Sum of interpolated finite multiple harmonic q-series

2018/11/22 by Zhonghua Li, Li, Zhonghua, Ende Pan +1 · 2 citations
Mathematics · #11M32 #39A13 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1811.09199

openalex publication_date 2018/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define and study the interpolated finite multiple harmonic q-series. A generating function of the sums of the interpolated finite multiple harmonic q-series with fixed weight, depth and i-height is computed. Some Ohno-Zagier type relation with corollaries and some evaluation formulas of the interpolated finite multiple harmonic q-series at roots of unity are given.

Cited by

• Some explicit values of a q-multiple zeta-star function at roots of unity
• Some explicit values of a q-multiple zeta function at roots of unity

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