@article{08a2f415293048209033d75b9540f575,
title = "Families of weighted sum formulas for multiple zeta values",
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.",
keywords = "Bernoulli numbers, multiple zeta values, symmetric polynomials",
author = "Li Guo and Peng Lei and Jianqiang Zhao",
note = "Funding Information: This work is supported by the National Natural Science Foundation of China (Grant No. 11371178), the State Scholarship Fund of China, the National Science Foundation of the US (Grant No. DMS1001855 and DMS1162116). We also thank the anonymous referees for their comments and suggestions which improved the exposition of this paper greatly. Part of the work was done while JZ was visiting the Max-Planck Institute for Mathematics, and the authors were visiting the Morn-ingside Center of Mathematics in Beijing and the Kavli Institute for Theoretical Physics China. Their support is gratefully acknowledged. Publisher Copyright: {\textcopyright} 2015 World Scientific Publishing Company.",
year = "2015",
month = may,
day = "25",
doi = "10.1142/S1793042115500530",
language = "English (US)",
volume = "11",
pages = "997--1025",
journal = "International Journal of Number Theory",
issn = "1793-0421",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "3",
}