English

A class of relations among multiple zeta values

Number Theory 2009-01-28 v3

Abstract

We prove a new class of relations among multiple zeta values (MZV's) which contains Ohno's relation. We also give the formula for the maximal number of independent MZV's of fixed weight, under our new relations. To derive our formula for MZV's we consider the Newton series whose values at non-negative integers are finite multiple harmonic sums.

Keywords

Cite

@article{arxiv.math/0702824,
  title  = {A class of relations among multiple zeta values},
  author = {Gaku Kawashima},
  journal= {arXiv preprint arXiv:math/0702824},
  year   = {2009}
}

Comments

36 pages, presentation improved, to appear in Journal of Number Theory

R2 v1 2026-07-22T17:51:50.993Z