On three general forms of multiple zeta(-star) values

Kwang-Wu Chen; Minking Eie

On three general forms of multiple zeta(-star) values

Number Theory 2022-02-09 v1

Authors: Kwang-Wu Chen , Minking Eie

Abstract

In this paper, we investigate three general forms of multiple zeta(-star) values. We use these values to give three new sum formulas for multiple zeta(-star) values with height $\leq 2$ and the evaluation of $\zeta^\star(\{1\}^m,\{2\}^{n+1})$ . We also give a new proof of sum formula of multiple zeta values.

Keywords

multiple zeta values zeta values and euler sums exponential sums

Cite

@article{arxiv.2202.03839,
  title  = {On three general forms of multiple zeta(-star) values},
  author = {Kwang-Wu Chen and Minking Eie},
  journal= {arXiv preprint arXiv:2202.03839},
  year   = {2022}
}

Comments

18 pages

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