A class of relations among multiple zeta values

By Gaku Kawashima. 2007

63 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/d3c9e3ba0791f4becec4c6084dcc8d50e9448797

Citations in the corpus

• A new integral–series identity of multiple zeta values and regularizations (2016, unknown): “6 Relationship with Kawashima’s relation In [6], Kawashima obtained a remarkable class of algebraic relations among MZVs.”