English

Block shuffle identities for multiple zeta values

Number Theory 2022-06-08 v1

Abstract

In 1998, Borwein, Bradley, Broadhurst and Lison\v{e}k posed two families of conjectural identities among multiple zeta values, later generalized by Charlton using his alternating block notation. In this paper, we prove a new class of identities among multiple zeta values that simultaneously resolve and generalize these conjectures.

Keywords

Cite

@article{arxiv.2206.03458,
  title  = {Block shuffle identities for multiple zeta values},
  author = {Minoru Hirose and Nobuo Sato},
  journal= {arXiv preprint arXiv:2206.03458},
  year   = {2022}
}

Comments

41 pages

R2 v1 2026-06-24T11:42:28.760Z