Multiple series expressions for the Newton series which interpolate finite multiple harmonic sums

2009/05/03 by Gaku Kawashima, Kawashima, Gaku · 1 citation
Mathematics · #Advanced Mathematical Identities #FOS: Mathematics #Mathematical functions and polynomials #Mathematics and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0905.0243

openalex publication_date 2009/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Newton series which interpolate finite multiple harmonic sums are useful in the study of multiple zeta values (MZV's). In this paper, we prove that these Newton series can be written as multiple series. As an application, we give a formula for MZV's which contains the duality.

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• A Note on Kawashima Functions

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