English

Duality theorems of multiple zeta values with parameters

Number Theory 2017-09-04 v2

Abstract

In this paper, we introduce the method of adding additional factors and a parameter to multiple zeta values and prove some generalizations of the duality theorem and several relations among multiple zeta values. In particular, we are able to evaluate some special (truncated) sums in terms of Riemann zeta values of different weights.

Keywords

Cite

@article{arxiv.1607.00736,
  title  = {Duality theorems of multiple zeta values with parameters},
  author = {Chan-Liang Chung and Minking Eie},
  journal= {arXiv preprint arXiv:1607.00736},
  year   = {2017}
}

Comments

9 pages

R2 v1 2026-06-22T14:42:09.273Z