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arXiv · 1602.03198

Harmonic-Number Summation Identities, Symmetric Functions, and Multiple Zeta Values

Michael E. Hoffman
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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.

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Michael E. Hoffman. 2016-02-09. Harmonic-Number Summation Identities, Symmetric Functions, and Multiple Zeta Values. https://doi.org/10.1007/s11139-015-9750-4

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