English

Some relations of interpolated multiple zeta values

Number Theory 2017-03-30 v2

Abstract

In this paper, the extended double shuffle relations for interpolated multiple zeta values are established. As an application, Hoffman's relations for interpolated multiple zeta values are proved. Furthermore, a generating function for sums of interpolated multiple zeta values of fixed weight, depth and height is represented by hypergeometric functions, and we discuss some special cases.

Keywords

Cite

@article{arxiv.1608.04835,
  title  = {Some relations of interpolated multiple zeta values},
  author = {Zhonghua Li and Chen Qin},
  journal= {arXiv preprint arXiv:1608.04835},
  year   = {2017}
}

Comments

21 pages

R2 v1 2026-06-22T15:21:44.031Z