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arXiv · 1304.3927

A Family of Multiple Harmonic Sum and Multiple Zeta Star Value Identities

Erin Linebarger·Jianqiang Zhao
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Abstract

In this paper we present a new family of identities for multiple harmonic sums which generalize a recent result of Hessami Pilehrood et al. We then apply it to obtain a family of identities relating multiple zeta star values to alternating Euler sums. In such a typical identity the entries of the multiple zeta star values consist of blocks of arbitrarily long 2-strings separated by positive integers greater than two while the largest depth of the alternating Euler sums depends only on the number of 2-string blocks but not on their lengths.

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Erin Linebarger, Jianqiang Zhao. 2013-04-14. A Family of Multiple Harmonic Sum and Multiple Zeta Star Value Identities. https://doi.org/10.1112/s0025579313000302

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