Interpolated polynomial multiple zeta values of fixed weight, depth, and height

2022/11/01 by M. Hirose, Hideki Murahara, Hirose, Minoru +3
Mathematics · #11M32 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical Inequalities and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2211.00265

openalex publication_date 2022/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define the interpolated polynomial multiple zeta values as a generalization of all of multiple zeta values, multiple zeta-star values, interpolated multiple zeta values, symmetric multiple zeta values, and polynomial multiple zeta values. We then compute the generating function of the sum of interpolated polynomial multiple zeta values of fixed weight, depth, and height.

Related

• Some relations of interpolated multiple zeta values
• Sum of interpolated multiple q-zeta values
• Generating functions for sums of polynomial multiple zeta values
• Algebraic relations of interpolated multiple zeta values
• Yamamoto's interpolation of finite multiple zeta and zeta-star values