English

Duality on symmetric multiple polylogarithms

Number Theory 2024-11-14 v1

Abstract

There are three kinds of multiple polylogarithms; complex, finite and symmetric. The dualities for the complex and finite cases are known. In this paper, we present proofs of them via iterated integrals and its symmetric counterpart by a similar method.

Keywords

Cite

@article{arxiv.2411.08711,
  title  = {Duality on symmetric multiple polylogarithms},
  author = {Hanamichi Kawamura},
  journal= {arXiv preprint arXiv:2411.08711},
  year   = {2024}
}
R2 v1 2026-06-28T19:58:29.485Z