English

A proof of the extended double shuffle relation without using integrals

Number Theory 2024-06-27 v2

Abstract

We present a new proof of the extended double shuffle relation for multiple zeta values which notably does not rely on the use of integrals. This proof is based on a formula recently obtained by Maesaka, Watanabe, and the author.

Cite

@article{arxiv.2402.18300,
  title  = {A proof of the extended double shuffle relation without using integrals},
  author = {Shin-ichiro Seki},
  journal= {arXiv preprint arXiv:2402.18300},
  year   = {2024}
}

Comments

8 pages, to appear in Kyushu Journal of Mathematics

R2 v1 2026-06-28T15:03:13.032Z