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PreprintCC BY 4.0arXiv

An Explicit Expression for MZVs in Terms of Symmetric MZVs

  • Katsumi Kina
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Abstract

We provide a simpler proof of the fact, originally proved by Seidai Yasuda, that symmetric multiple zeta values generate the entire space of multiple zeta values. Furthermore, based on this argument, we present an algorithm for expressing multiple zeta values in terms of symmetric multiple zeta values and products of multiple zeta values. Moreover, we give some results on symmetric and finite multiple zeta values of depth three.

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Cite

BibTeXRIS
BibTeX
@misc{kina2026explicit,
  title = {{An Explicit Expression for MZVs in Terms of Symmetric MZVs}},
  author = {Katsumi Kina},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.05795},
  eprint = {2607.05795},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.05795},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - An Explicit Expression for MZVs in Terms of Symmetric MZVs
AU  - Katsumi Kina
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2607.05795
UR  - https://arxiv.org/abs/2607.05795
AB  - We provide a simpler proof of the fact, originally proved by Seidai Yasuda, that symmetric multiple zeta values generate the entire space of multiple zeta values. Furthermore, based on this argument, we present an algorithm for expressing multiple zeta values in terms of symmetric multiple zeta values and products of multiple zeta values. Moreover, we give some results on symmetric and finite multiple zeta values of depth three.
ER  -