Euler sums of generalized alternating hyperharmonic numbers II

2021/07/21 by Rusen Li, Li, Rusen
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2108.00826

openalex publication_date 2021/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce a new type of generalized alternating hyperharmonic numbers H_n^(p,r,s₁,s₂), and show that Euler sums of the generalized alternating hyperharmonic numbers H_n^(p,r,s₁,s₂) can be expressed in terms of linear combinations of classical (alternating) Euler sums.

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