English

Integral Evaluation of Odd Euler Sums, Multiple $t$-Value $t\left(3,2,\ldots,2\right)$ and Multiple Zeta Value $\zeta(3,2,\ldots,2)$

Number Theory 2021-11-16 v1

Abstract

We construct an analytic approach to evaluate odd Euler sums, multiple zeta value ζ(3,2,,2)\zeta(3,2,\ldots,2) and multiple tt-value t(3,2,,2)t\left(3,2,\ldots,2\right). Moreover, we also conjecture a closed expression for multiple tt-value t(2,,2,1)t\left(2,\ldots,2,1\right).

Keywords

Cite

@article{arxiv.2111.07097,
  title  = {Integral Evaluation of Odd Euler Sums, Multiple $t$-Value $t\left(3,2,\ldots,2\right)$ and Multiple Zeta Value $\zeta(3,2,\ldots,2)$},
  author = {Sarth Chavan and Masato Kobayashi and Jorge Layja},
  journal= {arXiv preprint arXiv:2111.07097},
  year   = {2021}
}

Comments

17 pages