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On Two Types of Harmonic Number Identities

2012/02/17 by M. J. Kronenburg, Kronenburg, Maarten · 1 citation
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #Scientific Research and Discoveries

paper · pdf · doi:10.48550/arxiv.1202.3981

openalex publication_date 2012/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Two types of finite series of products of harmonic numbers involving nonnegative integer powers are evaluated, also yielding two other important harmonic number identities. The recursion formulas for these sums are derived, which are easily translated into a computer program.

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