Document Type
Article
Publication Date
5-2015
Publication Title
International Journal of Number Theory
DOI
10.1142/S1793042115500530
Abstract
Euler's sum formula and its multi-variable and weighted generalizations form a large class of the identities of multiple zeta values. In this paper, we prove a family of identities involving Bernoulli numbers and apply them to obtain infinitely many weighted sum formulas for double zeta values and triple zeta values where the weight coefficients are given by symmetric polynomials. We give a general conjecture in arbitrary depth at the end of the paper.
Recommended Citation
Guo, Li, Peng Lei, Jianqiang Zhao.
2015.
"Families of Weighted Sum Formulas for Multiple Zeta Values."
International Journal of Number Theory, 11 (3): 997.
doi: 10.1142/S1793042115500530
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/415
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 International Journal of Number Theory.