English

Structural properties of multiple zeta values

Number Theory 2021-02-09 v3

Abstract

We study some classical identities for multiple zeta values and show that they still hold for zeta functions built on the zeros of an arbitrary function. We introduce the complementary zeta function of a system, which naturally occurs when lifting identities for multiple zeta values to identities for quasisymmetric functions.

Keywords

Cite

@article{arxiv.1809.07492,
  title  = {Structural properties of multiple zeta values},
  author = {Tanay Wakhare and Christophe Vignat},
  journal= {arXiv preprint arXiv:1809.07492},
  year   = {2021}
}

Comments

22 pages, 3rd and final version

R2 v1 2026-06-23T04:12:22.744Z