Document Type
Article
Publication Date
1-2015
Publication Title
Mathematika
DOI
10.1112/S0025579313000302
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 [Trans. Amer. Math. Soc. (to appear)]. 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.
Recommended Citation
Linebarger, Erin, Jianqiang Zhao.
2015.
"A Family of Multiple Harmonic Sum and Multiple Zeta Star Value Identities."
Mathematika, 61 (1): 63-71.
doi: 10.1112/S0025579313000302
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/413
Comments
This version of the paper was obtained from arXIV.org. In order for the work to be deposited in arXIV.org, the authors must hold the rights or the work must be under Creative Commons Attribution license, Creative Commons Attribution-Noncommercial-ShareAlike license, or Create Commons Public Domain Declaration. The publisher's final edited version of this article is available at Mathematika.