Kontsevich graphs associated with specific multiple zeta values

Kota Baba

Kontsevich graphs associated with specific multiple zeta values

量子代数 2026-06-24 v1 数论

作者: Kota Baba

摘要

The primary aim of this paper is to provide an explicit construction of Kontsevich graphs whose integrals give certain multiple zeta values. Furthermore, by using this construction, we explicitly determine the weights of $\mathbb{Z}$ -linear combinations of graphs whose integrals yield normalized multiple zeta values of a given weight. The methods employed in this paper are based on those introduced by Ritland, and our results provide a refinement of his results.

引用

@article{arxiv.2606.25457,
  title  = {Kontsevich graphs associated with specific multiple zeta values},
  author = {Kota Baba},
  journal= {arXiv preprint arXiv:2606.25457},
  year   = {2026}
}