English

On multi-interpolated multiple zeta values

Combinatorics 2022-02-04 v3 Number Theory

Abstract

In this note we introduce multi-interpolated multiple zeta values. We provide a basic decomposition of these objects involving ordered partitions. We also obtain identities for special instances of multi-interpolated multiple zeta values ζt({s}k)\zeta^{\vec{t}}(\{s\}_k), generalizing earlier results. Moreover, we introduce a product for multi-interpolated multiple zeta values.

Keywords

Cite

@article{arxiv.2004.03117,
  title  = {On multi-interpolated multiple zeta values},
  author = {Markus Kuba},
  journal= {arXiv preprint arXiv:2004.03117},
  year   = {2022}
}

Comments

18 pages; contains material from an old version 3 of arXiv:1903.07346, which has been split

R2 v1 2026-06-23T14:42:10.899Z