Certain weighted sum formulas for multiple zeta values with some parameters

2015/12/28 by Shin-ya Kadota, Kadota, Shin-ya
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical Inequalities and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1512.08345

openalex publication_date 2015/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Multiple zeta values (MZVs) are real numbers which are defined by certain multiple series. Recently, many people have researched for relations among them and many relations are well known. In this paper, we get a new relation among them which is a generalization of a formula obtained by Eie, Liaw and Ong, and has four parameters. Moreover, by using similar method, we also obtain a relation which has six parameters.

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