler-Apéry-type series ⋮ Gauss's theorem and harmonic number summation formulae with certain mathematical constants ⋮ Infinite series containing generalized harmonic numbers ⋮ Some congruences for generalized harmonic numbers and binomial coefficients with roots of unity ⋮ Explicit formulas of sums involving harmonic numbers and Stirling numbers ⋮ Evaluations of Euler-type sums of weight \(\le 5\) ⋮ On some combinatorial identities and harmonic sums ⋮ A note on harmonic number identities, Stirling series and multiple zeta values

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