English

Polynomial generalization of the regularization theorem for multiple zeta values

Number Theory 2018-10-31 v2

Abstract

Ihara, Kaneko, and Zagier defined two regularizations of multiple zeta values and proved the regularization theorem that describes the relation between those regularizations. We show that the regularization theorem can be generalized to polynomials whose coefficients are regularizations of multiple zeta values and that specialize to symmetric multiple zeta values defined by Kaneko and Zagier.

Keywords

Cite

@article{arxiv.1808.06745,
  title  = {Polynomial generalization of the regularization theorem for multiple zeta values},
  author = {Minoru Hirose and Hideki Murahara and Shingo Saito},
  journal= {arXiv preprint arXiv:1808.06745},
  year   = {2018}
}

Comments

7 pages; typos corrected

R2 v1 2026-06-23T03:39:06.073Z