A class of relations among multiple zeta values

2007/02/27 by Gaku Kawashima, Kawashima, Gaku
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.math/0702824

openalex publication_date 2007/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

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

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