Sum formula for multiple zeta function

2018/08/05 by Minoru Hirose, Hideki Murahara, Hirose, Minoru +3
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical Inequalities and Applications #Number Theory (math.NT) #Primary 11M32

paper · pdf · doi:10.48550/arxiv.1808.01559

openalex publication_date 2018/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The sum formula is a well known relation in the field of the multiple zeta values. In this paper, we present its generalization for the Euler-Zagier multiple zeta function.

Related

• On generalizations of the sum formula for multiple zeta values
• Generating functions for sums of polynomial multiple zeta values
• An interpolation of Bradley's sum formula
• Certain weighted sum formulas for multiple zeta values with some parameters
• On three general forms of multiple zeta(-star) values