A class of relations among multiple zeta values

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.

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

References in corpus (2)

• Algebraic setup of non-strict multiple zeta values
• On the quasi-derivation relation for multiple zeta values

Cited by in corpus (1)

• On the quasi-derivation relation for multiple zeta values