On harmonic sums and alternating Euler sums

2010/12/23 by Zhonghua Li, Li, Zhong-hua
Mathematics · #11M32 #40B05 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1012.5192

openalex publication_date 2010/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The explicit formulas expressing harmonic sums via alternating Euler sums (colored multiple zeta values) are given, and some explicit evaluations are given as applications.

Related

• Explicit formulas of Euler sums via multiple zeta values
• Parametric Euler Sums of Harmonic Numbers
• Explicit evaluation of harmonic sums
• Explicit evaluation of quadratic Euler sums
• Finite Multiple zeta Values and Finite Euler Sums