English

Interpolation of multiple zeta and zeta-star values

Number Theory 2012-03-07 v1

Abstract

We define polynomials of one variable t whose values at t=0 and 1 are the multiple zeta values and the multiple zeta-star values, respectively. We give an application to the two-one conjecture of Ohno-Zudilin, and also prove the cyclic sum formula for these polynomials.

Keywords

Cite

@article{arxiv.1203.1118,
  title  = {Interpolation of multiple zeta and zeta-star values},
  author = {Shuji Yamamoto},
  journal= {arXiv preprint arXiv:1203.1118},
  year   = {2012}
}

Comments

13 pages